% ---------------------------------------------------------------------------- % % Bibliography on the Solution of % Sparse Linear Systems and Related % Areas of Computation % % Dr. Ricardo Duarte Arantes % % Computational and Applied Mathematics Department % % National Laboratory for Scientific Computation % % Rua Lauro Muller, 455 - Botafogo % 22290-160 - Rio de Janeiro, Brazil % % http://www.lncc.br/~duarte/sparsbib.html % % August 1997 % % ---------------------------------------------------------------------------- % % This bibliographic list of references was originally compiled during the % elaboration of my PhD thesis \cite{A120} (on "Structural Codifications for % the Scalar Solution of Sparse Symmetric Positive Definite Linear Systems"). % % This work has been gradually expanded since them, counting now with more % than 2000 selected references, covering the solution of Sparse Linear % Systems and Related Areas of computation, including: % % Computational Linear Algebra, High Performance Computing, % Mathematical Programming and Graph Theory. % % One additional aspect of this bibliography is the citation of a significant % number of Classical textbook references. % % For the future, a commented version by subject areas is planned, with % the indication of selected works from the literature. % % ============================================================================ % % Previous Release: September 1996 % % Updated: August 1997 % % Number of Entries: 2290 % % Author: Ricardo Duarte Arantes (na.rarantes) % % URL: http://www.lncc.br/~duarte/sparsbib.html % % ============================================================================ % (A) ........................................................................ @article {A1, author = "{Adler, I.} and {Karmarkar, N.} and {Resende, M. G. C.} and {Veiga, G.}", title = "Data Structures and Programming Techniques for the Implementation of {Karmarkar's} Algorithm for Linear Programming", journal = "ORSA J. Computing", volume = "1", number = "2", pages = "84--106", year = "1989"} @techreport {A2, author = "{Alvarado, F. L.} and {Tinney, W. F.} and {Enns, M. K.}", title = "Sparse Matrix Inverse Factors", type = "{Paper}", number = "88-SM-728-8", institution = "Univ. of Wisconsin", address = "Madison", note = "(Presented at {IEEE} {Summer Power Meeting, Portland}, to be published at {IEEE} {Trans. Power Systems, 1990})", year = "1988"} @techreport {A3, author = "{Alvarado, F. L.}", title = "Sparse Matrix Technology for Power System Computer Applications", type = "", institution = "Univ. of Wisconsin", address = "Madison", note = "(Presented at {IEEE} {Winter Power Meeting})", year = "1990"} @techreport {A4, author = "{Alvarado, F. L.} and {Schreiber, R.}", title = "Optimal Parallel Solution of Sparse Triangular Systems", type = "{Contractor Report}", number = "CR-188872", institution = "NASA", year = "1990"} @article {A5, author = "{Alvarado, F. L.}", title = "A Note on Sorting Sparse Matrices", journal = "Proc. of the IEEE", volume = "67", number = "9", pages = "1362--1363", year = "1979"} @techreport {A6, author = "{Alvarado, F. L.} and {Yu, D. C.} and {Betancourt, R.}", title = "Ordering Schemes for Partitioned Sparse Inverses", type = "", institution = "Univ. of Wisconsin", address = "Madison", note = "(Presented at {SIAM Symposium on Sparse Matrices}, Salishan Lodge, Oregon)", year = "1989"} @article {A7, author = "{Alvarado, F. L.}", title = "Manipulation and Visualization of Sparse Matrices", journal = "ORSA J. Computing", volume = "2", number = "2", pages = "186--207", year = "1990"} @techreport {A8, author = "{Arantes, R. D.}", title = "An Hybrid Approach by Symbolic Processing for the Efficient Solution of Sparse Linear Systems with Static Structure Specially Applicable to Interior Point Methods for Linear Programming", note = "(in Portuguese)", type = "{Tech. Report}", number = "102/91", institution = "CEPEL Electric Energy Research Center", address = "Rio de Janeiro", year = "1990"} @techreport {A9, author = "{Ashcraft, C.} and {Eisenstat, S. C.} and {Liu, J. W. H.} and {Sherman, A. H.}", title = "A Comparison of 3 Column-based Distributed Sparse Factorization Schemes", type = "{Tech. Report}", number = "YALEU-DCS-RR-810", institution = "Dept. of Computer Science, Yale Univ.", year = "1990"} @techreport {A10, author = "{Ashcraft, C.} and {Eisenstat, S. C.} and {Liu, J. W. H.} and {Peyton, B.} and {Sherman, A. H.}", title = "A Compute-Ahead Implementation of the Fan-In Sparse Distributed Factorization Scheme", type = "{Tech. Report}", number = "ORNL-TM-11496", institution = "Oak Ridge National Laboratory", year = "1990"} @article {A11, author = "{Ashcraft, C.} and {Grimes, R. G.}", title = "The Influence of Relaxed Supernode Partitions on the Multifrontal Method", journal = "ACM Trans. Math. Software", volume = "15", number = "4", pages = "291--309", year = "1989"} @article {A12, author = "{Ashcraft, C.} and {Grimes, R. G.} and {Lewis, J. G.} and {Peyton, B. W.} and {Simon, H. D.}", title = "Progress in Sparse Matrix Methods for Large Linear Systems on Vector Supercomputers", journal = "Int. J. of Supercomputer Appl.", volume = "1", number = "4", pages = "10--30", year = "1987"} @article {A13, author = "{Ashcraft, C.} and {Eisenstat, S. C.} and {Liu, J. W. H.}", title = "A Fan-In Algorithm for Distributed Sparse Numerical Factorization", journal = "SIAM J. Sci. and Stat. Comput.", volume = "11", number = "3", pages = "593--599", year = "1990"} @techreport {A14, author = "{Ashcraft, C.}", title = "A Vector Implementation of the Multifrontal Method for Large Sparse Symmetric Positive Definite Linear Systems", type = "{Tech. Report}", number = "ETA-TR-51", institution = "Engineering Technology Applications (ETA) Division, Boeing Computer Services", address = "Seattle, Washington", year = "1987"} @article {A15, author = "{Alsa\c c, O.} and {Stott, B.} and {Tinney, W. F.}", title = "Sparsity-Oriented Compensation Methods for Modified Network Solutions", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-102", number = "5", pages = "1050--1060", year = "1983"} @techreport {A16, author = "{Arioli, M.} and {Demmel, J. W.} and {Duff, I. S.}", title = "Solving Sparse Linear Systems with Sparse Backward Error", type = "{Tech. Report}", number = "CSS-214", institution = "Computer Science and Systems Division, AERE, Harwell Laboratory", address = "Didcot, England", note = "({Published at SIAM J. Matrix Anal. Appl. 10(2):165--190, 1989})", year = "1988"} @book {A17, author = "{Anderson, E.} and {Bai, Z.} and {Bischof, C.} and {Demmel, J.} and {Dongarra, J. J.} and {Du Croz, J.} and {Greenbaum, A.} and {Hammarling, S.} and {McKenney, A.} and {Ostrouchov, S.} and {Sorensen, D. C.}", title = "{LAPACK} ``{User's Guide}''", edition = "$2^{nd}$", publisher = "SIAM Publications", year = "1995"} @article {A18, author = "{Amestoy, P. R.}", title = "Vectorization of a Multiprocessor Multifrontal Code", journal = "Int. J. of Supercomputer Appl.", volume = "3", number = "3", pages = "41--59", year = "1989"} @book {A19, author = "{Almasi, G. S.} and {Gottlieb, A.}", title = "Highly Parallel Computing", publisher = "The Benjamin/Cummings Publishing Co.", year = "1989"} @book {A20, author = "{Atkinson, K. E.}", title = "An Introduction to Numerical Analysis", publisher = "John Wiley \& Sons", year = "1978"} @book {A21, author = "{Aho, A. V.} and {Sethi, R.} and {Ullman, J. D.}", title = "Compilers~: Principles, Techniques and Tools", publisher = "Addison-Wesley", year = "1986"} @book {A22, author = "{Aho, A. V.} and {Hopcroft, J. E.} and {Ullman, J. D.}", title = "The Design and Analysis of Computer Algorithms", publisher = "Addison-Wesley", year = "1974"} @book {A23, author = "{Aho, A. V.} and {Hopcroft, J. E.} and {Ullman, J. D.}", title = "Data Structures and Algorithms", publisher = "Addison-Wesley", year = "1983"} @book {A24, author = "{Aho, A. V.} and {Ullman, J. D.}", title = "The Theory of Parsing, Translation and Compiling, volume {2}~: Compiling", publisher = "Prentice-Hall", year = "1973"} @mastersthesis {A25, author = "{Arantes, R. D.}", title = "Symbolic Methodologies for the Efficient Solution of Sparse Linear Systems with Static Structure", note = "(in Portuguese)", school = "Systems and Computation Engineering Dept., COPPE / Federal University of Rio de Janeiro", address = "Rio de Janeiro, Brazil", year = "1994"} @article {A26, author = "{Alfeld, P.} and {Eyre, D. J.}", title = "The Exact Analysis of Sparse Rectangular Linear Systems", journal = "ACM Trans. Math. Software", volume = "17", number = "4", pages = "502--518", year = "1991"} @article {A27, author = "{Alfeld, P.} and {Eyre, D. J.}", title = "Algorithm 701~: {GOLIATH}, {A} Software System for the Exact Analysis of Rectangular Rank-Deficient Sparse Rational Linear Systems", journal = "ACM Trans. Math. Software", volume = "17", number = "4", pages = "519--532", year = "1991"} @article {A28, author = "{Angelaccio, M.} and {Colajanni, M.}", title = "Subcube Matrix Decomposition~: {A} Unifying View for {LU} Factorization on Multicomputers", journal = "Parallel Computing", volume = "20", pages = "257--270", year = "1994"} @article {A29, author = "{Alaghband, G.}", title = "Parallel Sparse Matrix Solution and Performance", journal = "Parallel Computing", volume = "21", pages = "1407--1430", year = "1995"} @article {A30, author = "{Alaghband, G.}", title = "Parallel Pivoting Combined with Parallel Reduction and Fill-In Control", journal = "Parallel Computing", volume = "11", pages = "201--221", year = "1989"} @article {A31, author = "{Alaghband, G.} and {Jordan, H. F.}", title = "Sparse {Gaussian} Elimination with Controlled Fill-In on a Shared Memory Multiprocessor", journal = "IEEE Trans. Comput.", volume = "C-38", number = "11", pages = "1539--1557", year = "1989"} @techreport {A32, author = "{Alaghband, G.} and {Jordan, H. F.}", title = "Parallelizing a Sparse Matrix Package", type = "{Tech. Report}", number = "CSDG-83-3", institution = "Computer System Design Group, Electrical and Computer Eng. Dept., Univ. of Colorado", year = "1983"} @article {A33, author = "{Andersen, J.} and {Mitra, G.} and {Parkinson, D.}", title = "The Scheduling of Sparse Matrix-Vector Multiplication on a Massively Parallel {DAP} Computer", journal = "Parallel Computing", volume = "18", pages = "675--697", year = "1992"} @techreport {A34, author = "{Ashcraft, C.}", title = "The Domain/Segment Partition for the Factorization of Sparse Symmetric Positive Definite Matrices", type = "{Tech. Report}", number = "ECA-TR-148", institution = "Engineering Computing and Analysis (ECA) Division, Boeing Computer Services", address = "Seattle, Washington", year = "1990"} @book {A35, author = "{Akl, S. G.}", title = "The Design and Analysis of Parallel Algorithms", publisher = "Prentice-Hall", year = "1989"} @book {A36, author = "{Akl, S. G.}", title = "Parallel Sorting Algorithms", publisher = "Academic Press", year = "1985"} @book {A37, author = "{Akl, S. G.} and {Lyons, K. A.}", title = "Parallel Computational Geometry", publisher = "Prentice-Hall", year = "1993"} @book {A38, editor = "{Abramowitz, M.} and {Stegun, I. A.}", title = "Handbook of Mathematical Functions", publisher = "Dover Publications", year = "1964"} @book {A39, author = "{Arden, B. W.} and {Astill, K. N.}", title = "Numerical Algorithms~: Origins and Applications", publisher = "Addison-Wesley", year = "1970"} @book {A40, author = "{Arden, B. W.}", title = "An Introduction to Digital Computing", publisher = "Addison-Wesley", year = "1963"} @book {A41, author = "{Acton, F. S.}", title = "Numerical Methods That Work", publisher = "Harper and Row", year = "1970"} @article {A42, author = "{Arioli, M.} and {Duff, I. S.} and {Rijk, P. P. M.}", title = "On the Augmented System Approach to Sparse Least-Squares Problem", journal = "Numer. Math.", volume = "55", pages = "667--684", year = "1989"} @book {A43, author = "{Aho, A. V.} and {Ullman, J. D.}", title = "Principles of Compiler Design", publisher = "Prentice-Hall", year = "1977"} @misc {A44, author = "{ACM}", title = "{Special Issue}~: {Programming}", howpublished = "{ACM Computing Surveys, 6(4)}", year = "1974"} @techreport {A45, author = "{Agerwala, T.} and {Cocke, J.}", title = "High Performance Reduced Instruction Set Processors", type = "{Tech. Report}", institution = "IBM", year = "1987"} @techreport {A46, author = "{Alvarado, F. L.} and {Tinney, W. F.}", title = "State Estimation using Augmented Block Matrices", type = "{Paper}", number = "90-WM-241-0-PWRS", institution = "Univ. of Wisconsin", address = "Madison", note = "(Presented at {IEEE} {Winter Power Meeting})", year = "1990"} @mastersthesis {A47, author = "{Azevedo, G. P.}", title = "Uma Nova Estrat\'egia para a Solu\c c\~ao de Problemas de Estima\c c\~ao de Estado com Restri\c c\~oes de Igualdade", school = "COPPE/UFRJ", year = "1989"} @techreport {A48, author = "{Alvarado, F. L.} and {Enns, M. K.}", title = "Blocked Sparse Matrices in Electric Power Systems", type = "{Paper}", number = "A-76-362-4", institution = "Univ. of Wisconsin", address = "Madison", note = "(Presented at {IEEE} {Summer Power Meeting, Portland})", year = "1976"} @inproceedings {A49, author = "{Amorim, C. L.} and {Citro, R.} and {Souza, A. F.} and {Chaves Filho, E. M.}", title = "O Sistema de Computa\c c\~ao Paralela {NCP} {I}", booktitle = "Anais do V Simp\'osio Brasileiro de Arquitetura de Computadores e Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de Computa\c c\~ao", pages = "89--102", year = "1993"} @inproceedings {A50, author = "{Arantes, R. D.} and {Amorim, C. L.}", title = "Parallel Solution of Sparse Systems of Linear Equations", note = "(in Portuguese)", booktitle = "Annals of V Brazilian Symposium of Computer Architectures and High Performance Computing -- XIII Congress of the Brazilian Computing Society", pages = "202--216", address = "Florian\'opolis, Brazil", year = "1993"} @inproceedings {A51, author = "{Amorim, C. L.}", title = "Simulated Performance of a Class of Vector Processors", editor = "{Kartashev, L. P.} and {Kartashev, S. I.}", booktitle = "Proc. $2^{nd}$ International Conference on Supercomputing", pages = "350--358", year = "1987"} @article {A52, author = "{Aykanat, C.} and {Ozguner, F.} and {Ercal, F.} and {Sadayapan, P.}", title = "Iterative Algorithms for Solution of Large Sparse Systems of Linear Equations on Hypercubes", journal = "IEEE Trans. Comput.", volume = "C-37", number = "12", year = "1988"} @article {A53, author = "{Alvarado, F. L.} and {Yu, D. C.} and {Betancourt, R.}", title = "Partitioned Sparse ${A}^{-1}$ Methods", journal = "IEEE Trans. Power Systems", volume = "PWRS-5", number = "2", pages = "452--459", year = "1990"} @article {A54, author = "{Alvarado, F. L.}", title = "Parallel Solution of Transient Problems by Trapezoidal Integration", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-98", pages = "1080--1090", year = "1979"} @article {A55, author = "{Armijo, L.}", title = "Minimization of Functions having {Lipschitz-continuous} First Partial Derivatives", journal = "Pacific J. Math.", volume = "16", pages = "1--3", year = "1980"} @book {A56, author = "{Avriel, M.}", title = "Nonlinear Programming~: Analysis and Methods", publisher = "Prentice-Hall", year = "1976"} @manual {A57, author = "{American Standards Association, Inc.}", title = "X3.9 1966 American National Standard {FORTRAN}", year = "1966"} @manual {A58, author = "{American Standards Association, Inc.}", title = "X3.9 1978 American National Standard {FORTRAN}", year = "1978"} @book {A59, editor = "{Abadie, J.}", title = "Nonlinear Programming", publisher = "North-Holland", year = "1967"} @phdthesis {A60, author = "{Ashcraft, C.}", title = "The Aggregate Model for the Factorization of Symmetric Positive Definite Matrices", school = "Dept. of Computer Science, Yale Univ.", address = "New Haven", year = "1990"} @article {A61, author = "{Aho, A. V.} and {Garey, M. R.} and {Ullmann, J. D.}", title = "The Transitive Reduction of a Directed Graph", journal = "SIAM J. Comput.", volume = "1", pages = "131--137", year = "1972"} @article {A62, author = "{Aho, A. V.} and {Hopcroft, J. E.} and {Ullmann, J. D.}", title = "On Finding Lowest Common Ancestors in Trees", journal = "SIAM J. Comput.", volume = "5", pages = "115--132", year = "1976"} @article {A63, author = "{Aspvall, B.} and {Stone, R. E.}", title = "{Khachiyan's} Linear Programming Algorithm", journal = "J. Algorithms", volume = "1", pages = "1--13", year = "1980"} @article {A64, author = "{Aspvall, B.} and {Gilbert, J. R.}", title = "Graph Coloring using Eigenvalue Decomposition", journal = "SIAM J. Alg. and Discr. Methods", volume = "5", pages = "526--538", year = "1984"} @article {A65, author = "{Alvarado, F. L.} and {Schreiber, R.}", title = "Optimal Parallel Solution of Sparse Triangular Systems", journal = "SIAM J. Sci. and Stat. Comput.", volume = "14", pages = "446--460", year = "1993"} @article {A66, author = "{Anderson, E.} and {Saad, Y.}", title = "Solving Sparse Triangular Linear Systems on Parallel Computers", journal = "Internat. J. High Speed Comput.", volume = "1", pages = "73--95", year = "1989"} @article {A67, author = "{Aasen, J. O.}", title = "On the Reduction of a Symmetric Matrix to Tridiagonal Form", journal = "BIT", volume = "11", pages = "233--242", year = "1971"} @techreport {A68, author = "{Arioli, M.} and {Duff, I. S.}", title = "Experiments Tearing Large Sparse Systems", type = "{Tech. Report}", number = "CSS-217", institution = "Computer Science and Systems Division, AERE, Harwell Laboratory", address = "Didcot, England", note = "(To be published at {Proc. of Advances in Numerical Computation}, from {National Propulsion Laboratory, 1987} in the memory of {James Wilkinson})", year = "1988"} @techreport {A69, author = "{Alaghband, G.} and {Jordan, H. F.}", title = "Parallelization of the {MA28} Sparse Matrix Package for the {HEP}", type = "{Tech. Report}", number = "CSDG-83-3", institution = "Dept. of Electrical and Computer Eng., Univ. of Colorado", address = "Boulder", year = "1983"} @techreport {A70, author = "{Alaghband, G.} and {Jordan, H. F.}", title = "Multiprocessor Sparse {L/U} Decomposition with Controlled Fill-In", type = "{Tech. Report}", number = "85-48", institution = "ICASE, NASA Langley Research Center", address = "Hampton", year = "1985"} @techreport{A71, author = "{Alaghband, G.} and {Jordan, H. F.}", title = "Sparse {Gaussian} Elimination with Controlled Fill-in on a Shared Memory Multiprocessor", type = "{Tech. Report}", number = "ECSE 86-1-5", institution = "Dept. of Electrical and Computer Eng., Univ. of Colorado", year = "1986"} @techreport {A72, author = "{Alaghband, G.}", title = "Parallel Pivoting Combined with Parallel Reduction", type = "{Tech. Report}", number = "87-75", institution = "ICASE, NASA Langley Research Center", address = "Hampton", year = "1987"} @phdthesis {A73, author = "{Alaghband, G.}", title = "Multiprocessor Sparse {LU} Decomposition with Controlled Fill-in", school = "Univ. of Colorado, Boulder", year = "1988"} @inproceedings {A74, author = "{Amano, H.} and {Boku, T.} and {Kudoh, T.} and {Aiso, H.}", title = "A New Version of the Sparse Matrix Solving Machine", booktitle = "Proc. $12^{th}$ International Symposium on Computer Architecture", pages = "100--107", year = "1985"} @techreport {A75, author = "{Ashcraft, C.} and {Lewis, J. G.} and {Peyton, B. W.}", title = "A Supernodal Implementation of General Sparse Factorization for Vector Computers", type = "{Tech. Report}", number = "ETA-TR-52", institution = "ETA Division, Boeing Computer Services", address = "Seattle, Washington", year = "1987"} @phdthesis {A76, author = "{Amestoy, P. R.}", title = "Factorization of Large Sparse Matrices Based on a Multifrontal Approach in a of Multiprocessor Environment", school = "CERFACS", address = "Toulouse", note = "({Report TH-PA-91-2})", year = "1991"} @article {A77, author = "{Amestoy, P. R.} and {Duff, I. S.}", title = "Memory Allocation Issues in Sparse Multiprocessor Multifrontal Methods", journal = "Int. J. of Supercomputer Appl.", volume = "7", pages = "64--82", year = "1993"} @article {A78, author = "{Arioli, M.} and {Duff, I. S.} and {Noailles, J.} and {Ruiz, D.}", title = "A Block Projection Method for Sparse Matrices", journal = "SIAM J. Sci. and Stat. Comput.", volume = "13", pages = "47--70", year = "1990"} @article {A79, author = "{Amdahl, G. M.}", title = "The Validity of the Single Processor Approach to Achieving Large Scale Computing Capabilities", journal = "AFIPS Conf. Proc.", volume = "30", pages = "483--485", year = "1967"} @article {A80, author = "{Amdahl, G. M.}", title = "Limits of Expectation", journal = "Int. J. of Supercomputer Appl.", volume = "2", number = "1", pages = "88--97", year = "1988"} @book {A81, editor = "{Alavi, Y.} and {Chung, F. R. K.} and {Graham, R. L.} and {Hsu, F.}", title = "Graph Theory, Combinatorics, Algorithms, and Applications, Proc. Conference held at San Francisco State University, 1989", publisher = "SIAM Publications", year = "1991"} @article {A82, author = "{Adler, I.} and {Karp, R. M.} and {Shamir, R.}", title = "A Simplex Variant Solving an $m$ x $d$ Linear Program in ${O}(min(m^2,d^2))$ Expected Number of Pivot Steps", journal = "J. Complexity", volume = "3", pages = "372--387", year = "1987"} @article {A84, author = "{Anderson, D. W.} and {Sparacio, F. J.} and {Tomasulo, R. M.}", title = "The {IBM 360 Model 91}~: {Machine} Philosophy and Instruction Handling", journal = "IBM J. of Research and Development", volume = "11", number = "1", pages = "8--24", year = "1967"} @article {A85, author = "{Adler, I.} and {Resende, M. G. C.} and {Veiga, G.} and {Karmarkar, N.}", title = "An Implementation of {Karmarkar's} Algorithm for Linear Programming", journal = "Math. Programming", volume = "44", pages = "297--335", note = "(Errata in {Math. Programming, 50, page 415, 1991})", year = "1989"} @inproceedings {A86, author = "{Allen, R. H.}", title = "Fast Computer Aided Analysis of Nonlinear Electronic Circuits", booktitle = "Proc. Cornell Conference on Computerized Electronics", organization = "Cornell Univ.", pages = "326--345", address = "Ithaca", year = "1969"} @book {A87, editor = "{Ahlberg, H. H.} and {Nilson, E.} and {Walsh, J. L.}", title = "The Theory of Splines and Their Applications", publisher = "Academic Press", year = "1967"} @article {A88, author = "{Alway, G. G.} and {Martin, D. W.}", title = "An Algorithm for Reducing the Bandwidth of a Matrix of Symmetric Configuration", journal = "Computing J.", volume = "8", pages = "264--272", year = "1965"} @book {A89, editor = "{Ames, W. F.}", title = "Nonlinear Partial Differential Equations in Engineering", publisher = "Academic Press", year = "1965"} @book {A90, editor = "{Argyris, J. H.}", title = "Recent Advances in Matrix Methods of Structural Analysis", publisher = "Macmillan", address = "New York", year = "1964"} @misc {A91, author = "{ASCE}", title = "{Extensive Bibliography on the use of Digital Computers in Structural Engineering}", howpublished = "{J. Amer. Soc. Civil Engrs., Structural Division, 89, pp. 461--491}", year = "1963"} @article {A92, author = "{Anderson, J. P.}", title = "Program Structures for Parallel Processing", journal = "Comm. ACM", volume = "8", pages = "786--788", year = "1965"} @article {A93, author = "{Alvarado, F. L.}", title = "Computational Complexity in Power Systems", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-95", number = "4", pages = "1028--1037", year = "1976"} @article {A94, author = "{Alvarado, F. L.} and {Reitan, D. K.} and {Bahari-Kashani, M.}", title = "Sparsity in Diakoptic Algorithms", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-96", number = "5", pages = "1450--1459", year = "1977"} @article {A95, author = "{Alvarado, F. L.} and {Mong, S. K.} and {Enns, M. K.}", title = "A Fault Program with Macros, Monitors and Direct Compensation in Mutual Groups", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-104", pages = "1109--1120", year = "1985"} @article {A96, author = "{Alvarado, F. L.} and {Enns, M. K.} and {Tinney, W. F.}", title = "Sparsity Enhancement in Mutually Coupled Networks", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-103", pages = "1582--1509", year = "1984"} @book {A97, author = "{Anon}", title = "Modern Computing Methods", series = "Notes in Applied Science", volume = "16", publisher = "Her Majesty's Stationery Office", address = "London", year = "1961"} @article {A98, author = "{Atkinson, L. V.}", title = "Hashing Matrix Subscripts", journal = "BIT", volume = "15", pages = "328--330", year = "1975"} @article {A99, author = "{Andrews, H. C.}", title = "Degrees of Freedom and Modular Structure in Matrix Multiplications", journal = "IEEE Trans. Comput.", volume = "C-20", pages = "133--141", year = "1971"} @article {A100, author = "{Amdahl, G. M.} and {Blaauw, G. A.} and {Brooks, F. P. Jr.}", title = "Architecture of the {IBM System/360}", journal = "IBM J. of Research and Development", volume = "8", number = "2", pages = "87--101", year = "1964"} @article {A101, author = "{Armstrong, B. A.}", title = "Near Minimal Matrix Profiles and Wavefronts for Testing Nodal Resequencing Algorithms", journal = "Int. J. Numer. Meth. Eng.", volume = "21", pages = "1785--1790", year = "1986"} @book {A102, editor = "{Argyris, J. H.}", title = "Energy Theorems and Structural Analysis", publisher = "Butterworths", address = "London", year = "1960"} @article {A103, author = "{Arnborg, S.}", title = "Efficient Algorithms for Combinatorial Problems on Graphs with Bounded Decomposability~: {A} Survey", journal = "BIT", volume = "25", pages = "2--23", year = "1985"} @article {A104, author = "{Arnborg, S.} and {Corneil, D. G.} and {Proskurowski, A.}", title = "Complexity of Finding Embebdings in a K-Tree", journal = "SIAM J. Alg. and Discr. Meth.", volume = "8", pages = "277--284", year = "1987"} @article {A105, author = "{Arnborg, S.} and {Lagergren, J.} and {Seese, D.}", title = "Easy Problems for Tree-Decomposable Graphs", journal = "J. of Algorithms", volume = "12", pages = "308--340", year = "1991"} @article {A106, author = "{Al-Bassam, S.} and {El-Rewini, H.}", title = "Processor Allocation for Hypercubes", journal = "J. of Parallel and Distributed Computing", volume = "16", pages = "394--401", year = "1992"} @incollection {A107, author = "{Alpern, B.} and {Carter, L.}", title = "Performance Programming~: {A} Science Waiting to Happen", editor = "{Vishkin, U.}", booktitle = "Developing a Computer Science Agenda for High-Performance Computing", publisher = "ACM Press", year = "1994"} @inproceedings {A108, author = "{Alpern, B.} and {Carter, L.}", title = "Is Scalability Relevant~?~: {A} Look at Sparse Matrix-Vector Product", booktitle = "Proc. $7^{th}$ SIAM Conference on Parallel Processing", address = "San Francisco", year = "1995"} @inproceedings {A109, author = "{Alpern, B.} and {Carter, L.}", title = "Message Compression for High Performance", booktitle = "Proc. $7^{th}$ SIAM Conference on Parallel Processing", address = "San Francisco", year = "1995"} @inproceedings {A110, author = "{Alpern, B.} and {Carter, L.} and {Ferrante, J.}", title = "Modeling Parallel Computers as Memory Hierarchies", booktitle = "Proc. Programming Models for Massively Parallel Computers", year = "1993"} @inproceedings {A111, author = "{Alpern, B.} and {Carter, L.} and {Selker, T.}", title = "Visualizing Computer Memory Architectures", booktitle = "IEEE Visualization '90 Conference", year = "1990"} @techreport {A112, author = "{Alpern, B.} and {Carter, L.}", title = "The Myth of Scalable High Performance", type = "{Tech. Report}", institution = "Computer Science and Eng. Dept., San Diego Supercomputer Center, Univ. of California", address = "San Diego", year = "1995"} @techreport {A113, author = "{Alpern, B.} and {Carter, L.} and {Feig, E.} and {Selker, T.}", title = "The Uniform Memory Hierarchy Model of Computation", type = "{Tech. Report}", institution = "IBM Thomas J. Watson Research Center", address = "Yorktown Heights", year = "1992"} @manual {A114, author = "{Anon}", title = "Harwell Subroutine Library~: {A} Catalogue of Subroutines ({Release 11})", organization = "Theoretical Studies Department, AEA Industrial Technology", year = "1993"} @techreport {A115, author = "{Amestoy, P. R.} and {Duff, I. S.}", title = "{MUPS}~: {A} Parallel Package for Solving Sparse Unsymmetric Sets of Linear Equations", type = "{Tech. Report}", institution = "CERFACS", year = "1994"} @techreport {A116, author = "{Ashcraft, C.} and {Liu, J. W. H.}", title = "Using Domain Decomposition to Find Graph Bisectors", type = "{Tech. Report}", number = "CS-95-08", institution = "Dept. of Computer Science, York Univ.", address = "North York, Ontario", year = "1995"} @article {A117, author = "{Ashcraft, C.}", title = "Compressed Graphs and the Minimum Degree Algorithm", journal = "SIAM J. Sci. and Stat. Comput.", note = "({Tech. Report BCS-TECH-93-024, Boeing Computer Services, To be published})", year = "1995"} @techreport {A118, author = "{Ashcraft, C.} and {Liu, J. W. H.}", title = "A Partition Improvement Algorithm for Generalized Nested Dissection", type = "{Tech. Report}", number = "BCS-TECH-94-020", institution = "Boeing Computer Services", address = "Seattle", year = "1994"} @inproceedings {A119, author = "{Ashcraft, C.} and {Liu, J. W. H.}", title = "Generalized Nested Dissection~: {Some} Recent Progress", booktitle = "Proc. $5^{th}$ SIAM Conf. on Applied Linear Algebra", address = "Snowbird, Utah", year = "1994"} @phdthesis {A120, author = "{Arantes, R. D.}", title = "Structural Codifications for the Scalar Solution of Sparse Symmetric Positive Definite Linear Systems", note = "(in Portuguese)", school = "Systems and Computation Engineering Dept., COPPE / Federal University of Rio de Janeiro", address = "Rio de Janeiro, Brazil", year = "1996"} @inproceedings {A121, author = "{Arantes, R. D.}", title = "New Methodologies for the Solution of Sparse Positive Definite Linear Systems", note = "(in Portuguese)", booktitle = "Annals of XIX National Congress of Computational and Applied Mathematics", pages = "419--420", address = "Goi\^ania, Brazil", year = "1996"} @misc {A122, author = "{Arantes, R. D.}", title = "Implicit Reorderings for the Scalar Solution of Sparse Positive Definite Linear Systems", note = "(Talk presented at the 2nd Summer School of the Brazilian National Laboratory for Scientific Computation)", address = "Rio de Janeiro, Brazil", month = "February", year = "1997"} @misc {A123, author = "{Arantes, R. D.}", title = "Code Orderings for the Solution of Sparse Positive Definite Linear Systems", note = "(Talk to be presented at the II Pan American Workshop on Applied and Computational Mathematics)", address = "Gramado, Brazil", month = "September", year = "1997"} % (B) ........................................................................ @article {B1, author = "{Bank, R. E.} and {Smith, R. K.}", title = "General Sparse Elimination Requires No Permanent Integer Storage", journal = "SIAM J. Sci. and Stat. Comput.", volume = "8", number = "4", pages = "574--584", year = "1987"} @article {B2, author = "{Bank, R. E.} and {Rose, D. J.}", title = "On the Complexity of Sparse {Gaussian} Elimination via Bordering", journal = "SIAM J. Sci. and Stat. Comput.", volume = "11", number = "1", pages = "145--160", year = "1990"} @book {B3, author = "{Barker, V. A.}", title = "Course in Advanced Sparse Matrix Techniques~: {Copenhagen} 1976", series = "Lecture Notes in Mathematics", volume = "572", publisher = "Springer-Verlag", year = "1977"} @article {B4, author = "{Brayton, R. K.} and {Gustavson, F. G.} and {Willoughby, R. A.}", title = "Some Results on Sparse Matrices", journal = "Math. of Computation", volume = "24", pages = "937--954", note = "({Originally in Tech. Report RC-2332, IBM Research Center, Yorktown Heights, New York, 1969})", year = "1970"} @book {B5, author = "{Bunch, J. R.} and {Rose, D. J.}", title = "Sparse Matrix Computations", publisher = "Academic Press", year = "1976"} @article {B6, author = "{Bunch, J. R.}", title = "Analysis of Sparse Elimination", journal = "SIAM J. Numer. Anal.", volume = "11", pages = "847--873", year = "1974"} @article {B7, author = "{Bunch, J. R.} and {Parlett, B. N.}", title = "Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations", journal = "SIAM J. Numer. Anal.", volume = "8", pages = "639--655", year = "1971"} @article {B8, author = "{Betancourt, R.}", title = "An Efficient Heuristic Ordering Algorithm for Partial Matrix Refactorization", journal = "IEEE Trans. Power Systems", volume = "PWRS-3", number = "3", pages = "1181--1187", year = "1988"} @article {B9, author = "{Benner, R.} and {Montry, G.} and {Weigand, G.}", title = "Concurrent Multifrontal Methods~: {Shared} Memory, Cache and Frontwidth Issues", journal = "Int. J. of Supercomputer Appl.", volume = "1", number = "3", pages = "26--44", year = "1987"} @article {B10, author = "{Browne, J.} and {Dongarra, J.} and {Karp, A. H.} and {Kennedy, K.} and {Kuck, D.}", title = "1988 {Gordon Bell} Prize", note = "({Special Report})", journal = "IEEE Software", volume = "6", pages = "78--85", year = "1989"} @book {B11, author = "{Barret, R.} and {Berry, M.} and {Chan, T.} and {Demmel, J.} and {Donato, J.} and {Dongarra, J.} and {Eijkhout, V.} and {Romine, C.} and {van der Vorst, H.}", title = "Templates for the Solution of Linear Systems~: Building Blocks for Iterative Methods", publisher = "SIAM Publications", year = "1993"} @book {B12, editor = "{Boggs, P. T.} and {Byrd, R. H.} and {Schnabel, R. B.}", title = "Numerical Optimization 1984", publisher = "SIAM Publications", year = "1985"} @book {B13, author = "{Bertsekas, D. P.} and {Tsitsiklis, J. N.}", title = "Parallel and Distributed Computation -- {N}umerical Methods", publisher = "Prentice Hall", year = "1989"} @article {B14, author = "{Bailey, D. H.}", title = "Extra High Speed Matrix Multiplication on the {CRAY-2}", journal = "SIAM J. Sci. and Stat. 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L.}", title = "Programming Pearls", publisher = "Addison-Wesley", year = "1986"} @book {B22, author = "{Berge, C.}", title = "Graphs and Hypergraphs", publisher = "North-Holland", year = "1973"} @book {B23, author = "{Berge, C.}", title = "The Theory of Graphs and its Applications", publisher = "John Wiley \& Sons", year = "1962"} @book {B24, author = "{Bondy, J. A.} and {Murty, U. S. R.}", title = "Graph Theory with Applications", publisher = "North-Holland", year = "1976"} @article {B25, author = "{Bixby, R. E.}", title = "Progress in Linear Programming", journal = "ORSA J. Computing", volume = "6", number = "1", pages = "15--22", year = "1994"} @techreport {B26, author = "{Blum, L.}", title = "Lectures on a Theory of Computation and Complexity over the Reals (or an Arbitrary Ring)", type = "{Tech. Report}", number = "TR-89-065", institution = "International Computer Science Institute, Berkeley", year = "1989"} @article {B27, author = "{Buoni, J. J.} and {Farrel, P. A.} and {Ruttan, A.}", title = "Algorithms for {LU} Decomposition on a Shared Memory Multiprocessor", journal = "Parallel Computing", volume = "19", pages = "925--937", year = "1993"} @article {B28, author = "{Borosh, I.} and {Fraenkel, A. S.}", title = "Exact Solution of Linear Equations with Rational Coefficients by Congruence Techniques", journal = "Math. of Computation", volume = "20", number = "93", pages = "107--112", year = "1966"} @inproceedings {B29, author = "{Bik, A. J. C.} and {Wijshoff, H. A. G.}", title = "Compilation Techniques for Sparse Matrix Computations", booktitle = "ACM International Conference on Supercomputing", address = "Tokyo", year = "1993"} @techreport {B30, author = "{Bischof, C. H.} and {Dongarra, J. J.}", title = "A project for Developing a Linear Algebra Library for High-Performance Computers", type = "{Tech. Report}", number = "MCS-P-105-0989", institution = "Argonne National Laboratory", year = "1989"} @techreport {B31, author = "{Blair, J. R. S.} and {Peyton, B. W.}", title = "On Finding Minimum-Diameter Clique Trees", type = "{Tech. Report}", number = "ORNL-TM-11850", institution = "Oak Ridge National Laboratory", year = "1991"} @book {B32, author = "{Brassard, G.} and {Bratley, P.}", title = "Algorithmics~: Theory and Practice", publisher = "Prentice-Hall", year = "1988"} @book {B33, author = "{Baase, S.}", title = "Computer Algorithms", edition = "$2^{nd}$", publisher = "Addison-Wesley", year = "1985"} @book {B34, editor = "{Bender, C. M.} and {Orszag, S. A.}", title = "Advanced Mathematical Methods for Scientists and Engineers", publisher = "McGraw-Hill", year = "1978"} @book {B35, author = "{de Boor, C.}", title = "A Practical Guide to Splines", publisher = "Springer-Verlag", year = "1978"} @book {B36, author = "{Brent, R. P.}", title = "Algorithms for Minimization Without Derivatives", publisher = "Prentice-Hall", year = "1973"} @book {B37, author = "{Brigham, O.}", title = "The Fast Fourier Transform", publisher = "Prentice-Hall", year = "1974"} @book {B38, author = "{Boyer, C. B.}", title = "A History of Mathematics", publisher = "John Wiley \& Sons", year = "1968"} @book {B39, author = "{Bell, E. T.}", title = "Men of Mathematics", publisher = "Simon and Schuster", year = "1975"} @article {B40, author = "{Backus, J.}", title = "The History of {FORTRAN} {I}, {II}, and {III}", journal = "Annals of the History of Computing", volume = "1", pages = "21--37", year = "1979"} @techreport {B41, author = "{Boisvert, R. F.} and {Howe, S. E.} and {Kahaner, D. K.}", title = "The Guide to Available Mathematical Software", type = "{Tech. Report}", number = "PB-84-171305", institution = "National Technical Information Service", address = "Virginia", year = "1984"} @book {B42, author = "{Bratley, P.} and {Fox, B. L.} and {Schrage, L.}", title = "A Guide to Simulation", publisher = "Springer-Verlag", year = "1987"} @book {B43, author = "{Briggs, W. L.}", title = "A Multigrid Tutorial", publisher = "SIAM Publications", year = "1987"} @article {B44, author = "{Barbosa, V. C.} and {Fernandes, E. S. T.} and {Amorim, C. L.}", title = "Perspectivas em Processamento Paralelo para Computa\c c\~ao Cient\'\i fica", journal = "Pesquisa Operacional", volume = "8", number = "1", pages = "20--40", year = "1988"} @article {B45, author = "{Byrd, R. H.} and {Schnabel, R. B.} and {Shultz, G. A.}", title = "Parallel Quasi-{Newton} Methods for Unconstrained Optimization", journal = "Math. Programming", volume = "42", number = "2", pages = "273--306", year = "1988"} @article {B46, author = "{Bertsekas, D. P.} and {Eckstein, J.}", title = "Dual Coordinate Step Methods for Linear Network Flow Problems", journal = "Math. Programming", volume = "42", number = "2", pages = "203--244", year = "1988"} @article {B47, author = "{Bixby, R. E.} and {Dennis, J. E. Jr.} and {Wu, Z.}", title = "Solving Nonlinear Integer Programs with a Subgradient Approach on Parallel Computers", journal = "SIAM News", volume = "25", number = "4", pages = "1, 18--19", year = "1992"} @article {B48, author = "{Bixby, R. E.} and {Gregory, J. W.} and {Lustig, I. J.} and {Marsten, R. E.} and {Shanno, D. F.}", title = "Very Large-Scale Linear Programming~: {A} Case Study in Combining Interior Point and Simplex Methods", journal = "Operations Res.", volume = "40", pages = "885-897", year = "1992"} @article {B49, author = "{Bixby, R. E.}", title = "Implementing the Simplex Method~: {The} Initial Basis", journal = "ORSA J. Computing", volume = "4", number = "3", pages = "267--284", year = "1992"} @article {B50, author = "{Bayer, D. A.} and {Lagarias, J. C.}", title = "The Nonlinear Geometry of Linear Programming -- {II}~: {Legendre} Transform Coordinates", journal = "Trans. of the American Math. Soc.", volume = "314", pages = "527--581", year = "1989"} @article {B51, author = "{Birge, J. R.} and {Freund, R. M.} and {Vanderbei, R. J.}", title = "Prior Reduced Fill-in in Solving Equations in Interior Point Algorithms", journal = "Operations Res. Letters", volume = "11", pages = "195--198", year = "1992"} @inproceedings {B52, author = "{Baumann, R.}", title = "Some New Aspects on Load-Flow Calculation -- {I}~: {Impedance} Matrix Generation Controlled by Network Topology", booktitle = "Power System Computation Conference", address = "Stockholm", year = "1966"} @techreport {B53, author = "{Bree, D. Jr.}", title = "Some Remarks on the Application of Graph Theory to the Solution of Sparse Systems of Linear Equations", type = "{Internal Publication}", institution = "Bonneville Power Administration", year = "1964"} @techreport {B54, author = "{Bj{\"o}rck, A.} and {Duff, I. S.}", title = "A Direct Method for the Solution of Sparse Linear Least Squares Problems", type = "{Tech. Report}", institution = "AERE, Harwell Laboratory", note = "(To be published at {Lin. Alg. Appl.})", year = "1979"} @article {B55, author = "{Bunch, J. R.}", title = "Partial Pivoting Strategies for Symmetric Matrices", journal = "SIAM J. Numer. Anal.", volume = "11", pages = "521--528", year = "1974"} @article {B56, author = "{Bunch, J. R.} and {Kaufman, L.} and {Parlett, B. N.}", title = "Decomposition of a Symmetric Matrix", journal = "Numer. Math.", volume = "27", pages = "95--110", year = "1976"} @book {B57, author = "{Busacker, R. G.} and {Saaty, T. L.}", title = "Finite Graphs and Their Networks~: An Introduction with Applications", publisher = "McGraw-Hill", year = "1965"} @book {B58, author = "{Bentley, J. L.}", title = "Writing Efficient Programs", publisher = "Prentice-Hall", year = "1982"} @misc {B59, author = "{Bentley, J. L.}", title = "More {P}rogramming {P}earls", publisher = "Addison-Wesley", year = "1988"} @article {B60, author = "{Barbosa, V. C.} and {Lima, P. M. V.}", title = "On the Distributed Parallel Simulation of {Hopfield's} Neural Networks", journal = "Software Practice and Experience", volume = "20", number = "10", pages = "967--983", year = "1990"} @book {B61, author = "{Borgwardt, K.}", title = "The Simplex Method~: A Probabilistic Analysis", publisher = "Springer-Verlag", year = "1987" } @mastersthesis {B62, author = "{Borges, C. L. T.}", title = "Investiga\c c\~ao do Desempenho de M\'etodos de Solu\c c\~ao do Fluxo de Pot\^encia para Processamento Paralelo e Vetorial", school = "COPPE/UFRJ", year = "1991"} @article {B63, author = "{Bayer, R.} and {McCreight}", title = "Organization and Maintenance of Large Ordered Indexes", journal = "Acta Informatica", volume = "1", pages = "173--189", year = "1972"} @book {B64, author = "{Bard, Y.}", title = "Nonlinear Parameter Estimation", publisher = "Academic Press", year = "1970"} @incollection {B65, author = "{Beale, F.}", title = "Numerical Methods", editor = "{Abadie, J.}", booktitle = "Nonlinear Programming", publisher = "North-Holland", year = "1967"} @article {B66, author = "{Bertsekas, D. P.}", title = "On Penalty and Multiplier Methods for Constrained Optimization", journal = "SIAM J. Control and Optim.", volume = "14", pages = "216--235", year = "1976"} @article {B67, author = "{Bertsekas, D. P.}", title = "On the {Goldstein-Levitin-Polyak} Gradient Projection Method", journal = "IEEE Trans. Automatic Control", volume = "21", pages = "174--184", year = "1976"} @book {B68, author = "{Bertsekas, D. P.}", title = "Constrained Optimization and Lagrange Multiplier Methods", publisher = "Academic Press", year = "1982"} @article {B69, author = "{Bertsekas, D. P.}", title = "Projected {Newton} Methods for Optimization Problems with Simple Constraints", journal = "SIAM J. Control and Optim.", volume = "20", number = "2", pages = "221--246", year = "1982"} @incollection {B70, author = "{Bartholomew-Biggs, M. C.}", title = "Recursive Quadratic Programming Methods for Nonlinear Constraints", editor = "{Powell, M. J. D.}", booktitle = "Nonlinear Optimization 1981", publisher = "Academic Press", year = "1982"} @article {B71, author = "{Bj{\"o}rck, A.}", title = "A Direct Method for Sparse Least Squares Problems with Lower and Upper Bounds", journal = "Numer. Math.", volume = "54", pages = "19--32", year = "1988"} @article {B72, author = "{Brayton, R. K.} and {Cullum, J.}", title = "An Algorithm for Minimizing a Differentiable Function Subject to Box Constraints and Errors", journal = "Journal Optim. Theory Appl.", volume = "29", number = "4", pages = "521--558", year = "1979"} @techreport {B73, author = "{Burke, J.} and {Mor\'e, J.} and {Toraldo, G.}", title = "Convergence Properties of Trust Region Methods for Linear and Convex Constraints", type = "{Tech. Report}", number = "ANL-MCS-TM-116", institution = "Argonne National Laboratory", address = "Argonne, Illinois", year = "1988"} @article {B74, author = "{Burke, J.} and {Mor\'e, J.}", title = "On the Identification of Active Constraints", journal = "SIAM J. Numer. Anal.", volume = "25", pages = "1197--1211", year = "1988"} @techreport {B75, author = "{Byrd, R. H.} and {Schnabel, R. B.} and {Shultz, G. A.}", title = "A Trust Region Algorithm for Nonlinearly Constrained Optimization", type = "{Tech. Report}", number = "CU-CS-313-85", institution = "Dept. of Computer Science, Univ. of Colorado at Boulder", address = "Boulder, Colorado", year = "1985"} @article {B76, author = "{Byrd, R. H.} and {Schnabel, R. B.} and {Shultz, G. A.}", title = "Approximate Solution of the Trust Region Problem by Minimization over Two-Dimensional Subspaces", journal = "Math. Programming", volume = "40", pages = "247--263", year = "1988"} @book {B77, author = "{Beale, E. M. L.}", title = "Nonlinear Programming using a General Mathematical Programming System", series = "Design and Implementation of Optimization Software", publisher = "Stijthoff and Noordhoff", address = "Holland", year = "1978"} @book {B78, author = "{Buzby, B. R.}", title = "Techniques and Experience Solving Really Big Nonlinear Programs", series = "Optimization Methods", publisher = "English Universities Press", year = "1974"} @article {B79, author = "{Bentley, J. L.} and {Weide, B. W.} and {Yao, A. C.}", title = "Optimal Expected-Time Algorithms for Closest Point Problems", journal = "ACM Trans. Math. Software", volume = "6", pages = "563--580", year = "1980"} @misc {B80, author = "{BELL Labs.}", title = "{BELL System Tech. Journal}, 57(6), part 2", note = "({Special Issue} devoted to {UNIX})", year = "1978"} @article {B81, author = "{Boom, H. J.} and {De Jong, E.}", title = "A Critical Comparison of Several Programming Language Implementations", journal = "Software Practice and Experience", volume = "10", number = "6", pages = "435--473", year = "1980"} @article {B82, author = "{Bhat, M. V.} and {Habash, W. G.} and {Liu, J. W. H.} and {Nguyen, V. N.} and {Peeters, M. F.}", title = "A Note on Nested Dissection for Regular Grids", journal = "SIAM J. Matrix Anal. and Appl.", volume = "14", number = "1", pages = "253--258", year = "1993"} @techreport {B83, author = "{Bodlaender, H.} and {Gilbert, J. R.} and {Hafsteinsson, H.} and {Kloks, T.}", title = "Approximating Treewidth, Pathwidth, Frontsize, and Minimum Elimination Tree Height", type = "{Tech. Report}", number = "CSL-90-10", institution = "XEROX Palo Alto Research Center", note = "(To be published at {J. Algorithms})", year = "1990"} @article {B84, author = "{Barwell, V.} and {George, A.}", title = "A Comparison of Algorithms for Solving Symmetric Indefinite Systems of Linear Equations", journal = "ACM Trans. Math. Software", volume = "2", pages = "242--251", year = "1976"} @article {B85, author = "{Bunch, J. R.} and {Kaufman, L.}", title = "Some Stable Methods for Calculating Inertia and Solving Symmetric Indefinite Systems of Linear Equations", journal = "Math. of Computation", volume = "31", pages = "163--179", year = "1977"} @article {B86, author = "{Barret, W. W.} and {Johnson, C. R.} and {Olesky, D. D.} and {van den Driessche, P.}", title = "Inherited Matrix Entries~: {Principal} Submatrices of the Inverse", journal = "SIAM J. Alg. and Discr. Methods", volume = "8", pages = "313--322", year = "1987"} @article {B87, author = "{Berman, P.} and {Schnitger, G.}", title = "On the Performance of the Minimum Degree Ordering for {Gaussian} Elimination", journal = "SIAM J. Matrix Anal. and Appl.", volume = "11", pages = "83--88", year = "1990"} @unpublished {B88, author = "{Bj{\"o}rck, A.}", title = "A note on Scaling in the Augmented System Methods", note = "(Unpublished Manuscript)", year = "1991"} @incollection {B89, author = "{Birkhoff, G.} and {George, A.}", title = "Elimination by Nested Dissection", editor = "{Traub, J. F.}", booktitle = "Complexity of Sequential and Parallel Numerical Algorithms", publisher = "Academic Press", year = "1973"} @article {B90, author = "{Bunch, J. R.} and {Hopcroft, J. E.}", title = "Triangular Factorization and Inversion by Fast Matrix Multiplication", journal = "Math. Comp.", volume = "28", pages = "231--236", year = "1974"} @article {B91, author = "{Berry, R. D.}", title = "An Optimal Ordering of Electronic Circuit Equations for a Sparse Matrix Solution", journal = "IEEE Trans. Circuit Theory", volume = "CT-18", pages = "139--145", year = "1971"} @book {B92, editor = "{Bj{\"o}rck, A.} and {Plemmons, R. J.} and {Schneider, H.}", title = "Large Scale Matrix Problems", publisher = "North-Holland", year = "1981"} @techreport {B93, author = "{Bischof, C. H.} and {Hovland, P.}", title = "Using {ADIFOR} to Compute Dense and Sparse {Jacobians}", type = "{Tech. Memorandum}", number = "ANL-MCS-TM-158", institution = "Mathematics and Computer Science Division, Argonne National Laboratory", note = "({ADIFOR} {Working Note} \# 2)", year = "1991"} @article {B94, author = "{Bj{\o }rstad, P. E.}", title = "A Large Scale, Sparse, Secondary Storage, Direct Linear Equation Solver for Structural Analysis and its Implementation on Vector and Parallel Architectures", journal = "Parallel Computing", volume = "5", pages = "3--12", year = "1987"} @techreport {B95, author = "{Berry, M.}", title = "A {FORTRAN-77} Software Library for the Sparse Singular Value Decomposition", type = "{Tech. Report}", number = "CS-92-159", institution = "Univ. of Tennessee", address = "Knoxville", year = "1992"} @techreport {B96, author = "{Berry, M.}", title = "{SVDPACKC}~: version 1.0 ``{User's Guide}''", type = "{Tech. Report}", number = "CS-93-194", institution = "Univ. of Tennessee", address = "Knoxville", year = "1993"} @inproceedings {B97, author = "{Berry, M.}", title = "A Survey of Public-Domain {Lanczos}-based Software", editor = "{Brown, J. D.} and {Chu, M. T.} and {Ellison, D. C.} and {Plemmons, R. J.}", booktitle = "Proc. of the {Cornelius} {Lanczos} International Centenary Conference, Rayleigh, 1993", pages = "332--334", publisher = "SIAM Publications", year = "1994"} @article {B98, author = "{Bischof, C. H.} and {Lewis, J. G.} and {Pierce, D. J.}", title = "Incremental Condition Estimation for Sparse Matrices", journal = "SIAM J. Matrix Anal. Appl.", volume = "11", pages = "644--659", year = "1990"} @article {B99, author = "{Bischof, C. H.} and {Pan, C. T.} and {Tang, P. T. 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Fall Joint Computer Conference", pages = "48--59", year = "1959"} @book {B108, editor = "{Bucholtz, W.}", title = "Planning a Computer System~: Project {STRETCH}", publisher = "McGraw-Hill", year = "1962"} @phdthesis {B109, author = "{Bunch, J. R.}", title = "On Direct Methods for Solving Symmetric Systems of Linear Equations", school = "Univ. of California", address = "Berkeley", year = "1969"} @article {B110, author = "{Benders, J. F.}", title = "Partitioning Procedures for Solving Mixed-variable Programming Problems", journal = "Numer. Math.", volume = "4", pages = "238--252", year = "1962"} @book {B111, author = "{Bellman, R.} and {Cooke, K. L.} and {Lockett, J. A.}", title = "Algorithms, Graphs and Computers", publisher = "Academic Press", year = "1970"} @article {B112, author = "{Baker, J. M.}", title = "A Note on Multiplying {Boolean} Matrices", journal = "Comm. ACM", volume = "5", pages = "102", year = "1962"} @phdthesis {B113, author = "{Bree, D. Jr.}", title = "Some Remarks on the Application of Graph Theory to the Solution of Sparse Systems of Linear Equations", school = "Mathematics Dept., Princeton Univ.", address = "New Jersey", year = "1965"} @article {B114, author = "{Broyden, C. G.}", title = "A New Method of Solving Nonlinear Simultaneous Equations", journal = "Computing J.", volume = "12", pages = "94--99", year = "1969"} @article {B115, author = "{Bank, R. E.} and {Rose, D. J.}", title = "An ${O}(n^2)$ Method for Solving Constant Coefficient Boundary Value Problems in Two Dimensions", journal = "SIAM J. Numer. Anal.", volume = "", year = ""} @article {B116, author = "{Bank, R. E.} and {Rose, D. J.}", title = "Marching Algorithms for Elliptic Boundary Value Problems -- {I}~: {The} Constant Coefficient Case", journal = "SIAM J. Numer. Anal.", volume = "", year = ""} @incollection {B117, author = "{Bank, R. E.}", title = "Marching Algorithms and Block {Gaussian} Elimination", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", publisher = "Academic Press", year = "1976"} @article {B118, author = "{Bunch, J. R.} and {Rose, D. J.}", title = "Partitioning, Tearing and Modification of Sparse Linear Systems", journal = "J. Math. Anal. Appl.", volume = "48", pages = "574--593", year = "1974"} @incollection {B119, author = "{Bunch, J. R.}", title = "Block Methods for Solving Sparse Linear Systems", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", publisher = "Academic Press", year = "1976"} @phdthesis {B120, author = "{Bank, R. E.}", title = "Marching Algorithms for Elliptic Boundary Value Problems", school = "Harvard Univ.", year = "1975"} @article {B121, author = "{Businger, P. A.} and {Golub, G. H.}", title = "Linear Least-Squares Solutions by Householder Transformations", journal = "Numer. Math.", volume = "7", pages = "269--276", year = "1965"} @article {B122, author = "{Brooks, D. F.} and {Brotton, D. M.}", title = "Computer System for Analysis of Large Frameworks", journal = "Journal ASCE, Structural Division", volume = "94", pages = "1--23", year = "1968"} @article {B123, author = "{Bartels, R. H.} and {Golub, G. H.}", title = "The Simplex Method of Linear Programming using {LU} Decomposition", journal = "Comm. ACM", volume = "12", pages = "266--268", year = "1969"} @article {B124, author = "{Bartels, R. H.}", title = "A Stabilization of the Simplex Method", journal = "Numer. Math.", volume = "16", pages = "414--434", year = "1971"} @book {B125, editor = "{Baskow. T. R.}", title = "Engineering Applications of Digital Computers", publisher = "Academic Press", year = "1968"} @article {B126, author = "{Brown, D. C.}", title = "A Unified Lunar Control Network", journal = "Photogrammetric Engineering", volume = "34", pages = "1272--1292", year = "1968"} @article {B127, author = "{Bennet, J. M.}", title = "Triangular Factors of Modified Matrices", journal = "Numer. Math.", volume = "7", pages = "216--221", year = "1965"} @incollection {B128, author = "{Birkhoff, G.} and {Varga, R. S.} and {Young, D. M.}", title = "Alternating Direction Implicit Method", booktitle = "Advances in Computers, volume {3}", pages = "189--273", publisher = "Academic Press", year = "1962"} @article {B129, author = "{Birkhoff, G.} and {Varga, R. S.}", title = "Implicit Alternating Direction Methods", journal = "Trans. Amer. Math. Soc.", volume = "92", pages = "13--24", year = "1959"} @incollection {B130, author = "{Birkhoff, G.} and {Young, D. M.} and {Zarantonello, E. H.}", title = "Numerical Methods in Conformal Mapping", editor = "{Abadie, J.}", booktitle = "Proc. of the Symposium Applied Mathematics, volume {4}", pages = "117--140", publisher = "McGraw-Hill", year = "1953"} @article {B131, author = "{Bickley, W. G.} and {McNamee, J.}", title = "Matrix and Other Direct Methods for the Solution of Systems of Linear Difference Equations", journal = "Philos. Trans. Royal Soc. London, series A", volume = "252", pages = "69--131", year = "1960"} @article {B132, author = "{Bauer, F. L.}", title = "Optimally Scaled Matrices", journal = "Numer. Math.", volume = "5", pages = "73--87", year = "1963"} @article {B133, author = "{Bauer, F. L.}", title = "Remarks on Optimally Scaled Matrices", journal = "Numer. Math.", volume = "13", pages = "1--3", year = "1969"} @article {B134, author = "{Businger, P. A.}", title = "Matrices which can be Optimally Scaled", journal = "Numer. Math.", volume = "12", pages = "346--348", year = "1968"} @article {B135, author = "{Belady, L. A.}", title = "A Study of Replacement Algorithms for a Virtual-Storage Computer", journal = "IBM Systems Journal", volume = "5", pages = "78--101", year = "1966"} @article {B136, author = "{Barron, D. W.} and {Swinnerton-Dyer, H. P. F.}", title = "Solution of Simultaneous Linear Equations using a Magnetic Tape Store", journal = "Computing J.", volume = "3", pages = "28--33", year = "1960"} @article {B137, author = "{Branin, F. H. Jr.} and {Hall, L. V.} and {Suez, J.} and {Carlitz, R. M.} and {Chen, T. C.}", title = "An Interpretative Program for Matrix Arithmetic", journal = "IBM Systems Journal", volume = "4", pages = "2--24", year = "1965"} @article {B138, author = "{Barnes, G. H.} and {Brown, R. M.} and {Kato, M.} and {Kuck. D. J.} and {Slonick, D. L.} and {Stokes, R. A.}", title = "The {ILLIAC IV} Computer", journal = "IEEE Trans. Comput.", volume = "C-17", pages = "746--757", year = "1968"} @book {B139, editor = "{Barron, D. W.}", title = "Recursive Techniques in Programming", publisher = "American Elsevier", year = "1968"} @article {B140, author = "{Brooks, F. P. 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S.}", title = "An Operating Environment for Dynamic-Recursive Computer Programming Systems", journal = "Comm. ACM", volume = "8", number = "6", pages = "371--377", year = "1965"} @article {B145, author = "{Bellmore, M.} and {Nemhauser, G. L.}", title = "The Traveling Salesman Problem~: {A} Survey", journal = "Operations Res.", volume = "16", pages = "538--558", year = "1968"} @article {B146, author = "{Bellman, R.}", title = "Dynamic Programming Treatment of the Traveling Salesman Problem", journal = "J. ACM", volume = "9", year = "1962"} @article {B147, author = "{Boothroyd, J.}", title = "Algorithm 302~: {Transpose} Vector Stored Array", journal = "Comm. ACM", volume = "10", number = "5", pages = "292--293", year = "1967"} @book {B148, author = "{Brameller, A.} and {Allan, R. N.} and {Haman, Y. M.}", title = "Sparsity", publisher = "Pittman Press", address = "New York", year = "1976"} @book {B149, author = "{Buckingham, R. A.}", title = "Numerical Methods", publisher = "Pittman Press", address = "London", year = "1957"} @book {B150, author = "{Booth, A. D.}", title = "Numerical Methods", publisher = "Butterworths", address = "London", year = "1955"} @book {B151, author = "{Bodewig, E.}", title = "Matrix Calculus", edition = "$2^{nd}$", publisher = "", address = "Amsterdam", year = "1959"} @techreport {B152, author = "{Bank, R. E.}", title = "{FORTRAN} Implementation of Marching Algorithms", type = "{Tech. Report}", number = "TR-17-75", institution = "Center for Research in Computing Technology, Harvard Univ.", address = "Cambridge", year = "1975"} @book {B153, editor = "{Birkhoff, G.} and {Varga, R. S.}", title = "Numerical Solution of Field Problems in Continuum Physics", publisher = "American Math. Soc.", address = "Providence", year = "1970"} @article {B154, author = "{Baty, J. P.} and {Stewart, K. L.}", title = "Dissection of Structures", journal = "J. Struct. Div. ASCE", volume = "5", pages = "217--232", year = "1967"} @incollection {B155, author = "{Baty, J. P.} and {Stewart, K. L.}", title = "Organization of Network Equations using Dissection Theory", editor = "{Reid, J. K.}", booktitle = "Large Sparse Sets of Linear Equations", pages = "169--190", publisher = "Academic Press", year = "1971"} @article {B156, author = "{Belady, L. A.} and {Kuehner, C. J.}", title = "Dynamic Space-Sharing Computer Systems", journal = "Comm. ACM", volume = "12", pages = "282--285", year = "1969"} @incollection {B157, author = "{de Buchet, J.}", title = "How to Take into Account the Low Density of Matrices to Design a Mathematical Programming Package~: {Relevant} Effects on Optimization and Inversion Algorithms", editor = "{Reid, J. K.}", booktitle = "Large Sparse Sets of Linear Equations", pages = "211--217", publisher = "Academic Press", year = "1971"} @article {B158, author = "{Busing, W. R.} and {Levy, H. A.}", title = "A Procedure for Inverting Large Symmetric Matrices", journal = "Comm. ACM", volume = "8", pages = "445--446", year = "1962"} @article {B159, author = "{Brawn, B. S.} and {Gustavson, F. G.} and {Mankin, E. S.}", title = "Sorting in a Paging Environment", journal = "Comm. ACM", volume = "13", pages = "483--494", year = "1970"} @article {B160, author = "{Brandon, D. M. Jr.}", title = "The Implementation and Use of Sparse Matrix Techniques in General Simulation Programs", journal = "Computing J.", volume = "17", pages = "165--170", year = "1974"} @techreport {B161, author = "{Byrnes, F. D.}", title = "A Program for the Direct Solution of Matrix Equations", type = "{Tech. Report}", institution = "Bonneville Power Administration", address = "Portland", year = "1967"} @incollection {B162, author = "{Bj{\"o}rck, A.}", title = "Methods for Sparse Least Squares Problems", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", publisher = "Academic Press", year = "1976"} @article {B163, author = "{Bj{\"o}rck, A.}", title = "Solving Linear Least Squares Problems by {Gram-Schmidt} Orthogonalization", journal = "BIT", volume = "7", pages = "1--21", year = "1967"} @proceedings {B164, editor = "{Berge, C.}", title = "The Theory of Graphs, International Symposium", address = "Rome", publisher = "Dunod", year = "1967"} @manual {B165, author = "{Brandon, D. M. Jr.}", title = "{IMP} -- ``{General Manual}'', {A} General Simulator for Multivariate Differential or Algebraic Systems", organization = "Chemical Engineering Dept., Univ. of Connecticut", address = "Storrs", year = "1972"} @inproceedings {B166, author = "{Bakoglu, H. B.} and {Grohoski, G. F.} and {Thatcher, L. E.} and {Kahle, J. A.} and {Moore, C. R.} and {Tuttle, D. P.} and {Maule, W. E.} and {Hardell, W. R.} and {Hicks, D. A.} and {Nguyen phu, M.} and {Montoye, R. K.} and {Glover, W. T.} and {Dhawan, S.}", title = "IBM Second-Generation {RISC} Machine Organization", booktitle = "Proc. International Conference on Computer Design", pages = "138--142", organization = "IEEE", year = "1989"} @book {B167, editor = "{Bell, C. G.} and {Newell, A.}", title = "Computer Structures~: {Readings} and Examples", publisher = "McGraw-Hill", year = "1971"} @inproceedings {B168, author = "{Bell, C. G.} and {Cady, R.} and {McFarland, H.} and {DeLagi, B.} and {O'Laughlin, J.} and {Noonan, R.} and {Wulf, W.}", title = "A New Architecture for Mini-Computers~: {The} {DEC PDP-11}", booktitle = "Proc. {AFIPS} {SJCC}", pages = "657--675", year = "1970"} @article {B169, author = "{Bayer, D. A.} and {Lagarias, J. C.}", title = "The Nonlinear Geometry of Linear Programming -- {I}~: Affine and Projective Scaling Trajectories", journal = "Trans. of the American Math. 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Report}", number = "CPRC-TR-94-491", institution = "Center for Research on Parallel Computation, Rice Univ.", address = "Houston, Texas", year = "1994"} @article {B174, author = "{Bisseling, R.} and {Doup, T.} and {Loyens, L.}", title = "A Parallel Interior Point Algorithm for Linear Programming on a Network of Transputers", journal = "Annals of Oper. Res.", volume = "43", pages = "51--86", year = "1993"} @article {B175, author = "{Bodlaender, H. L.}", title = "Polynomial Algorithms for Graph Isomorphism and Chromatic Index on Partial K-Trees", journal = "J. of Algorithms", volume = "11", pages = "631--644", year = "1990"} @article {B176, author = "{Bodlaender, H. L.} and {M{\"o}hring, R. H.}", title = "The Pathwidth and Treewidth of Cographs", journal = "SIAM J. Alg. and Discr. Meth.", volume = "6", pages = "181--188", year = "1993"} @inproceedings {B177, author = "{Bodlaender, H. L.}", title = "A Linear Time Algorithm for Finding Tree-Decompositions of Small Treewidth", booktitle = "Proc. $25^{th}$ Annual Symposium on Theory of Computing", pages = "226--234", publisher = "ACM Press", year = "1993"} @techreport {B178, author = "{Berger, A.} and {Mulvey, J.} and {Rothberg, E.} and {Vanderbei, R.}", title = "Solving Multistage Stochastic Programs Using Tree Dissection", type = "{Tech. Report}", number = "SOR-97-07", institution = "Program in Statistics and Operations Research, Princeton Univ.", address = "New Jersey", year = "1995"} @misc {B179, author = "{Brualdi, R. A.} and {Shader, B. L.}", title = "Strong {Hall} Matrices", howpublished = "IMA Preprint Series 909, Institute for Mathematics and Its Applications, Univ. of Minnesota", year = "1991"} @book {B180, author = "{Brualdi, R. A.} and {Ryser, H. J.}", title = "Combinatorial Matrix Theory", publisher = "Cambridge Univ. Press", year = "1991"} @phdthesis {B181, author = "{Briggs, P.}", title = "Register Allocation via Graph Coloring", school = "Dept. of Computer Science, Rice Univ.", year = "1992"} % (C) ........................................................................ @techreport {C1, author = "{de Carvalho, M. L. B.}", title = "On the Minimization of Work Needed to Factor a Symmetric Positive Definite Matrix", type = "{Manuscript}", number = "ORC 87-14", institution = "Dept. of Industrial Eng. and Oper. Research, Univ. of California", address = "Berkeley", year = "1987"} @techreport {C2, author = "{Chu, E. C. H.} and {George, A.}", title = "Sparse Matrix Methods Research using the {CSM} Testbed Software System", type = "{Contractor Report}", number = "CR-4219", institution = "NASA", year = "1989"} @article {C3, author = "{Crane, H.} and {Gibbs, N. E.} and {Poole, W. G. Jr.} and {Stockmeyer, P. K.}", title = "Algorithm 508~: {Matrix} Bandwidth and Profile Reduction", journal = "ACM Trans. Math. Software", volume = "2", pages = "375--377", year = "1976"} @inproceedings {C4, author = "{Cuthill, E. H.} and {McKee, J.}", title = "Reducing the Bandwidth of Sparse Symmetric Matrices", booktitle = "Proc. $24^{th}$ National Conference of the {ACM}", pages = "157--172", publisher = "ACM Press", year = "1969"} @article {C5, author = "{Du Croz, J. J.} and {Nugent, S. M.} and {Reid, J. K.} and {Taylor, D. B.}", title = "Solving Large Full Sets of Linear Equations in a Paged Virtual Store", journal = "ACM Trans. Math. Software", volume = "7", number = "4", pages = "527--536", year = "1981"} @article {C6, author = "{Carnevali, P.} and others", title = "Efficient {FORTRAN} Implementation of the {Gaussian} Elimination and {Householder} Reduction Algorithms on the {IBMÿ3090} Vector Multiprocessor", journal = "Mathematical Modelling and Numerical Analysis", volume = "23", number = "1", pages = "63--86", year = "1989"} @book {C7, author = "{Coleman, T. F.}", title = "Large Sparse Numerical Optimization", series = "Lecture Notes in Computer Science", volume = "165", publisher = "Springer-Verlag", year = "1984"} @book {C8, author = "{Coleman, T. F.} and {Van Loan, C.}", title = "Handbook for Matrix Computations", publisher = "SIAM Publications", year = "1988"} @book {C9, editor = "{Coleman, T. F.} and {Li, Y.}", title = "Large Scale Numerical Optimization", publisher = "SIAM Publications", year = "1990"} @article {C10, author = "{Coleman, T. F.} and {Garbow, B.} and {Mor\'e, J. J.}", title = "Software for Estimating Sparse {Jacobian} Matrices", journal = "ACM Trans. Math. Software", volume = "10", pages = "329--347", year = "1984"} @article {C11, author = "{Coleman, T. F.} and {Garbow, B.} and {Mor\'e, J. J.}", title = "Software for Estimating Sparse {Hessian} Matrices", journal = "ACM Trans. Math. Software", volume = "11", pages = "363--378", year = "1985"} @article {C12, author = "{Coleman, T. F.} and {Mor\'e, J. J.}", title = "Estimation of Sparse {Jacobian} Matrices and Graph Coloring Problems", journal = "SIAM J. Numer. Anal.", volume = "20", pages = "187--209", year = "1983"} @article {C13, author = "{Coleman, T. F.} and {Mor\'e, J. J.}", title = "Estimation of Sparse {Hessian} Matrices and Graph Coloring Problems", journal = "SIAM J. Numer. Anal.", volume = "28", pages = "243--270", year = "1984"} @article {C14, author = "{Cate, E. G.} and {Twigg, D. W.}", title = "Algorithm 513~: {Analysis} of In-Situ Transposition", journal = "ACM Trans. Math. Software", volume = "3", number = "1", pages = "104--110", year = "1977"} @inbook {C15, editor = "{Conn, A. R.} and {Gould, N.} and {Toint, Ph. L.}", title = "Large Scale Optimization", note = "({Special Issue})", series = "Math. Programming, Series~B", volume = "45", pages = "373--568", publisher = "North Holland", year = "1989"} @book {C16, author = "{Carnahan, B.} and {Luther, H. A.} and {Wilkes, J. O.}", title = "Applied Numerical Methods", publisher = "John Wiley \& Sons", year = "1969"} @book {C17, author = "{Cormen, T. H.} and {Leiserson, C. E.} and {Rivest, R. L.}", title = "Introduction to Algorithms", publisher = "McGraw-Hill", year = "1990"} @inproceedings {C18, author = "{Coppersmith, D.} and {Winograd, S.}", title = "Matrix Multiplication via Arithmetic Progression", booktitle = "Proc. $19^{th}$ Annual {ACM} Symposium of Theory of Computing", pages = "1--6", year = "1987"} @article {C19, author = "{Chang, S. F.} and {McCormick, S. T.}", title = "Implementation and Computational Results for the Hierarchical Algorithm for Making Sparse Matrices Sparser", journal = "ACM Trans. Math. Software", volume = "19", number = "3", pages = "419--441", year = "1993"} @phdthesis {C20, author = "{Chang, S. F.}", title = "Increasing Sparsity in Matrices for Large Scale Optimization~: {Theoretical} Properties and Implementational Aspects", school = "Columbia Univ.", year = "1989"} @article {C21, author = "{Chang, S. F.} and {McCormick, S. T.}", title = "A Hierarchical Algorithm for Making Sparse Matrices Sparser", journal = "Math. Programming", volume = "56", pages = "1--30", year = "1992"} @article {C22, author = "{Cabay, S.} and {Lam, T. P. L.}", title = "Congruence Techniques for the Exact Solution of Integer Systems of Linear Equations", journal = "ACM Trans. Math. Software", volume = "3", number = "4", pages = "386--397", year = "1977"} @article {C23, author = "{Cabay, S.} and {Lam, T. P. L.}", title = "{ESOLVE}~: {Congruence} Techniques for the Exact Solution of Integer Systems of Linear Equations", journal = "ACM Trans. Math. Software", volume = "3", number = "4", pages = "404--410", year = "1977"} @inproceedings {C24, author = "{Calahan, D. A.}", title = "Parallel Solution of Sparse Simultaneous Linear Equation", booktitle = "Proc. $11^{th}$ Annual Allerton Conference on Circuits and System Theory", pages = "729--738", year = "1973"} @techreport {C25, author = "{Chu, E. C. H.} and {George, A.} and {Ng, E.}", title = "``{User's Guide}'' for {SPARSPAK-A}~: {Waterloo} Sparse Linear Equations Package", type = "{Tech. Report}", number = "CS-84-36", institution = "Univ. Waterloo", address = "Canada", year = "1984"} @book {C26, author = "{Carnahan, B.} and {Wilkes, J. O.}", title = "Digital Computing and Numerical Methods with {FORTRAN} {IV}, {WATFOR}, and {WATFIV} Programming", publisher = "John Wiley \& Sons", year = "1973"} @book {C27, author = "{Chv\'atal, V.}", title = "Linear Programming", publisher = "Freeman \& Co.", year = "1983"} @book {C28, author = "{Cody, W. J. Jr.} and {Waite, W.}", title = "Software Manual for the Elementary Functions", publisher = "Prentice-Hall", year = "1980"} @book {C29, author = "{Conte, S. D.} and {de Boor, C.}", title = "Elementary Numerical Analysis~: An Algorithmic Approach", edition = "$3^{rd}$", publisher = "McGraw-Hill", year = "1980"} @manual {C30, title = "Programa\c c\~ao {FORTRAN} para Aplica\c c\~oes T\'ecnicas e Cient\'\i ficas", organization = "Companhia Telef\^onica Brasileira, Departamento Geral de Desenvolvimento de Transmiss\~ao", note = "({Ref. TED-32-01-0005})", year = "1975"} @article {C31, author = "{Choi, I. C.} and {Monma, C. L.} and {Shanno, D. F.}", title = "Further Development of a Primal-Dual Interior Point Method", journal = "ORSA J. Computing", volume = "2", pages = "304--311", year = "1990"} @manual {C32, organization = "{CPLEX} Optimization, Inc.", title = "Using the {CPLEX} Callable Library and {CPLEX} Mixed Integer Library", address = "Incline Village, Nevada", year = "1993"} @article {C33, author = "{Cheng, Y. C.} and {Houck, D. J. Jr.} and {Liu, J. M.} and {Meketon, M. S.} and {Slutsman, L.} and {Vanderbei, R. J.} and {Wang, P.}", title = "{AT\&T} {KORBX} System", journal = "AT\&T Technical Journal", volume = "68", number = "3", pages = "7--19", year = "1989"} @techreport {C34, author = "{Cottle, R. W.}", title = "Major {Cholesky}", type = "{Manuscript}", institution = "Dept. of Oper. Res., Stanford Univ.", year = "1975"} @inproceedings {C35, author = "{Carpentier, J.}", title = "Ordered Elimination", booktitle = "Power System Computation Conference", address = "London", year = "1963"} @article {C36, author = "{Curtis, A. R.} and {Powell, M. J. D.} and {Reid, J. K.}", title = "On the Estimation of Sparse {Jacobian} Matrices", journal = "J. Inst. Math. Appl.", volume = "13", pages = "117--119", year = "1974"} @inproceedings {C37, author = "{Clark, D. W.}", title = "Pipelining and Performance in the {VAX} 8800 Processor", booktitle = "Proc. $2^{nd}$ {IEEE/ACM} Conference on Architectural Support for Programming Languages and Operating Systems", pages = "173--177", address = "Palo Alto", year = "1987"} @techreport {C38, author = "{Campagnolo, J. M.} and {Martins, N.} and {Falc\~ao, D. M.}", title = "Refactored Bi-Iteration~: {A} High Performance Eigensolution Method for Large Power System Matrices", type = "", institution = "Centro de Pesquisas em Energia El\'etrica (CEPEL)", address = "Rio de Janeiro", note = "(Submitted to 1995 {IEEE} {Summer Power Meeting})", year = "1995"} @techreport {C39, author = "{Campagnolo, J. M.} and {Martins, N.} and {Falc\~ao, D. 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T.} and {J\'unior, W. M.}", title = "Uso da Heterogeneidade para Acelera\c c\~ao de Ray Tracing", booktitle = "Anais do V Simp\'osio Brasileiro de Arquitetura de Computadores e Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de Computa\c c\~ao", pages = "174--188", year = "1993"} @inproceedings {C43, author = "{de Carvalho, M. L. B.} and {Carceroni, R. L.} and {J\'unior, W. M.}", title = "Uma Experi\^encia de Implementa\c c\~ao de M\'etodos de Ordena\c c\~ao Paralelos em M\'aquina {SIMD}", booktitle = "Anais do V Simp\'osio Brasileiro de Arquitetura de Computadores e Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de Computa\c c\~ao", pages = "189--201", year = "1993"} @inproceedings {C44, author = "{de Carvalho, M. L. B.} and {J\'unior, W. M.}", title = "Simula\c c\~ao de Redes Neuronais em Ambientes Heterog\^eneos e Paralelos", booktitle = "Anais do V Simp\'osio Brasileiro de Arquitetura de Computadores e Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de Computa\c c\~ao", pages = "217--231", year = "1993"} @inproceedings {C45, author = "{C\'aceres, E. N.} and {Szwarficter, J. L.}", title = "Cliques Maximais em Grafos C\'\i rculo", booktitle = "Anais do V Simp\'osio Brasileiro de Arquitetura de Computadores e Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de Computa\c c\~ao", pages = "398--411", year = "1993"} @inproceedings {C46, author = "{Cabral, R. G.} and {Kaskurewicz, E.}", title = "Uma Implementa\c c\~ao do M\'etodo dos Gradientes Conjugados em Multiprocessadores com Arquitetura Hiperc\'ubica", booktitle = "Anais do V Simp\'osio Brasileiro de Arquitetura de Computadores e Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de Computa\c c\~ao", pages = "412--425", year = "1993"} @inproceedings {C47, author = "{Campagnolo, J. M.} and {Martins, N.} and {Pereira, J. L. R.} and {Falc\~ao, D. M.}", title = "Algoritmo Paralelo para o C\'alculo de Autovalores Associado a Avalia\c c\~ao da Estabilidade a Pequenas Perturba\c c\~oes", booktitle = "Anais do V Simp\'osio Brasileiro de Arquitetura de Computadores e Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de Computa\c c\~ao", pages = "562--576", year = "1993"} @mastersthesis {C48, author = "{C\'aceres, E. N.}", title = "Algoritmos Paralelos para Problemas em Grafos", school = "COPPE/UFRJ", year = "1992"} @mastersthesis {C49, author = "{Cabral, R. G.}", title = "Avalia\c c\~ao do Desempenho do M\'etodo dos Gradientes Conjugados em Multiprocessadores com Arquitetura Hiperc\'ubica", school = "COPPE/UFRJ", year = "1991"} @article {C50, author = "{Chan, T. F.} and {Saad, Y.}", title = "Multigrid Algorithms on the Hypercube Multiprocessor", journal = "IEEE Trans. Comput.", volume = "C-35", number = "11", year = "1986"} @article {C51, author = "{Comer, D.}", title = "The Ubiquitous {B-Tree}", journal = "ACM Computing Surveys", volume = "11", number = "2", pages = "121--137", year = "1979"} @article {C52, author = "{Calamai, P.} and {Mor\'e, J.}", title = "Projected Gradient Methods for Linearly Constrained Problems", journal = "Math. Programming", volume = "39", pages = "93--116", year = "1987"} @incollection {C53, author = "{Celis, M. R.} and {Dennis, J. E. Jr.} and {Tapia, R. A.}", title = "A Trust Region Strategy for Nonlinear Equality Constrained Optimization", editor = "{Boggs, P.} and {Byrd, R.} and {Schnabel R.}", booktitle = "Numerical Optimization 1984", pages = "71--82", publisher = "SIAM Publications", year = "1985"} @techreport {C54, author = "{Celis, M. R.} and {Dennis, J. E. Jr.} and {Tapia, R. A.}", title = "An Algorithm Based on a Convenient Trust Region Subproblem for Nonlinear Programming", type = "{Tech. Report}", institution = "Dept. of Mathematical Sciences, Rice Univ.", address = "Houston, Texas", year = "1988"} @article {C55, author = "{Coleman, T. F.} and {Conn, A.}", title = "On the Local Convergence of Quasi-{Newton} Methods for the Nonlinear Programming Problem", journal = "SIAM J. Numer. Anal.", volume = "21", pages = "755--769", year = "1984"} @techreport {C56, author = "{Coleman, T. F.} and {Hulbert, L.}", title = "A Direct Active Set Algorithm for Large Sparse Quadratic Programs with Simple Bounds", type = "{Tech. Report}", number = "88-926", institution = "Cornell Univ.", address = "Ithaca, NY", year = "1988"} @techreport {C57, author = "{Conn, A. R.} and {Gould, N.} and {Toint, Ph. L.}", title = "Testing a Class of Methods for Solving Minimization Problems with Simple Bounds on the Variables", type = "{Tech. Report}", number = "86-3", institution = "Dept. of Mathematics, FUNDP", address = "Namur", year = "1986"} @techreport {C58, author = "{Conn, A. R.} and {Gould, N.} and {Toint, Ph. L.}", title = "Global Convergence of a Class of Trust Region Algorithms for Optimization Problems with Simple Bounds", type = "{Tech. Report}", institution = "Dept. of Computer Sciences, Univ. of Waterloo", address = "Canada", year = "1988"} @book {C59, author = "{Conn, A. R.}", title = "Penalty Function Methods", series = "Nonlinear Optimization 1981", publisher = "Academic Press", year = "1982"} @article {C60, author = "{Coleman, T. F.} and {Edenbrandt, A.} and {Gilbert, J. R.}", title = "Predicting Fill for Sparse Orthogonal Factorization", journal = "J. ACM", volume = "33", pages = "517--532", year = "1986"} @book {C61, author = "{Carr\'e, B. A.}", title = "Graphs and Networks", publisher = "Clarendon Press", year = "1979"} @article {C62, author = "{Cheriton, D.} and {Tarjan, R. E.}", title = "Finding Minimum Spanning Trees", journal = "SIAM J. Comput.", volume = "5", pages = "724--742", year = "1976"} @book {C63, author = "{Christofides, N.}", title = "Graph Theory~: An Algorithmic Approach", publisher = "Academic Press", year = "1975"} @inproceedings {C64, author = "{Cook, S. A.}", title = "The Complexity of Theorem-Proving Procedures", booktitle = "Proc. $3^{rd}$ {ACM} Symposium on Theory of Computing", pages = "151--158", year = "1971"} @book {C65, author = "{Cvetkovic, D.} and {Doob, M.} and {Sachs, H.}", title = "Spectra of Graphs", publisher = "Academic Press", year = "1980"} @article {C66, author = "{Coleman, T. F.} and {Pothen, A.}", title = "The Null Space Problem -- {I}~: {Complexity}", journal = "SIAM J. Alg. and Discr. Methods", volume = "7", pages = "527--537", year = "1986"} @article {C67, author = "{Coleman, T. F.} and {Pothen, A.}", title = "The Null Space Problem -- {II}~: {Algorithms}", journal = "SIAM J. Alg. and Discr. Methods", volume = "8", pages = "544--563", year = "1987"} @mastersthesis {C68, author = "{Cavers, I.}", title = "Tiebreaking the Minimum Degree Algorithm for Ordering Sparse Symmetric Positive Definite Matrices", school = "Dept. of Computer Science, Univ. of British Columbia", address = "Vancouver", year = "1987"} @article {C69, author = "{Chu, E. C. H.} and {George, A.}", title = "Sparse Orthogonal Decomposition on a Hypercube Multiprocessor", journal = "SIAM J. Matrix Anal. and Appl.", volume = "11", pages = "453--465", year = "1990"} @article {C70, author = "{Chan, W. M.} and {George, A.}", title = "A Linear Time Implementation of the Reverse {Cuthill-McKee} Algorithm", journal = "BIT", volume = "20", pages = "8--14", year = "1980"} @incollection {C71, author = "{Cuthill, E. H.}", title = "Several Strategies for Reducing the Bandwidth of Matrices", editor = "{Rose, D. J.} and {Willoughby, R. A.}", booktitle = "Sparse Matrices and Their Applications", pages = "157--166", publisher = "Plenum Press", address = "New York", year = "1972"} @incollection {C72, author = "{Calahan, D. A.} and {Dongarra, J. J.} and {Levine, D.}", title = "Vectorizing Compilers~: {A} Test Suite and Results", booktitle = "Supercomputer '88", pages = "98--105", publisher = "IEEE Press", year = "1988"} @article {C73, author = "{Chen, S.} and {Kuck, D.} and {Sameh, A.}", title = "Practical Parallel Band Triangular Systems Solvers", journal = "ACM Trans. Math. Software", volume = "4", pages = "270--277", year = "1978"} @article {C74, author = "{Cowell, W.} and {Thompson, C.}", title = "Transforming {FORTRAN} {DO} Loops to Improve Performance on Vector Architectures", journal = "ACM Trans. Math. Software", volume = "12", pages = "324--353", year = "1986"} @inproceedings {C75, author = "{Calahan, D. A.}", title = "A Block-Oriented Sparse Equation Solver for the {CRAY-1}", booktitle = "Proc. 1979 International Conference on Parallel Processing", pages = "116--123", year = "1979"} @inproceedings {C76, author = "{Calahan, D. A.}", title = "Vectorized Sparse Elimination", booktitle = "Proc. of Scientific Computer Information Exchange Meeting", address = "Livermore", year = "1979"} @inproceedings {C77, author = "{Calahan, D. A.}", title = "Multi-level Vectorized Sparse Solution of {LSI} Circuits", booktitle = "Proc. {IEEE} Conference on Circuits and Computers", address = "Rye, New York", pages = "976--979", year = "1980"} @article {C78, author = "{Calahan, D. A.}", title = "Direct Solution of Linear Equations on the {CRAY-1}", journal = "CRAY Channels", volume = "3", pages = "1--5", year = "1981"} @article {C79, author = "{Calahan, D. A.}", title = "Performance of Linear Algebra Codes on the {CRAY-1}", journal = "SPE Journal", pages = "558--564", year = "1981"} @techreport {C80, author = "{Calahan, D. A.}", title = "High Performance Banded and Profile Equation-Solvers for the {CRAY-1}~: {The} Unsymmetric Case", type = "{Tech. Report}", number = "160", institution = "Systems Eng. Laboratory, Univ. of Michigan", year = "1982"} @inproceedings {C81, author = "{Calahan, D. 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P.}", title = "On the Optimal Choice of Pivots for the {Gaussian} Elimination", journal = "Computing", volume = "9", year = "1972"} @article {C92, author = "{Chen, W. K.}", title = "On Directed Graph Solution of Linear Algebraic Equations", journal = "SIAM Review", volume = "9", pages = "692--707", year = "1967"} @techreport {C93, author = "{Curtis, A. R.} and {Reid, J. K.}", title = "{FORTRAN} Subroutines for the Solution of Sparse Sets of Linear Equations", type = "{Tech. Report}", number = "R-6844", institution = "Atomic Energy Res. Establishment, Harwell", year = "1971"} @inproceedings {C94, author = "{Curtis, A. R.} and {Reid, J. K.}", title = "The Solution of Large Sparse Systems of Linear Equations", booktitle = "Proc. of {IFIP}", organization = "Atomic Energy Res. Establishment, Harwell", note = "({Tech. Report TP-450})", year = "1971"} @article {C95, author = "{Curtis, A. R.} and {Reid, J. K.}", title = "The Solution of Large Sparse Unsymmetric Systems of Linear Equations", journal = "J. Inst. Math. Appl.", volume = "8", pages = "344--353", year = "1971"} @book {C96, author = "{Calahan, D. A.}", title = "Computer Aided Network Design", publisher = "McGraw-Hill", year = "1968"} @article {C97, author = "{Cocke, J.}", title = "Global Common Subexpression Elimination", journal = "SIGPLAN Notices", volume = "5", pages = "20--24", year = "1970"} @inproceedings {C98, author = "{Calahan, D. A.}", title = "Switching Circuit Optimization", booktitle = "Proc. Cornell Conference on Computerized Electronics", organization = "Cornell Univ.", pages = "282--292", address = "Ithaca", year = "1969"} @article {C99, author = "{Chen, T. C.}", title = "Parallelism, Pipelining and Computer Efficiency", journal = "Computer Design", volume = "", pages = "69--74", year = "1971"} @article {C100, author = "{Cooley, J. W.} and {Tukey, J. W.}", title = "An Algorithm for Machine Calculation of Complex {Fourier} Series", journal = "Math. of Computation", volume = "19", pages = "297--301", year = "1965"} @book {C101, author = "{Courant, R.}", title = "Methods of Mathematical Physics, volume {1}", publisher = "Interscience", year = "1953"} @book {C102, author = "{Courant, R.} and {Hilbert, D.}", title = "Methods of Mathematical Physics, volume {2}", publisher = "Interscience", year = "1962"} @article {C103, author = "{Cuthill, E. H.} and {Varga, R. S.}", title = "A Method of Normalized Block Iteration", journal = "J. ACM", volume = "6", pages = "236--244", year = "1959"} @article {C104, author = "{Conte, S. D.} and {Dames, R. T.}", title = "An Alternating Direction Method for Solving the Biharmonic Equation", journal = "Math. of Computation", volume = "12", pages = "198--205", year = "1958"} @article {C105, author = "{Crank, J.} and {Nicholson, P.}", title = "A Practical Method for Numerical Evaluation of Solutions of Partial Differential Equations of the Heat Conduction Type", journal = "Proc. Cambridge Philos. Soc.", volume = "43", pages = "50--67", year = "1947"} @article {C106, author = "{Chartres, B. A.}", title = "Adaptation of the {Jacobi} Method for a Computer with Magnetic-Tape Backing Store", journal = "Computing J.", volume = "5", pages = "51--60", year = "1962"} @article {C107, author = "{Chazan, D.} and {Miranker, W. L.}", title = "Chaotic Relaxation", journal = "Lin. Alg. Appl.", volume = "2", pages = "199--222", year = "1969"} @article {C108, author = "{Carr\'e, B. A.}", title = "The Partitioning of Network Equations for Block Iteration", journal = "Computing J.", volume = "9", pages = "84--96", year = "1966"} @article {C109, author = "{Chen, W. K.}", title = "The Inversion of Matrices by Flow Graphs", journal = "SIAM J. Appl. Math.", volume = "12", pages = "676--685", year = "1964"} @article {C110, author = "{Du Croz, J. J.} and {Nugent, S. M.} and {Reid, J. K.} and {Taylor, D. B.}", title = "Algorithm 578~: {Solution} of Real Linear Equations in a Paged Virtual Store", journal = "ACM Trans. Math. Software", volume = "7", number = "4", pages = "537--551", year = "1981"} @article {C111, author = "{Crout, P. D.}", title = "A Short Method for Evaluating Determinants and Solving Systems of Linear Equations with Real or Complex Coefficients", journal = "AIEE Trans. (supplement)", volume = "60", pages = "1235--1240", year = "1941"} @article {C112, author = "{Calahan, D. A.} and {Ames, W. G.}", title = "Vector Processors~: {Models} and Applications", journal = "IEEE Trans. Circuits and Systems", volume = "CAS-26", number = "9", pages = "715--726", year = "1979"} @manual {C113, organization = "{CONTROL DATA}", title = "{STAR-100} Computer System ``{Hardware Reference Manual}''", note = "{CONTROL DATA Corporation}", year = "1973"} @book {C114, author = "{Collatz, L.}", title = "Numerische und Graphische Methoden, Handbuch der Physik, volume {2}", publisher = "Springer-Verlag", year = "1955"} @book {C115, author = "{Couffignal, L.}", title = "R\'esolution Num\'erique des Syst\`emes d'\'Equations Lin\'eaires", publisher = "Gauthier et Villars", year = "1956"} @article {C116, author = "{Cantin, G.}", title = "An Equation Solver of Very Large Capacity", journal = "Int. J. Numer. Meth. Eng.", volume = "3", pages = "379--388", year = "1971"} @article {C117, author = "{Comstock, D. R.}", title = "A Note on Multiplying Boolean Matrices -- {II}", journal = "Comm. ACM", volume = "7", pages = "13", year = "1964"} @article {C118, author = "{Chow, T. S.} and {Kowalik, J. S.}", title = "Computing with Sparse Matrices", journal = "Int. J. Numer. Meth. Eng.", volume = "7", pages = "211--223", year = "1973"} @article {C119, author = "{Christensen, J. H.}", title = "The Structuring of Process Optimization", journal = "Amer. Inst. Chem. Eng. Journal", volume = "16", pages = "177--184", year = "1970"} @article {C120, author = "{Coates, C. L.}", title = "Flow Graph Solutions of Linear Algebraic Equations", journal = "IEEE Trans. Circuit Theory", volume = "CT-6", pages = "170--187", year = "1959"} @techreport {C121, author = "{Calahan, D. A.} and {Grapes, T. E.}", title = "Description of a Sparse Matrix Compiler with Applications", type = "{Tech. Report}", number = "AFORS-TR-71-2676", institution = "Systems Engineering Lab., Univ. Michigan", address = "Ann Arbor", year = "1971"} @techreport {C122, author = "{Calahan, D. A.} and {Schlansker, M. 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A.}", booktitle = "Sparse Matrix Proceedings, Symposium on Sparse Matrices and Their Applications", organization = "IBM Thomas J. Watson Research Center", address = "Yorktown Heights, New York", year = "1969"} @inproceedings {C127, author = "{Curtis, A. R.} and {Reid, J. K.}", title = "The Solution of Large Sparse Unsymmetric Systems of Linear Equations", editor = "{Freiman, C. V.}", booktitle = "Information Processing 71, Proc. {IFIP} Congress", address = "Ljubljana", pages = "1240--1245", publisher = "North-Holland", year = "1972"} @article {C128, author = "{Crespi-Reghizzi, S.} and {Morpurgo, R.}", title = "A Language for Treating Graphs", journal = "Comm. ACM", volume = "13", pages = "319--323", year = "1970"} @incollection {C129, author = "{Chandra, R.} and {Eisenstat, S. C.} and {Schultz, M. H.}", title = "Conjugate Gradient Methods for Partial Differential Equations", editor = "{Vichnevetsky, R.}", booktitle = "Proc. {AICA} International Symposium on Computer Methods for Partial Differential Equations, Bethlehem", publisher = "Prentice-Hall", year = "1975"} @article {C130, author = "{Chen, Y. T.}", title = "Permutation of Irreducible Matrices to Upper Triangular Forms", journal = "J. Inst. Math. Appl.", volume = "10", pages = "15--18", year = "1972"} @techreport {C131, author = "{Concus, P.} and {Golub, G. H.}", title = "A Generalized Conjugate Gradient Method for Nonsymmetric Systems of Linear Equations", type = "{Tech. Report}", number = "STAN-CS-75-535", institution = "Computer Science Dept., Stanford Univ.", year = "1975"} @techreport {C132, author = "{Concus, P.} and {Golub, G. H.} and {O'Leary, D. P.}", title = "A Generalized Conjugate Gradient Method for the Numeric Solution of Elliptic Partial Differential Equations", type = "{Tech. 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W.}", title = "Calculations of Normal Modes of Oceans Using a {Lanczos} Method", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", pages = "409--426", publisher = "Academic Press", year = "1976"} @inproceedings {C137, author = "{Calahan, D. A.} and {Dongarra, J. J.} and {Levine, D.}", title = "Vectorizing Compilers~: {A} Test Suite and Results", booktitle = "Supercomputing '88", pages = "409--426", organization = "ACM/IEEE", address = "Orlando", year = "1988"} @article {C138, author = "{Chaitin, G. J.} and {Auslander, M. A.} and {Chandra, A. K.} and {Cocke, J.} and {Hopkins, M. E.} and {Markstein, P. W.}", title = "Register Allocation Via Coloring", journal = "Computer Languages", volume = "6", pages = "47--57", year = "1982"} @article {C139, author = "{Chow, F. C.} and {Hennessy, J. L.}", title = "Register Allocation by Priority-Based Coloring", journal = "ACM SIGPLAN Notices", volume = "19", number = "6", pages = "222--232", note = "(Presented at {Proc. SIGPLAN '84 Compiler Construction})", year = "1984"} @inproceedings {C140, author = "{Chow, F. C.} and {Himelstein, M.} and {Killian, E.} and {Weber, L.}", title = "Engineering a {RISC} Compiler System", booktitle = "Proc. {COMPCON}", pages = "132--137", organization = "IEEE", address = "San Francisco", year = "1988"} @article {C141, author = "{Clark, D. W.}", title = "Cache Performance of the {VAX-11/780}", journal = "ACM Trans. Computer Systems", volume = "1", number = "1", pages = "24--37", year = "1983"} @inproceedings {C143, author = "{Clark, D. W.} and {Levy, H.}", title = "Measurement and Analysis of Instruction Set Use in the {VAX-11/780}", booktitle = "Proc. $9^{th}$ Annual Symposium on Computer Architecture", pages = "9--17", address = "Austin, Texas", year = "1982"} @article {C144, author = "{Clark, D. W.} and {Emer, J. S.}", title = "Performance of the {VAX-11/780} Translation Buffer~: {Simulation} and Measurement", journal = "ACM Trans. Computer Systems", volume = "3", number = "1", pages = "31--62", year = "1985"} @inproceedings {C145, author = "{Clark, D. W.} and {Bannon, P. J.} and {Keller, J. B.}", title = "Measuring {VAX 8800} Performance with a Histogram Hardware Monitor", booktitle = "Proc. $15^{th}$ Annual Symposium on Computer Architecture", pages = "176--185", address = "Honolulu, Hawaii", year = "1988"} @book {C146, author = "{Cocke, J.} and {Schwartz, J. T.}", title = "Programming Languages and Their Compilers", publisher = "Courant Institute", year = "1970"} @book {C147, author = "{Crawford, J. H.} and {Gelsinger, P. P.}", title = "Programming the 80386", publisher = "Sybex", address = "Alameda, California", year = "1987"} @book {C148, author = "{Chevalley, C.}", title = "Theory of {Lie} Groups", publisher = "Princeton University Press", year = "1946"} @article {C149, author = "{Carpaneto, G.} and {Fichetti, M.} and {Toth, P.}", title = "New Lower Bounds for the Symmetric Travelling Salesman Problem", journal = "Mathematical Programming", volume = "5", pages = "233--254", year = "1989"} @book {C150, author = "{do Carmo, M. P.}", title = "Riemannian Geometry", publisher = "Birkh{\"a}user Verlag", address = "Boston", year = "1992"} @techreport {C151, author = "{da Cruz Neto, J. X.} and {Oliveira, P. R.}", title = "Geodesic Descent in Linear and Nonlinear Programming", type = "{Tech. Report}", institution = "Depto. de Engenharia de Sistemas e Ci\^encias da Computa\c c\~ao, COPPE / Univ. Federal do Rio de Janeiro", year = "1995"} @techreport {C152, author = "{da Cruz Neto, J. X.} and {Oliveira, P. R.}", title = "A Unified View of Primal Methods Through Riemannian Metrics", type = "{Tech. Report}", number = "ES-363-95", institution = "Depto. de Engenharia de Sistemas e Ci\^encias da Computa\c c\~ao, COPPE / Univ. Federal do Rio de Janeiro", year = "1995"} @phdthesis {C153, author = "{da Cruz Neto, J. X.}", title = "M\'etodos Geod\'esicos na Programa\c c\~ao Matem\'atica", school = "Depto. de Engenharia de Sistemas e Ci\^encias da Computa\c c\~ao, COPPE / Univ. Federal do Rio de Janeiro", year = "1995"} @article {C154, author = "{Chen, M. S.} and {Shin, K. G.}", title = "Processor Allocation in an {N-Cube} Multiprocessor using Gray Codes", journal = "IEEE Trans. Comput.", volume = "C-36", pages = "1396--1407", year = "1987"} @manual {C155, author = "{CRAY Research, Inc.}", title = "{SSGETRF}~: {Factors} a Real Sparse General Matrix ``{Online Manual}''", organization = "{CRAY} Research, Inc.", year = "1993"} @techreport {C156, author = "{Carr, S.} and {Kennedy, K.}", title = "Improving the Ratio of Memory Operations to Floating-Point Operations in Loops", type = "{Tech. Report}", number = "CRPC-TR-92-284", institution = "Center for Research on Parallel Computation (CRPC), Rice Univ.", address = "Houston, Texas", year = "1992"} @phdthesis {C157, author = "{Carr, S.}", title = "Memory-Hierarchy Management", school = "Dept. of Computer Science, Rice Univ.", year = "1992"} @techreport {C158, author = "{Carter, L.}", title = "{RISC} from a Performance Programmer's Perspective", type = "{Tech. Report}", institution = "Computer Science and Eng. Dept., San Diego Supercomputer Center, Univ. of California", address = "San Diego", year = ""} @techreport {C159, author = "{Carter, L.} and {Ferrante, J.} and {Hummel, S. F.}", title = "Hierarchical Tiling for Improved Superscalar Performance", type = "{Tech. Report}", institution = "Computer Science and Eng. Dept., San Diego Supercomputer Center, Univ. of California", address = "San Diego", year = ""} @techreport {C160, author = "{Carter, L.}", title = "The {RAM} Model and the Performance Programmer", type = "{Research Report}", number = "RC-16319", institution = "IBM Thomas J. Watson Research Center", address = "Yorktown Heights", year = "1990"} % (D) ........................................................................ @article {D1, author = "{Dembart, B.} and {Erisman, A. M.}", title = "Hybrid Sparse Matrix Methods", journal = "IEEE Trans. Circuit Theory", volume = "CT-20", pages = "641--649", year = "1973"} @article {D2, author = "{Dongarra, J. J.} and {Hinds, A. R.}", title = "Unrolling Loops in {FORTRAN}", journal = "Software Practice and Experience", volume = "9", pages = "219--229", year = "1979"} @book {D3, author = "{Dongarra, J. J.} and {Duff, I. S.} and {Sorensen, D. C.} and {van der Vorst, H. A.}", title = "Solving Linear Systems on Vector and Shared Memory Computers", publisher = "SIAM Publications", year = "1991"} @article {D4, author = "{Dongarra, J. J.} and {Gustavson, F. G.} and {Karp, A. H.}", title = "Implementing Linear Algebra Algorithms for Dense Matrices on a Vector Pipeline Machine", journal = "SIAM Review", volume = "26", pages = "91--112", year = "1984"} @techreport {D5, author = "{Dongarra, J. J.} and {Duff, I. S.}", title = "Performance of Vector Computers for Direct and Indirect Addressing in {FORTRAN}", type = "{Tech. Report}", institution = "Harwell Laboratory", year = "1986"} @book {D6, author = "{Duff, I. S.} and {Erisman, A. M.} and {Reid, J. K.}", title = "Direct Methods for Sparse Matrices", publisher = "Clarendon Press", address = "Oxford", year = "1986"} @article {D7, author = "{Duff, I. S.}", title = "A Survey of Sparse Matrix Research", journal = "Proc. of the IEEE", volume = "65", number = "4", pages = "500--535", year = "1977"} @proceedings {D8, editor = "{Duff, I. S.} and {Stewart, G. W.}", title = "Sparse Matrix Proceedings 1978", publisher = "SIAM Publications", year = "1979"} @proceedings {D9, editor = "{Duff, I. S.}", title = "Vector and Parallel Processors in Computational Science~: {Proc.} $2^{nd}$ International Conference on Vector and Parallel Processors in Computational Science", publisher = "Elsevier Science Publishing Co.", year = "1985"} @techreport {D10, author = "{Duff, I. S.}", title = "Data Structures, Algorithms and Software for Sparse Matrices", type = "{Tech. Report}", number = "84-1846", institution = "Harwell Laboratory", year = "1984"} @techreport {D11, author = "{Duff, I. S.}", title = "{MA28}~: {A} Set of {FORTRAN} Subroutines for Sparse Unsymmetric Linear Equations", type = "{Tech. Report}", number = "R-8730", institution = "HMSO, AERE Harwell Laboratory", year = "1977"} @techreport {D12, author = "{Duff, I. S.}", title = "{MA27}~: {A} Set of {FORTRAN} Subroutines for Sparse Symmetric Linear Equations", type = "{Tech. Report}", number = "R-10533", institution = "HMSO, AERE Harwell Laboratory", year = "1982"} @techreport {D13, author = "{Duff, I. S.} and {Erisman, A. M.} and {Gear, C. W.} and {Reid, J. K.}", title = "Some Remarks on Inverses of Sparse Matrices", type = "{Tech. Report}", number = "CSS-171", note = "(Also available as Report 51, Mathematics and Computer Science Division, Argonne National Laboratory)", institution = "AERE Harwell Laboratory", year = "1985"} @techreport {D14, author = "{Duff, I. S.}", title = "{MA32}~: {A} Package for Solving Sparse Unsymmetric Systems using the Frontal Method", type = "{Tech. Report}", number = "R-10079", institution = "HMSO, AERE Harwell Laboratory", year = "1981"} @techreport {D15, author = "{Duff, I. S.}", title = "The Influence of Vector and Parallel Processors on Numerical Analysis", type = "{Tech. Report}", number = "AERE-R-12329", institution = "Computer Science and Systems Division, Harwell Laboratory", address = "Oxon, England", year = "1986"} @techreport {D16, author = "{Duff, I. S.}", title = "On Algorithms for Obtaining a Maximum Transversal", type = "{Tech. Report}", number = "CSS-49", institution = "Harwell Laboratory", year = "1976"} @techreport {D17, author = "{Duff, I. S.}", title = "Some Current Approaches to the Solution of Large Sparse Systems of Linear Equations", type = "{Tech. Report}", number = "CSS-65", institution = "Harwell Laboratory", year = "1978"} @techreport {D18, author = "{Duff, I. S.}", title = "A Survey of Sparse Matrix Software", type = "{Tech. Report}", number = "R-10512", institution = "Computer Science and Systems Division, AERE Harwell Laboratory", address = "Oxfordshire", year = "1982"} @techreport {D19, author = "{Duff, I. S.}", title = "Enhancements to the {MA32} Package for Solving Sparse Unsymmetric Equations", type = "{Tech. Report}", number = "R-11009", institution = "HMSO, London", year = "1983"} @techreport {D20, author = "{Duff, I. S.}", title = "The Use of Vector and Parallel Computers in the Solution of Large Sparse Linear Equations", type = "{Tech. Report}", number = "AERE-R-12393", institution = "Computer Science and Systems Division, Harwell Laboratory", address = "Oxon, England", year = "1986"} @techreport {D21, author = "{Dayde, M. J.} and {Duff, I. S.}", title = "Use of Level-3 {BLAS} in {LU} Factorization in a Multiprocessing Environment on three Vector Multiprocessors~: {The} {ALLIANT FX/8}, the {CRAY-2} and the {IBM 3090/VF}", type = "{Tech. Report}", number = "TR-TA-90-30", institution = "CERFACS", year = "1990"} @techreport {D22, author = "{Duff, I. S.}", title = "Multiprocessing a Sparse Matrix Code on the {ALLIANT} {FX/8}", type = "{Tech. Report}", number = "CSS-210", institution = "Computer Science and Systems Division, Harwell Laboratory", address = "Oxon, England", year = "1987"} @techreport {D23, author = "{Duff, I. S.} and {Gould, N.} and {Lescrenier, M.} and {Reid, J. K.}", title = "The Multifrontal Method in a Parallel Environment", type = "{Tech. Report}", number = "CSS-211", institution = "Computer Science and Systems Division, Harwell Laboratory", address = "Oxon, England", note = "(Published at {Advances in Numerical Computation, Cox, M. and Hammarling, S., eds., Oxford University Press, 1990})", year = "1987"} @article {D24, author = "{Duff, I. S.} and {Grimes, R. G.} and {Lewis, J. G.}", title = "Sparse Matrix Test Problems", journal = "ACM Trans. Math. Software", volume = "15", number = "1", pages = "1--14", year = "1989"} @article {D25, author = "{Duff, I. S.}", title = "Algorithm 575~: {Permutations} for a Zero-Free Diagonal", journal = "ACM Trans. Math. Software", volume = "7", number = "3", pages = "387--390", year = "1981"} @article {D26, author = "{Duff, I. S.}", title = "On the Number of Nonzeros Added when {Gaussian} Elimination is Performed on Sparse Random Matrices", journal = "Math. of Computation", volume = "28", number = "125", pages = "219--230", year = "1974"} @article {D27, author = "{Duff, I. S.} and {Reid, J. K.}", title = "An Implementation of {Tarjan's} Algorithm for the Block Triangulation of a Matrix", journal = "ACM Trans. Math. Software", volume = "4", number = "2", pages = "137--147", year = "1978"} @article {D28, author = "{Duff, I. S.} and {Reid, J. K.}", title = "Algorithm 529~: {Permutations} to Block Tridiagonal Form", journal = "ACM Trans. Math. Software", volume = "4", number = "2", pages = "189--192", year = "1978"} @article {D29, author = "{Duff, I. S.}", title = "On Algorithms for Obtaining a Maximum Transversal", journal = "ACM Trans. Math. Software", volume = "7", number = "3", pages = "315--330", year = "1981"} @article {D30, author = "{Duff, I. S.} and {Wiberg, T.}", title = "Remarks on Implementations of ${O}(n^{1/2} \tau)$ Assignment Algorithms", journal = "ACM Trans. Math. Software", volume = "14", number = "3", pages = "267--287", year = "1988"} @article {D31, author = "{Duff, I. S.}", title = "Parallel Implementation of Multifrontal Schemes", journal = "Parallel Computing", volume = "3", pages = "193--204", year = "1986"} @techreport {D32, author = "{Duff, I. S.} and {Marrone, M.} and {Radicati, G.}", title = "A Proposal for User Level Sparse {BLAS}", type = "{Tech. Report}", number = "RAL-92-087", institution = "Rutherford Appleton Laboratory", year = "1992"} @techreport {D33, author = "{Duff, I. S.}", title = "Research Directions in Sparse Matrix Computations", type = "{Tech. Report}", number = "AERE-R-10547", institution = "AERE, Harwell Laboratory", year = "1982"} @techreport {D34, author = "{Duff, I. S.}", title = "Recent Developments in the Solution of Large Sparse Linear Equations", type = "{Tech. Report}", number = "CSS-80", institution = "AERE, Harwell Laboratory", year = "1980"} @techreport {D35, author = "{Duff, I. S.}", title = "Full Matrix Techniques in Sparse {Gaussian} Elimination", type = "{Tech. Report}", number = "CSS-114", institution = "AERE, Harwell Laboratory", year = "1981"} @article {D36, author = "{Duff, I. S.}", title = "Direct Solvers", journal = "Computer Physics Reports", volume = "11", pages = "21--50", year = "1989"} @article {D37, author = "{Duff, I. S.}", title = "Direct Methods for Solving Sparse Systems of Linear Equations", journal = "SIAM J. Sci. and Stat. Comput.", volume = "5", number = "3", pages = "605--619", year = "1984"} @techreport {D38, author = "{Duff, I. S.} and {Grimes, R. G.} and {Lewis, J. G.}", title = "``{User's Guide}'' for the {Harwell-Boeing} Sparse Matrix Collection ({R}elease {I})", type = "{Tech. Report}", number = "RAL-92-086", institution = "Rutherford Appleton Laboratory", year = "1992"} @article {D39, author = "{Duff, I. S.}", title = "Design Features of a Frontal Code for Solving Sparse Unsymmetric Linear Systems Out of Core", journal = "SIAM J. Sci. and Stat. Comput.", volume = "5", number = "2", pages = "270--280", year = "1984"} @article {D40, author = "{Duff, I. S.} and {Reid, J. K.}", title = "The Multifrontal Solution of Unsymmetric Sets of Linear Equations", journal = "SIAM J. Sci. and Stat. Comput.", volume = "5", number = "3", pages = "633--641", year = "1984"} @article {D41, author = "{Duff, I. S.} and {Reid, J. K.}", title = "Some Design Features of a Sparse Matrix Code", journal = "ACM Trans. Math. Software", volume = "5", number = "1", pages = "18--35", year = "1979"} @article {D42, author = "{Duff, I. S.}", title = "{ME28}~: {A} Sparse Unsymmetric Linear Equation Solver for Complex Equations", journal = "ACM Trans. Math. Software", volume = "7", number = "4", pages = "505--511", year = "1981"} @article {D43, author = "{Duff, I. S.} and {Reid, J. K.}", title = "The Multifrontal Solution of Indefinite Sparse Symmetric Linear Equations", journal = "ACM Trans. Math. Software", volume = "9", number = "3", pages = "302--325", year = "1983"} @book {D44, editor = "{Duff, I. S.}", title = "Sparse Matrices and Their Uses", publisher = "Academic Press", year = "1981"} @incollection {D45, author = "{Duff, I. S.}", title = "A Sparse Future", editor = "{Duff, I. S.}", booktitle = "Sparse Matrices and Their Uses", pages = "1--29", publisher = "Academic Press", year = "1981"} @techreport {D46, author = "{Dayde, M. J.} and {Duff, I. S.}", title = "Use of Level-3 {BLAS} in {LU} Factorization on the {CRAY-2}, the {ETA-10P} and the {IBM 3090-200/VF}", type = "{Tech. Report}", number = "CSS-229", institution = "Computer Science and Systems Division, Harwell Laboratory", address = "Oxon, England", year = "1988"} @techreport {D47, author = "{Dembo, R. S.}", title = "Solving Box-Constrained Quadratic Programming Problems on a Vector Processor", type = "{Tech. Report}", institution = "Dept. of Computer Science, Univ. of Toronto", address = "Canada", year = "1987"} @book {D48, author = "{Dennis, J. E. Jr.} and {Schnabel, R. B.}", title = "Numerical Methods for Unconstrained Optimization and Nonlinear Equations", publisher = "Prentice-Hall", year = "1983"} @book {D49, author = "{Dantzig, G. B.}", title = "Linear Programming and Extensions", publisher = "Princeton University Press", year = "1962"} @book {D50, author = "{Durand, E.}", title = "Solutions Num\'eriques des \'Equations Alg\'ebriques, tome {II}~: Syst\`emes de Plusieurs \'Equations", publisher = "Masson \& Cie", year = "1972"} @book {D51, author = "{Demidovich, B. P.} and {Maron, I. A.}", title = "Computational Mathematics", publisher = "Mir Publishers", year = "1976"} @book {D52, author = "{Deo, N.}", title = "Graph Theory with Applications to Engineering and Computer Science", publisher = "Prentice-Hall", year = "1974"} @book {D53, author = "{Dahl, D.} and {Dijkstra, E. W.} and {Hoare, C. A. R.}", title = "Structured Programming", publisher = "Academic Press", year = "1972"} @article {D54, author = "{Dongarra, J. J.} and {Grosse. E.}", title = "Distribution of Mathematical Software via Electronic Mail", journal = "Comm. ACM", volume = "30", number = "5", pages = "403--407", year = "1987"} @article {D55, author = "{Dongarra, J. J.}", title = "{NA-NET} Is Up and Running at {O}ak {R}idge {N}ational {L}aboratory", journal = "SIAM News", volume = "24", number = "2", pages = "22", year = "1991"} @article {D56, author = "{Dodson, D. S.} and {Grimes, R. G.} and {Lewis, J. G.}", title = "Sparse Extensions to the {FORTRAN} {B}asic {L}inear {A}lgebra {S}ubprograms", journal = "ACM Trans. Math. Software", volume = "17", number = "2", pages = "253--263", year = "1991"} @article {D57, author = "{Dodson, D. S.} and {Grimes, R. G.} and {Lewis, J. G.}", title = "Algorithm 692~: {Model} Implementation and Test Package for the Sparse {B}asic {L}inear {A}lgebra {S}ubprograms", journal = "ACM Trans. Math. Software", volume = "17", number = "2", pages = "264--272", year = "1991"} @inproceedings {D58, author = "{Dembart, B.} and {Neves, K.W.}", title = "Sparse Triangular Factorization on Vector Computers", booktitle = "Exploring Applications of Parallel Processing", organization = "Electric Power Research Institute", address = "Palo Alto", pages = "22--25", note = "({Report EL-566-QR})", year = "1977"} @techreport {D59, author = "{Davis, T. A.}", title = "An Unsymmetric Pattern Multifrontal Method for Sparse {LU} Factorization", type = "{Tech. Report}", number = "TR-93-018", institution = "Computer and Information Science Dept., Univ. of Florida", year = "1993"} @article {D60, author = "{Davis, G.}", title = "Column {LU} Factorization with Pivoting on a Hypercube Multiprocessor", journal = "SIAM J. Alg. and Discr. Methods", volume = "7", year = "1986"} @book {D61, author = "{Dorn, W. S.} and {McCracken, D. D.}", title = "Numerical Methods with {FORTRAN} {IV} Case Studies", publisher = "John Wiley \& Sons", year = "1972"} @book {D62, author = "{Davenport, J. L. H.} and {Siret, Y.} and {Tournier, E.}", title = "Computer Algebra~: Systems and Algorithms for Algebraic Computations", publisher = "Academic Press", year = "1988"} @book {D63, author = "{Dahlquist, G.} and {Bj{\"o}rck, A.}", title = "Numerical Methods", publisher = "Prentice-Hall", year = "1974"} @book {D64, author = "{Davis, P.}", title = "Interpolation and Approximation", publisher = "Blaisdell Publishing Co.", year = "1963"} @book {D65, author = "{Davis, P.} and {Rabinowitz, P.}", title = "Methods of Numerical Integration", edition = "$2^{nd}$", publisher = "Academic Press", year = "1984"} @book {D66, author = "{Dongarra, J. J.} and others", title = "{LINPACK} ``{User's Guide}''", publisher = "SIAM Publications", year = "1979"} @article {D67, author = "{Dennis, J. E. Jr.} and {Mor\'e, J.}", title = "Quasi-{Newton} Methods, Motivation and Theory", journal = "SIAM Review", volume = "19", pages = "46--89", year = "1974"} @book {D68, editor = "{Dongarra, J. J} and {Messina, P.} and {Sorensen, D. C.} and {Voigt, R. G.}", title = "Proc. $4^{th}$ {SIAM} Conference on Parallel Processing for Scientific Computing", publisher = "SIAM Publications", year = "1990"} @incollection {D69, author = "{Duff, I. S.}", title = "Practical Comparisons of Codes for the Solution of Sparse Linear Systems", editor = "{Duff, I. S.} and {Stewart, G. W.}", booktitle = "Sparse Matrix Proceedings 1978", pages = "107--134", publisher = "SIAM Publications", year = "1979"} @book {D70, author = "{Daubechies, I.}", title = "Ten Lectures on Wavelets", publisher = "SIAM Publications", year = "1992"} @article {D71, author = "{Dennis, J. E. Jr.} and {Torczon, V.}", title = "Direct Search Methods on Parallel Machines", journal = "SIAM J. Optimization", volume = "1", number = "4", pages = "448--474", year = "1991"} @article {D72, author = "{Dennis, J. E. Jr.} and {Turner, K.}", title = "Generalized Conjugate Directions", journal = "Lin. Alg. Appl.", volume = "88", pages = "187--209", year = "1987"} @inproceedings {D73, author = "{Dikin, I. I.}", title = "Iterative Solution of Problems of Linear and Quadratic Programming", booktitle = "Doklady Akademii Nauk SSSR 174", pages = "747--748", note = "({Translated from Russian in Soviet Mathematics Doklady, 8:674--675})", year = "1967"} @article {D74, author = "{Dikin, I. I.}", title = "On the Convergence of an Iterative Process", journal = "Upravlyaemye Sistemii", volume = "12", pages = "54--60", note = "({In Russian})", year = "1974"} @article {D75, author = "{Dongarra, J. J.} and {Eisenstat, S. C.}", title = "Squeezing the Most Out of an Algorithm in {CRAY} {FORTRAN}", journal = "ACM Trans. Math. Software", volume = "10", number = "3", pages = "219--230", year = "1984"} @article {D76, author = "{Dommel, H. W.} and {Tinney, W. F.}", title = "Optimal Power Flow Solutions", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-88", number = "10", pages = "1866--1876", year = "1969"} @inproceedings {D77, author = "{Dommel, H. W.}", title = "A Method for Solution of Transient Phenomena in Multiphase Systems", booktitle = "Power System Computation Conference", address = "Stockholm", year = "1966"} @techreport {D78, author = "{Dommel, H. W.} and others", title = "Further Developments in {Newton's} Method for Power System Applications", type = "{Paper}", number = "70-CP-161", institution = "Bonneville Power Administration", note = "(Presented at {IEEE} {Winter Power Meeting, New York})", year = "1970"} @misc {D79, author = "{Dembart, B.} and others", title = "Improved Mathematical Techniques for Dynamic Analysis, volume 2", note = "EPRI Project 670-2"} @article {D80, author = "{Duff, I. S.} and {Reid, J. K.}", title = "On the Reduction of Sparse Matrices to Condensed Forms by Similarity Transformations", journal = "J. Inst. Math. Appl.", volume = "15", pages = "217--224", year = "1975"} @article {D81, author = "{Duff, I. S.} and {Reid, J. K.}", title = "A Comparison of some Methods for the Solution of Sparse Overdetermined Systems of Linear Equations", journal = "J. Inst. Math. Appl.", volume = "17", pages = "267--280", year = "1976"} @article {D82, author = "{Duff, I. S.} and {Reid, J. K.} and {Munksgaard, N.} and {Nielsen, H. B.}", title = "Direct Solution of Sets of Linear Equations whose Matrix is Sparse, Symmetric and Indefinite", journal = "J. Inst. Math. Appl.", volume = "23", pages = "235--250", year = "1979"} @incollection {D83, author = "{Duff, I. S.} and {Reid, J. K.}", title = "Performance Evaluation of Codes for Sparse Matrix Problems", editor = "{Fosdick, L. D.}", booktitle = "Performance Evaluation of Numerical Software", pages = "121--135", publisher = "North-Holland", year = "1979"} @article {D84, author = "{Dijkstra, E. W.}", title = "{GOTO} Statements Considered Harmful", journal = "Comm. ACM", volume = "11", pages = "147--148", year = "1968"} @misc {D85, author = "{DEC}", title = "{Special Issue} dedicated to {VAX} 8800", howpublished = "{Digital Technical Journal, 4}", year = "1987"} @inproceedings {D86, author = "{Decker, I. C.} and {Falc\~ao, D. M.} and {Kaszkurewicz, E.}", title = "Algoritmos para a Simula\c c\~ao da Din\^amica de Sistemas de Energia El\'etrica em Computadores Paralelos", booktitle = "Anais do V Simp\'osio Brasileiro de Arquitetura de Computadores e Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de Computa\c c\~ao", pages = "444--458", year = "1993"} @inproceedings {D87, author = "{Decker, I. C.} and {Falc\~ao, D. M.} and {Kaszkurewicz, E.}", title = "Parallel Implementation of a Power System Simulation Methodology using the Conjugate Gradient Method", booktitle = "IEEE Transactions on Power System Computation Conference", pages = "509--519", year = "1991"} @article {D88, author = "{Decker, I. C.} and {Falc\~ao, D. M.} and {Kaszkurewicz, E.}", title = "Parallel Implementation of a Power System Dynamic Simulation Methodology using the Conjugate Gradient Method", journal = "IEEE Trans. Power Systems", volume = "PWRS-7", pages = "458--465", year = "1992"} @inproceedings {D89, author = "{Decker, I. C.} and {Falc\~ao, D. M.} and {Kaszkurewicz, E.}", title = "An Efficient Parallel Method for Transient Stability Analysis", booktitle = "Proc. $10^{th}$ Power System Computation Conference ({PSCC})", pages = "509--516", address = "Graz, Austria", year = "1990"} @techreport {D90, author = "{Decker, I. C.} and {Falc\~ao, D. M.} and {Kaszkurewicz, E.}", title = "Esquema Alternado Entrela\c cado Impl\'\i cito Paralelo~: {Aplica\c c\~ao} do M\'etodo Gradiente Conjugado Pr\'e-Condicionado as Equa\c c\~oes da Rede El\'etrica", type = "{Relat\'orio Interno}", institution = "Programa de Engenharia El\'etrica, COPPE/UFRJ", year = "1993"} @techreport {D91, author = "{Decker, I. C.} and {Falc\~ao, D. M.} and {Kaszkurewicz, E.}", title = "Esquema Simult\^aneo Impl\'\i cito Paralelo no Tempo~: {Aplica\c c\~ao} dos M\'etodos Gradiente Biconjugado e Bi-cgstab", type = "{Relat\'orio Interno}", institution = "Programa de Engenharia El\'etrica, COPPE/UFRJ", year = "1993"} @techreport {D92, author = "{Dahlhaus, E.} and {Karpinski, M.}", title = "A Fast Parallel Algorithm for Computing All Maximal Cliques in a Graph and the Related Problems", type = "{Tech. Report}", number = "8516-CS", institution = "Inst. fur Informatik der Univ. Bonn", year = "1987"} @article {D93, author = "{Datta, B. N.}", title = "Parallel and Large-Scale Matrix Computations in Control~: {Some} Ideas", journal = "Lin. Alg. Appl.", volume = "121", pages = "243--264", year = "1989"} @article {D94, author = "{Davidon, W. C.}", title = "Conic Approximations and Collinear Scalings for Optimizers", journal = "SIAM J. Numer. Anal.", volume = "17", pages = "268--281", year = "1980"} @article {D95, author = "{Dembo, R. S.} and {Eisenstat, S. C.} and {Steihaug, T.}", title = "Inexact {Newton} Methods", journal = "SIAM J. Numer. Anal.", volume = "19", pages = "400--408", year = "1982"} @techreport {D96, author = "{Davidon, W. C.}", title = "Variable Metric Methods for Minimization", type = "{Tech. Report}", number = "ANL-5990", institution = "Argonne National Laboratory", year = "1959"} @book {D97, author = "{Dixon, L. C. W.} and {Szeg{\"o}, G. P.}", title = "Towards Global Optimization", volume = "1", publisher = "North-Holland", year = "1975"} @book {D98, author = "{Dixon, L. C. W.} and {Szeg{\"o}, G. P.}", title = "Towards Global Optimization, volume 2", publisher = "North-Holland", year = "1978"} @techreport {D99, author = "{Dembo, R. S.} and {Tulowitzki, U.}", title = "On the Minimization of Quadratic Functions Subject to Box Constraints", type = "{Working Paper}", number = "71", institution = "School of Organization and Management, Yale Univ.", address = "New Haven, CT", year = "1983"} @incollection {D100, author = "{Dennis, J. E. Jr.} and {Schnabel, R. B.}", title = "A View of Unconstrained Optimization", editor = "{Nemhauser, G. L.} and {Rinnooy Kan, A.} and {Todd, M. J.}", booktitle = "Handbooks in Operations Research and Management Science, volume {1}~: {Optimization}", chapter = "1", pages = "1--72", publisher = "North-Holland", year = "1989"} @article {D101, author = "{Dunn, J.}", title = "Global and Asymptotic Convergence Rate Estimates for a Class of Projected Gradient Processes", journal = "SIAM J. Control and Optim.", volume = "19", pages = "368--400", year = "1981"} @article {D102, author = "{Dunn, J.}", title = "On the Convergence of Projected Gradient Processes to Singular Critical Points", journal = "J. of Optim. Theory Appl.", volume = "55", pages = "203--216", year = "1987"} @techreport {D103, author = "{Dixon, L. C. W.}", title = "The Place of Parallel Computation in Numerical Optimization -- {I}~: {The} Local Problem", type = "{Tech. Report}", number = "118", institution = "Numerical Optimization Centre, The Hatfield Polytechnic", year = "1981"} @incollection {D104, author = "{Dembo, R. S.}", title = "Large-Scale Nonlinear Optimization", editor = "{Powell, M. J. D.}", booktitle = "Nonlinear Optimization 1981", pages = "361--372", publisher = "Academic Press", year = "1982"} @techreport {D105, author = "{Dembo, R. S.}", title = "{NLPNET}~: {A} Code for Nonlinear Network Optimization Problems", type = "{Working Paper}", number = "Series B-70", institution = "Yale Univ., New Haven", year = "1983"} @techreport {D106, author = "{Dantzig, G. B.} and {Eisenstat, S. C.} and {Magnante, T.} and {Maier, S.} and {McGrath, M.} and {Nicholson, V.} and {Riedel, C.}", title = "{MPL}~: {M}athematical {P}rogramming {L}anguage, ``{Specification Manual}''", type = "{Tech. Report}", number = "STAN-CS-70-187", institution = "Stanford Univ.", year = "1970"} @techreport {D107, author = "{Dixon, L. C. W.}", title = "Global Optima Without Convexity", type = "{Tech. Report}", institution = "Numerical Optimization Centre, Hatfield Polytechnic", year = "1978"} @book {D108, author = "{Dijkstra, E. W.}", title = "A Discipline of Programming", publisher = "Prentice-Hall", year = "1976"} @article {D109, author = "{Duff, I. S.} and {Meurant, G.}", title = "The Effect of Ordering on Preconditioned Conjugate Gradients", journal = "BIT", volume = "29", year = "1989"} @article {D110, author = "{Dongarra, J. J.} and {Du Croz, J.} and {Duff, I. S.} and {Hammarling, S.}", title = "A Set of Level 3 {B}asic {L}inear {A}lgebra {S}ubprograms", journal = "ACM Trans. Math. Software", volume = "16", pages = "1--17", year = "1990"} @article {D111, author = "{Dongarra, J. J.} and {Du Croz, J.} and {Hammarling, S.} and {Hanson, R.}", title = "An Extended Set of {FORTRAN} {B}asic {L}inear {A}lgebra {S}ubroutines", journal = "ACM Trans. Math. Software", volume = "14", pages = "1--32", year = "1988"} @incollection {D112, author = "{Dantzig, G. B.}", title = "All Shortest Routes in a Graph", booktitle = "Theory of Graphs International Symposium", pages = "91--92", publisher = "Gordon and Breach", address = "New York", year = "1967"} @techreport {D113, author = "{Dantzig, G. B.}", title = "Comments on {Khachiyan's} Algorithm for Linear Programming", type = "{Tech. Report}", number = "SOR-79-22", institution = "Dept. of Operations Res., Stanford Univ.", year = "1979"} @article {D114, author = "{Davis, T. A.} and {Yew, P. C.}", title = "A Nondeterministic Parallel Algorithm for General Unsymmetric Sparse {LU} Factorization", journal = "SIAM J. Matrix Anal. and Appl.", volume = "11", pages = "383--402", year = "1990"} @article {D115, author = "{Duff, I. S.}", title = "Multiprocessing a Sparse Matrix Code on the {ALLIANT} {FX/8}", journal = "J. Comput. Appl. Math.", volume = "27", pages = "229--239", year = "1989"} @article {D116, author = "{Duff, I. S.} and {Erisman, A. M.} and {Reid, J. K.}", title = "On {George's} Nested Dissection Method", journal = "SIAM J. Numer. Anal.", volume = "13", pages = "686--695", year = "1976"} @article {D117, author = "{Duff, I. S.} and {Erisman, A. M.} and {Reid, J. K.}", title = "A Comparison of Sparsity Orderings for Obtaining a Pivotal Sequence in {Gaussian} Elimination", journal = "J. Inst. Math. Appl.", volume = "14", pages = "281--291", year = "1974"} @article {D118, author = "{Duff, I. S.} and {Erisman, A. M.} and {Reid, J. K.}", title = "Pivot Selection and Row Ordering in {Givens} Reduction on Sparse Matrices", journal = "Computing", volume = "13", pages = "239--248", year = "1974"} @incollection {D119, author = "{Duff, I. S.}", title = "Recent Developments in the Solution of Large Sparse Linear Equations", editor = "{Glowinski, R.} and {Lions, J. L.}", booktitle = "Computing Methods in Applied Sciences and Engineering", pages = "407--426", publisher = "North-Holland", year = "1980"} @phdthesis {D120, author = "{Duff, I. S.}", title = "Analysis of Sparse Systems", school = "Oxford Univ., England", note = "({Chapters: On a Factored Form of the Inverse for Sparse Matrices, Selecting a Maximal Transversal})", year = "1972"} @incollection {D121, author = "{Duff, I. S.}", title = "Data Structures, Algorithms and Software for Sparse Matrices", editor = "{Evans, D. J.}", booktitle = "Sparsity and its Applications", pages = "1--29", publisher = "Cambridge University Press", year = "1985"} @article {D122, author = "{Duff, I. S.} and {Grimes, R. G.} and {Lewis, J. G.} and {Poole, B.}", title = "Sparse Matrix Test Problems", journal = "ACM SIGNUM Newsletter", volume = "17", pages = "22", year = "1982"} @book {D123, editor = "{Dongarra, J. J.}", title = "Experimental Parallel Computing Architectures", publisher = "North-Holland", year = "1987"} @article {D124, author = "{Dodson, D. S.} and {Lewis, J. G.}", title = "Issues Relating to the Extension of the {B}asic {L}inear {A}lgebra Subprograms", journal = "ACM SIGNUM Newsletter", volume = "20", number = "1", pages = "2--18", year = "1985"} @techreport {D125, author = "{Dongarra, J. J.}", title = "Performance of Various Computers using Standard Linear Equations Software in a {FORTRAN} Environment", type = "{Tech. Report}", number = "CS-89-85", institution = "Univ. of Tennessee", year = "1990"} @techreport {D126, author = "{Dongarra, J. J.} and {Duff, I. S.}", title = "Advanced Architecture Computers", type = "{Tech. Report}", number = "CS-89-90", institution = "Univ. of Tennessee", year = "1989"} @article {D127, author = "{Dongarra, J. J.} and {Sorensen, D. C.} and {Connolly, K.} and {Patterson, J.}", title = "Programming Methodology and Performance Issues for Advanced Computer Architectures", journal = "Parallel Computing", volume = "8", pages = "41--58", year = "1988"} @incollection {D128, author = "{Dongarra, J. J.} and {Sorensen, D. C.}", title = "Linear Algebra on High-Performance Computers", editor = "{Schendel, U.}", booktitle = "Proc. of Parallel Computing '85", pages = "3--32", publisher = "North-Holland", year = "1986"} @incollection {D129, author = "{Duff, I. S.}", title = "The Solution of Sparse Linear Equations on the {CRAY-1}", editor = "{Kowalik, J. S.}", booktitle = "Proceedings of the {NATO} Workshop on High Speed Computation, West Germany", series = "{NATO} {ASI} Series", volume = "F-7", pages = "293--309", publisher = "Springer-Verlag", year = "1984"} @incollection {D130, author = "{Duff, I. S.}", title = "The Parallel Solution of Sparse Linear Equations", editor = "{Handler, W.} and {Haupt, D.} and {Jeltsch, R.} and {Juling, W.} and {Lange, O.}", booktitle = "{CONPAR} '86", series = "Lecture Notes in Computer Science", volume = "237", pages = "18--24", publisher = "Springer-Verlag", year = "1986"} @incollection {D131, author = "{Duff, I. S.} and {Johnsson, S. L.}", title = "Node Orderings and Concurrency in Structurally-Symmetric Sparse Problems", editor = "{Garey, G. F.}", booktitle = "Parallel Supercomputing~: {Methods}, Algorithms and Applications", pages = "177--189", publisher = "John Wiley \& Sons", year = "1988"} @article {D132, author = "{Duff, I. S.} and {Reid, J. K.} and {Scott, J. A.}", title = "The use of Profile Reduction Algorithms with a Frontal Code", journal = "Int. J. Numer. Meth. in Eng.", volume = "28", pages = "2555--2568", year = "1989"} @article {D133, author = "{Dongarra, J. J.} and {Sorensen, D. C.}", title = "A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem", journal = "SIAM J. Sci. and Stat. Comput.", volume = "8", pages = "s139--s154", year = "1987"} @article {D134, author = "{Dwyer, P. S.} and {Macphail, M. S.}", title = "Symbolic Matrix Derivatives", journal = "Ann. Math. Stat.", volume = "19", pages = "517--534", year = "1948"} @techreport {D135, author = "{Davis, T. A.}", title = "{PSOLVE}~: {A} Concurrent Algorithm for Solving Sparse Systems of Linear Equations", type = "{Tech. Report}", number = "612", institution = "Center for Supercomputing Research and Development, Univ. of Illinois at Urbana-Champaign", year = "1986"} @article {D136, author = "{Duff, I. S.}", title = "The Solution of Sparse Linear Equations on the {CRAY-1}", journal = "CRAY Channels", volume = "4", number = "3", year = "1982"} @article {D137, author = "{Duff, I. S.} and {Reid, J. K.}", title = "Experience of Sparse Matrix Codes on the {CRAY-1}", journal = "Comput. Phys. Comm.", volume = "76", pages = "293--302", year = "1982"} @techreport {D140, author = "{Duff, I. S.} and {Johnsson, L.}", title = "The Effect of Orderings on the Parallelization of Sparse Code", type = "{Tech. Memorandum}", institution = "Mathematics and Computer Science Division, Argonne National Laboratory", year = "1986"} @inproceedings {D141, author = "{Duff, I. S.} and {Johnsson, L.}", title = "Node Orderings and Concurrency in Sparse Problems~: {An} Experimental Investigation", booktitle = "Proc. of International Conference on Vector and Parallel Computing, Loen, Norway", pages = "2--6", year = "1986"} @inproceedings {D142, author = "{Ditzel, D. R.} and {McLellan, H. R.}", title = "Branch Folding in the {CRISP} Microprocessor~: {Reducing} the Branch Delay to Zero", booktitle = "Proc. $14^{th}$ Symposium on Computer Architecture", pages = "2--7", address = "Pittsburgh", year = "1987"} @incollection {D143, author = "{Dantzig, G. B.}", title = "Maximization of a Linear Function of Variables Subject to Linear Inequalities", editor = "{Koopmans, T. C.}", booktitle = "Activity Analysis of Production and Allocation", pages = "339--347", publisher = "John Wiley \& Sons", address = "New York", year = "1951"} @article {D144, author = "{Dantzig, G. B.} and {Van Slyke, R. M.}", title = "Generalized Upper Bounding Techniques", journal = "J. Computer Systems Sciences", volume = "1", pages = "213--226", year = "1967"} @article {D145, author = "{Dantzig, G. B.} and {Wolfe, P.}", title = "Decomposition Principle for Linear Programs", journal = "Operations Res.", volume = "8", pages = "101--111", year = "1960"} @article {D146, author = "{Dantzig, G. B.} and {Wolfe, P.}", title = "The Decomposition Algorithm for Linear Programs", journal = "Econometrica", volume = "29", pages = "767--778", year = "1961"} @incollection {D147, author = "{Dantzig, G. B.}", title = "Compact Basis Triangularization for the Simplex Method", editor = "{Graves, R. L.} and {Wolfe, P.}", booktitle = "Recent Advances in Mathematical Programming", pages = "125--132", publisher = "McGraw-Hill", year = "1963"} @article {D148, author = "{Dantzig, G. B.} and {Orchard-Hays, W.}", title = "The Product Form of Inverse in the Simplex Method", journal = "Math. of Computation", volume = "8", pages = "64--67", year = "1954"} @inproceedings {D149, author = "{Dantzig, G. B.} and {Harvey, R. P.} and {McKnight, R. D.} and {Smith, S. S.}", title = "Sparse Matrix Techniques in Two Mathematical Programming Codes", editor = "{Willoughby, R. A.}", booktitle = "Sparse Matrix Proceedings, Symposium on Sparse Matrices and Their Applications", pages = "85--99", organization = "IBM Thomas J. Watson Research Center", address = "Yorktown Heights, New York", year = "1969"} @article {D150, author = "{Dulmage, A. L.} and {Mendelsohn, N. S.}", title = "On the Inversion of Sparse Matrices", journal = "Math. of Computation", volume = "16", pages = "494--496", year = "1962"} @inproceedings {D151, author = "{Dahlquist, G.}", title = "A Numerical Method for some Ordinary Differential Equations with Large {Lipschitz} Constants", booktitle = "Proc. {IFIP} Congress", address = "Edinburgh", year = "1968"} @article {D152, author = "{Dupont, T.}", title = "A Factorization Procedure for the Solution of Elliptic Difference Equations", journal = "SIAM J. Numer. Anal.", volume = "5", pages = "735--782", year = "1968"} @article {D153, author = "{Dupont, T.} and {Kendall, R. P.} and {Rachford, H. H. Jr.}", title = "An Approximate Factorization Procedure for the Solving Self-Adjoint Elliptic Difference Equations", journal = "SIAM J. Numer. Anal.", volume = "5", pages = "559--573", year = "1968"} @article {D154, author = "{Dulmage, A. L.} and {Mendelsohn, N. S.}", title = "Two Algorithms for Bipartite Graphs", journal = "SIAM J. Appl. Math.", volume = "11", pages = "183--194", year = "1963"} @article {D155, author = "{Denning, P. J.}", title = "Virtual Memory", journal = "ACM Computing Surveys", volume = "2", pages = "153--189", year = "1970"} @incollection {D156, author = "{Director, S. W.}", title = "A Survey of Decomposition Techniques for Analysis and Design of Electrical Networks", editor = "{Himmelblau, D. M.}", booktitle = "Decomposition of Large Scale Problems", pages = "93--118", publisher = "North-Holland", year = "1973"} @article {D157, author = "{Dobbie, J. M.}", title = "A Survey of Search Theory", journal = "Operations Res.", volume = "16", pages = "525--537", year = "1968"} @book {D158, author = "{Dwyer, P. S.}", title = "Linear Computations", publisher = "John Wiley \& Sons", year = "1951"} @book {D159, author = "{Denis-Papin, M.} and {Kaufmann, A.}", title = "Cours de Calcul Matriciel", publisher = "Albin Michel", year = "1953"} @article {D160, author = "{Dorr, F. W.}", title = "The Direct Solution of the Discrete {Poisson} Equation on a Rectangle", journal = "SIAM Review", volume = "12", pages = "248--263", year = "1970"} @article {D161, author = "{Dorr, F. W.}", title = "The Direct Solution of the Discrete {Poisson} Equation in ${O}(n^2)$ Operations", journal = "SIAM Review", volume = "17", pages = "412--415", year = "1975"} @book {D162, editor = "{Dold, A.} and {Eckmann, B.}", title = "Proc. of the Symposium on Constructive and Computational Methods for Differential Equations", publisher = "Springer-Verlag", year = "1974"} @misc {D163, author = "{Duff, I. S.} and {Gustavson, F. G.}", title = "Implementations of the {Hopcroft} and {Karp} Maximum Matching Algorithm"} @misc {D164, author = "{Duff, I. S.}", title = "Network Analysis and Graph Theory", note = "(Dissertation for {Dipl. Adv. Math., Oxford Univ.})", year = "1970"} @book {D165, author = "{Dixon, P. B.} and {Parmenter, B. R.} and {Sutton, J.} and {Vincent, D. P.}", title = "{ORANI}~: {A} Multisectoral Model of the {Australian} Economy", publisher = "North-Holland", year = "1982"} @article {D166, author = "{DeRosa, J.} and {Glackemeyer, R.} and {Knight, T.}", title = "Design and Implementation of the {VAX 8600} Pipeline", journal = "Computer", volume = "18", number = "5", pages = "38--48", year = "1985"} @inproceedings {D167, author = "{Dongarra, J. J.}", title = "A Survey of High Performance Computers", booktitle = "{COMPCON}", pages = "8--11", organization = "IEEE", year = "1986"} @article {D168, author = "{Dijkstra, E. W.}", title = "A Note on two Problems in Connection with Graphs", journal = "Numerical Mathematics", volume = "1", number = "5", pages = "269--271", year = "1959"} @article {D169, author = "{Deo, N.} and {Krishnamoorty, M. S.} and {Langston, M. A.}", title = "Exact and Approximate Solutions for the Gate Matrix Layout Problem", journal = "IEEE Trans. on Computer Aided Design", volume = "6", pages = "79--84", year = "1987"} @manual {D170, author = "{Demmel, J. W.} and {Gilbert, J. R.} and {Li, X. S.}", title = "{SuperLU} ``{User's Guide}''", year = "1995"} @techreport {D171, author = "{Demmel, J. W.}, {Eisenstat, S. C.} and {Gilbert, J. R.} and {Li, X. S.} and {Liu, J. W. H.}", title = "A Supernodal Approach to Sparse Partial Pivoting", type = "{Tech. Report}", number = "CSL-95-03", institution = "XEROX Palo Alto Research Center", year = "1995"} @techreport {D172, author = "{Djidjev, H. N.} and {Gilbert, J. R.}", title = "Separators in Graphs with Negative and Multiple Vertex Weights", type = "{Tech. Report}", number = "CSL-90-08", institution = "XEROX Palo Alto Research Center", note = "({Revised at Tech. Report CSL-92-07})", year = "1990"} @techreport {D173, author = "{Dayd\'e, M. J.} and {Duff, I. S.}", title = "{A} Block Implementation of Level 3 {BLAS} for {RISC} Processors", type = "{Tech. Report}", institution = "CERFACS", year = "1995"} @techreport {D174, author = "{Davis, T. A.}", title = "``{User's Guide}'' for the Unsymmetric-Pattern Multifrontal Package ({UMFPACK})", type = "{Tech. Report}", number = "TR-93-020", institution = "Computer and Information Sciences Dept., Univ. of Florida", year = "1993"} @techreport {D175, author = "{Davis, T. A.} and {Duff, I. S.}", title = "An Unsymmetric-Pattern Multifrontal Method for Sparse {LU} Factorization", type = "{Tech. Report}", number = "RAL-93-036", institution = "Rutherford Appleton Laboratory", address = "Chilton, Didcot, Oxfordshire", year = "1994"} @techreport {D176, author = "{Duff, I. S.} and {Reid, J. K.}", title = "{MA48}:~{A} {FORTRAN} Code for Direct Solution of Sparse Unsymmetric Linear Systems of Equations", type = "{Tech. Report}", number = "RAL-93-072", institution = "Rutherford Appleton Laboratory", address = "Oxon", year = "1993"} @techreport {D177, author = "{Davis, T. A.} and {Amestoy, P.} and {Duff, I. S.}", title = "An Approximate Minimum Degree Ordering Algorithm", type = "{Tech. Report}", number = "TR-94-039", institution = "Computer and Information Science Dept., Univ. of Florida", note = "(Revised July 1995)", year = "1994"} @techreport {D178, author = "{Davis, T. A.} and {Duff, I. S.}", title = "Unsymmetric-Pattern Multifrontal Methods for Parallel Sparse {LU} Factorization", type = "{Tech. Report}", number = "TR-91-023", institution = "Computer and Information Science Dept., Univ. of Florida", year = "1991"} @techreport {D179, author = "{Davis, T. A.} and {Duff, I. S.}", title = "An Unsymmetric-Pattern Multifrontal Method for Sparse {LU} Factorization", type = "{Tech. Report}", number = "TR-94-038", institution = "Computer and Information Science Dept., Univ. of Florida", year = "1994"} @techreport {D180, author = "{Davis, T. A.}", title = "User's Guide for the Unsymmetric-Pattern Multifrontal Package ({UMFPACK}), Version 1.1", type = "{Tech. Report}", number = "TR-95-004", institution = "Computer and Information Science Dept., Univ. of Florida", year = "1995"} @techreport {D181, author = "{Davis, T. A.}", title = "Performance of an Unsymmetric-Pattern Multifrontal Method for Sparse {LU} Factorization", type = "{Tech. Report}", number = "TR-92-014", institution = "Computer and Information Science Dept., Univ. of Florida", year = "1992"} @techreport {D182, author = "{Davis, T. A.} and {Duff, I. S.}", title = "A Combined Unifrontal/Multifrontal Method for Unsymmetric Sparse Matrices", type = "{Tech. Report}", number = "TR-95-020", institution = "Computer and Information Science Dept., Univ. of Florida", year = "1995"} @techreport {D183, author = "{Davis, T. A.}", title = "A Combined Unifrontal/Multifrontal Method for Unsymmetric Sparse Matrices", type = "{Tech. Report}", number = "TR-94-005", institution = "Computer and Information Science Dept., Univ. of Florida", note = "({Proc. of $5^{th}$ SIAM Conference on Applied Linear Algebra})", year = "1994"} @article {D184, author = "{Duff, I. S.} and {Reid, J. K.}", title = "The Design of {MA48}, a Code for the Direct Solution of Sparse Unsymmetric Linear Systems of Equations", journal = "ACM Trans. Math. Software", note = "({To be published})", year = "1995"} @article {D185, author = "{Duff, I. S.} and {Reid, J. K.} and {Scott, J. A.}", title = "The Use of Low Profile Reduction Algorithms with a Frontal Code", journal = "Int. J. Numer. Meth. Eng.", volume = "28", pages = "2555--2568", year = "1989"} @techreport {D186, author = "{Duff, I. S.} and {Scott, J. A.}", title = "{MA42}:~{A} New Frontal Code for Solving Sparse Unsymmetric Systems", type = "{Tech. Report}", number = "RAL-93-064", institution = "Rutherford Appleton Laboratory", note = "({To be published in reduced form at ACM Trans. Math. Software})", year = "1993"} @inproceedings {D187, author = "{Duff, I. S.} and {Scott, J. A.}", title = "The use of Multiple Fronts in Gaussian Elimination", booktitle = "Proc. $5^{th}$ SIAM Conference on Applied Linear Algebra", editor = "{Lewis, J.}", pages = "567--571", publisher = "SIAM Publications", year = "1994"} @incollection {D188, author = "{Duff, I. S.} and {Johnsson, L. S.}", title = "Node Orderings and Concurrency in Structurally-Symmetric Sparse Problems", booktitle = "Parallel Supercomputing:~ {Methods}, Algorithms, and Applications", editor = "{Carey, G. F.}", pages = "177--189", publisher = "John Wiley \& Sons", year = "1989"} % (E) ........................................................................ @article {E1, author = "{Eisenstat, S. C.} and {Schultz, M. H.} and {Sherman, A. H.}", title = "Algorithms and Data Structures for Sparse Symmetric {Gaussian} Elimination", journal = "SIAM J. Sci. and Stat. Comput.", volume = "2", number = "2", pages = "225--237", year = "1981"} @article {E2, author = "{Eisenstat, S. C.} and {Gursky, M. C.} and {Schultz, M. H.} and {Sherman, A. H.}", title = "{Y}ale {S}parse {M}atrix {P}ackage ({YSMP}) -- {I}~: {The} Symmetric Codes", journal = "Int. J. Numer. Meth. in Eng.", volume = "18", pages = "1145--1151", year = "1982"} @incollection {E3, author = "{Eisenstat, S. C.} and {Schultz, M. H.} and {Sherman, A. H.}", title = "Efficient Implementation of Sparse Symmetric {Gaussian} Elimination", editor = "{Vichnevetsky, R.}", booktitle = "Proc. {AICA} International Symposium on Computer Methods for Partial Differential Equations, Bethlehem", pages = "33--39", publisher = "Prentice-Hall", year = "1975"} @incollection {E4, author = "{Eisenstat, S. C.} and {George, A.} and {Grimes, R.} and {Kincaid, D.} and {Sherman, A. H.}", title = "Some Comparisons of Software Packages for Large Sparse Linear Systems", editor = "{Vichnevetsky, R.} and {Stepleman}", booktitle = "Advances in Computer Methods for Partial Differential Equations III", pages = "98--106", publisher = "Publ. IMACE", year = "1979"} @incollection {E5, author = "{Eisenstat, S. C.} and {Schultz, M. H.} and {Sherman, A. H.}", title = "Software for Sparse {Gaussian} Elimination with Limited Core Storage", editor = "{Duff, I. S.} and {Stewart, G. W.}", booktitle = "Sparse Matrix Proceedings 1978", pages = "135--153", publisher = "SIAM Publications", year = "1979"} @book {E6, editor = "{Evans, D. J.}", title = "Sparsity and its Applications", publisher = "Cambridge University Press", year = "1985"} @book {E7, editor = "{Erisman, A. M.} and {Neves, K. W.} and {Dwarakanath, M. H.}", title = "Electric Power Problems~: The Mathematical Challenge", publisher = "SIAM Publications", year = "1980"} @article {E8, author = "{Eskow, E.} and {Schnabel, R. B.}", title = "Software for a New Modified {Cholesky} Factorization", journal = "ACM Trans. Math. Software", volume = "17", number = "3", pages = "306--312", year = "1991"} @incollection {E9, author = "{Edelsbrunner, H.}", title = "Algorithms in Combinatorial Geometry", booktitle = "{EATCS} Monographs on Theoretical Computer Science", editor = "{Brauer, W.} and {Rozenberg, G.} and {Salomaa, A.}", publisher = "Springer-Verlag", year = "1987"} @book {E10, author = "{Efimov, N. V.} and {Rozendorn, E. R.}", title = "Linear Algebra and Multi-Dimensional Geometry", publisher = "Mir Publishers", year = "1975"} @article {E11, author = "{Enbody, R. J} and {Du, H. C.}", title = "Dynamic Hashing Schemes", journal = "ACM Computing Surveys", volume = "20", number = "2", pages = "85--113", year = "1988"} @inproceedings {E12, author = "{Edelmann, H.}", title = "Ordered Triangular Factorization of Matrices", booktitle = "Power System Computation Conference", address = "Stockholm", year = "1966"} @article {E13, author = "{Enns, M. K.} and {Tinney, W. F.} and {Alvarado, F. L.}", title = "Sparse Matrix Inverse Factors", journal = "IEEE Trans. Power Systems", volume = "PWRS-5", pages = "466--473", year = "1990"} @article {E14, author = "{Eisenstat, S. C.} and {Liu, J. W. H.}", title = "Exploiting Structural Symmetry in Unsymmetric Sparse Symbolic Factorization", journal = "SIAM J. Matrix Anal. and Appl.", volume = "13", number = "1", pages = "202--211", year = "1992"} @article {E15, author = "{Edmonds, J.}", title = "Paths, Trees, and Flowers", journal = "Canadian J. Math.", volume = "17", pages = "449--467", year = "1965"} @article {E16, author = "{Edmonds, J.}", title = "Optimum Branchings", journal = "J. Res. Nat. Bur. Standards", volume = "B71", pages = "233--240", year = "1967"} @article {E17, author = "{Edmonds, J.} and {Karp, R. M.}", title = "Theoretical Improvements in Algorithmic Efficiency for Network Flow Problems", journal = "J. ACM", volume = "19", pages = "248--264", year = "1972"} @book {E18, author = "{Even, S.}", title = "Graph Algorithms", publisher = "Computer Science Press", year = "1979"} @article {E19, author = "{Even, S.} and {Tarjan, R. E.}", title = "Network Flow and Testing Graph Connectivity", journal = "SIAM J. Comput.", volume = "4", pages = "507--518", year = "1975"} @phdthesis {E20, author = "{Edenbrandt, A. G.}", title = "Combinatorial Problems in Matrix Computation", school = "Cornell Univ.", year = "1985"} @article {E21, author = "{Eisenstat, S. C.} and {Heath, M.} and {Henkel, C.} and {Romine, C.}", title = "Modified Cyclic Algorithms for Solving Triangular Systems on Distributed-Memory Multiprocessors", journal = "SIAM J. Sci. and Stat. Comput.", volume = "9", pages = "589--600", year = "1988"} @techreport {E22, author = "{Eisenstat, S. C.} and {Sherman, A. H.}", title = "Subroutines for Envelope Solution of Sparse Linear Systems", type = "{Tech. Report}", number = "35", institution = "Dept. of Computer Science, Yale Univ.", address = "New Haven", year = "1974"} @incollection {E23, author = "{Eisenstat, S. C.} and {Schultz, M. H.} and {Sherman, A. H.}", title = "Applications of an Element Model for {Gaussian} Elimination", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", pages = "85--96", publisher = "Academic Press", year = "1976"} @article {E24, author = "{Erisman, A. M.} and {Spies, G. E.}", title = "Exploiting Problem Characteristics in the Sparse Matrix Approach to Frequency Domain Analysis", journal = "IEEE Trans. Circuit Theory", volume = "CT-19", pages = "260--269", year = "1972"} @article {E25, author = "{Erisman, A. M.} and {Tinney, W. F.}", title = "On Computing Certain Elements of the Inverse of a Sparse Matrix", journal = "Comm. ACM", volume = "18", pages = "177--179", year = "1975"} @article {E26, author = "{Erisman, A. M.} and {Grimes, R. G.} and {Lewis, J. G.} and {Poole, W. G. Jr.} and {Simon, H. D.}", title = "Evaluation of Orderings for Unsymmetric Sparse Matrices", journal = "SIAM J. Sci. and Stat. Comput.", volume = "7", pages = "600--624", year = "1986"} @article {E27, author = "{Eisenstat, S. C.} and {Elman, H. C.} and {Schultz, M. H.}", title = "Variational Iterative Methods for Nonsymmetric Systems of Linear Equations", journal = "SIAM J. Numer. Anal.", volume = "20", pages = "345--357", year = "1983"} @article {E28, author = "{Eisenstat, S. C.}", title = "Efficient Implementation of a Class of Preconditioned Conjugate Gradient Methods", journal = "SIAM J. Sci. and Stat. Comput.", volume = "2", pages = "1--4", year = "1981"} @inproceedings {E29, author = "{Evans, D. J.}", title = "On the Numerical Solution of Sparse Systems of Finite Element Equations", editor = "{Whiteman, J.}", booktitle = "The Mathematics of Finite Elements \& Applications -- {III}, Mafelap 1978 Conference Proceedings", publisher = "Academic Press", pages = "448--458", year = "1979"} @incollection {E30, author = "{Eisenstat, S. C.} and {Schultz, M. H.} and {Sherman, A. H.}", title = "Considerations in the Design of Software for Sparse {Gaussian} Elimination", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", publisher = "Academic Press", year = "1976"} @incollection {E31, author = "{Eisenstat, S. C.} and {Schultz, M. H.} and {Sherman, A. H.}", title = "Application of Sparse Matrix Methods to Partial Differential Equations", editor = "{Vichnevetsky, R.}", booktitle = "Proc. {AICA} International Symposium on Computer Methods for Partial Differential Equations, Bethlehem", pages = "40--45", publisher = "Prentice-Hall", year = "1975"} @techreport {E32, author = "{Eisenstat, S. C.} and {Schultz, M. H.} and {Sherman, A. H.}", title = "Subroutines for the Efficient Implementation of Sparse {Gaussian} Elimination", type = "{Tech. Report}", institution = "Yale Univ.", year = ""} @techreport {E33, author = "{Eisenstat, S. C.}", title = "Complexity Bounds for {Gaussian} Elimination", type = "{Tech. Report}", institution = "Yale Univ.", year = ""} @techreport {E34, author = "{Eisenstat, S. C.} and {Schultz, M. H.} and {Sherman, A. H.}", title = "Minimal Storage Band Elimination", type = "{Tech. Report}", institution = "Yale Univ.", year = ""} @techreport {E35, author = "{Eisenstat, S. C.} and {Schultz, M. H.} and {Sherman, A. H.}", title = "Minimal Storage Sparse Elimination", type = "{Tech. Report}", institution = "Yale Univ.", year = ""} @book {E36, editor = "{Evans, D. J.}", title = "Software for Numerical Mathematics", publisher = "Academic Press", year = "1974"} @article {E37, author = "{Evans, D. J.}", title = "The Extrapolated Modified {Aitken} Iteration Method for Solving Elliptic Difference Equations", journal = "Computing J.", volume = "6", pages = "193--201", year = "1963"} @article {E38, author = "{Estrin, G.} and {Bussel, B.} and {Turn, R.} and {Bibb, J.}", title = "Parallel Processing on a Restructurable Computer System", journal = "IEEE Trans. Electronic Computers", volume = "EC-12", pages = "747--754", year = "1963"} @article {E39, author = "{Estrin, G.} and {Turn, R.}", title = "Automatic Assignment of Computations in a Variable Structure Computer System", journal = "IEEE Trans. Electronic Computers", volume = "EC-12", pages = "755--773", year = "1963"} @article {E40, author = "{Elmaghraby, S. E.}", title = "An Algebra for the Analysis of Generalized Activity Networks", journal = "Management Science", volume = "10", pages = "494--514", year = "1964"} @article {E41, author = "{Edelmann, H.}", title = "Optimal Strategies for the Direct Solution of Systems of Linear Equations with Sparse Coefficient Matrices", journal = "Math. Mech.", volume = "45", pages = "T13--T18", year = "1965"} @article {E42, author = "{Elliot, D. L.}", title = "A Note on Systems of Linear Equations", journal = "SIAM Review", volume = "3", pages = "66--69", year = "1961"} @techreport {E43, author = "{Eisenstat, S. C.} and {Gursky, M. C.} and {Schultz, M. H.} and {Sherman, A. H.}", title = "{Y}ale {S}parse {M}atrix {P}ackage ({YSMP}) -- {II}~: {The} Non-Symmetric Codes", type = "{Tech. Report}", number = "114", institution = "Dept. of Computer Science, Yale Univ.", year = "1977"} @techreport {E44, author = "{Eisenstat, S. C.}", title = "An Implementation of the Minimum Degree Algorithm", type = "{Tech. Report}", institution = "Yale Univ.", year = ""} @incollection {E45, author = "{Eisenstat, S. C.} and {Schultz, M. H.} and {Sherman, A. H.}", title = "The Application of Sparse Matrix Methods to the Numerical Solution of Nonlinear Elliptic Partial Differential Equations", editor = "{Dold, A.} and {Eckmann, B.}", booktitle = "Proc. of the Symposium on Constructive and Computational Methods for Differential Equations", publisher = "Springer-Verlag", year = "1974"} @techreport {E46, author = "{Eve, J.}", title = "On Computing the Transitive Closure of a Relation", type = "{Tech. Report}", number = "STAN-CS-75-508", institution = "Computer Science Dept., Stanford Univ.", year = "1975"} @incollection {E47, author = "{Erisman, A. M.}", title = "Sparse Matrix Approach to Frequency Domain Analysis of Linear Passive Electrical Networks", editor = "{Rose, D. J.} and {Willoughby, R. A.}", booktitle = "Sparse Matrices and Their Applications", pages = "31--40", publisher = "Plenum Press", address = "New York", year = "1972"} @incollection {E48, author = "{Eisenstat, S. C.} and {Schultz, M. H.} and {Sherman, A. H.}", title = "The Application of Sparse Matrix Methods to the Numerical Solution of Nonlinear Elliptic Partial Differential Equations", editor = "{Dold, A.} and {Eckmann, B.}", booktitle = "Proc. of the Symposium on Constructive and Computational Methods for Differential Equations", pages = "131--153", publisher = "Springer-Verlag", year = "1974"} @article {E49, author = "{Eufinger, J.}", title = "Operations on Directed Graphs", journal = "J. Reine Angew Math.", volume = "247", pages = "146--154", year = "1971"} @techreport {E50, author = "{Even, S.} and {Kariv, O.}", title = "An ${O}(n^{5/2})$ Algorithm for Maximum Matching in General Graphs", type = "{Tech. Report}", institution = "Weizmann Institute", address = "Israel", year = "1975"} @article {E51, author = "{Erisman, A. M.} and {Grimes, R. G.} and {Lewis, J. G.} and {Poole, W. G. Jr.}", title = "A Structurally Stable Modification of {Hellerman-Rarick's} ${P}^4$ Algorithm for Reordering Unsymmetric Sparse Matrices", journal = "SIAM J. Numer. Anal.", volume = "22", pages = "369--385", year = "1985"} @article {E52, author = "{Everstine, G. C.}", title = "A Comparison of Three Resequencing Algorithms for the Reduction of Matrix Profile and Wavefront", journal = "Int. J. Numer. Meth. Eng.", volume = "14", pages = "837--853", year = "1979"} @book {E53, author = "{Eisenhart, L.}", title = "{Riemannian} Geometry", publisher = "Princeton University Press", year = "1925"} @techreport {E54, author = "{Eckstein, J.} and {Qi, R.} and {Ragulin, V. I.} and {Zenios, S. A.}", title = "Data Parallel Implementations of Dense Linear Programming Algorithms", type = "{Tech. Report}", number = "TMC-230", institution = "Thinking Machines Corp.", address = "Cambridge, MA", note = "({Also available as Decision Sciences Dept. Report 92-05-06, The Warton School, Univ. of Pennsylvania})", year = "1992"} @article {E55, author = "{Elman, H.}", title = "A Stability Analysis of Incomplete {LU} Factorization", journal = "Math. of Computation", volume = "47", pages = "191--218", year = "1986"} @article {E56, author = "{Eisenstat, S. C.} and {Liu, J. W. H.}", title = "Exploiting Structural Symmetry in a Sparse Partial Pivoting Code", journal = "SIAM J. Sci. and Stat. Comput.", volume = "14", pages = "253--257", note = "({Presented at $4^th$ SIAM Conference on Applied Linear Algebra, Minneapolis, 1991})", year = "1993"} % (F) ........................................................................ @book {F1, author = "{Forsythe, G. E.} and {Moler, C. B.}", title = "Computer Solution of Linear Algebraic Systems", publisher = "Prentice-Hall", year = "1967"} @book {F2, author = "{Forsythe, G. E.} and {Malcolm, M. A.} and {Moler, C. B.}", title = "Computer Methods for Mathematical Computations", publisher = "Prentice-Hall", year = "1977"} @article {F3, author = "{Fletcher, R.} and {Powell, M. J. D.}", title = "On the Modification of ${LDL}^{T}$ Factorizations", journal = "Math. of Computation", volume = "28", number = "128", pages = "1067--1087", year = "1974"} @book {F4, author = "{Fletcher, R.}", title = "Practical Methods of Optimization, volume {1}~: Unconstrained Optimization", publisher = "John Wiley \& Sons", year = "1980"} @book {F5, author = "{Fletcher, R.}", title = "Practical Methods of Optimization, volume {2}~: Constrained Optimization", publisher = "John Wiley \& Sons", year = "1981"} @techreport {F6, author = "{Fox, G. C.} and others", title = "{FORTRAN} {D} {L}anguage Specification", type = "{Tech. Report}", number = "TR-90-141", institution = "Computer Science Dept., Rice Univ.", year = "1990"} @book {F7, author = "{Fike, C. T.}", title = "Computer Evaluation of Mathematical Functions", publisher = "Prentice-Hall", year = "1968"} @book {F8, author = "{Fr{\"o}berg, C. E.}", title = "Introduction to Numerical Analysis", edition = "$2^{nd}$", publisher = "Addison-Wesley", year = "1969"} @book {F9, author = "{Faddeev, D. K.} and {Faddeeva, V. H.}", title = "Computational Methods of Linear Algebra", publisher = "Freeman \& Co.", note = "({Translated from the Russian original})", year = "1963"} @book {F10, author = "{Faddeeva, V. H.}", title = "Computational Methods of Linear Algebra", publisher = "Dover Publications", note = "({Translated from the 1950 Russian edition})", year = "1959"} @book {F11, author = "{Forsythe, G. E.} and {Wasow, W. R.}", title = "Finite Difference Methods for Partial Differential Equations", publisher = "John Wiley \& Sons", year = "1960"} @book {F12, editor = "{Feuer, A. R.} and {Gehani, N.}", title = "Comparing and Assessing Programming Languages {ADA}, {C}, and {PASCAL}", publisher = "Prentice-Hall", year = "1984"} @article {F13, author = "{Fischer, H.} and {Ritter, K.}", title = "An Asynchronous Parallel {Newton} Method", journal = "Math. Programming", volume = "42", number = "2", pages = "363--374", year = "1988"} @techreport {F14, author = "{Forrest, J. J. H.} and {Tomlin, J. A.}", title = "Vector Processing in Simplex and Interior Methods for Linear Programming", type = "{Tech. Report}", number = "RJ-6390-62372", institution = "{IBM} Thomas J. Watson Research Center", address = "Yorktown Heights", year = "1988"} @article {F15, author = "{Forrest, J. J. H.} and {Tomlin, J. A.}", title = "Vector Processing in Simplex and Interior Methods for Linear Programming", journal = "Annals of Oper. Res.", volume = "22", pages = "71--100", year = "1990"} @book {F16, author = "{Fiacco, A. V.} and {McCormick, G. P.}", title = "Nonlinear Programming~: {S}equential {U}nconstrained {M}inimization {T}echniques", publisher = "John Wiley \& Sons", note = "(Republished by {SIAM Publications, 1990})", year = "1968"} @article {F17, author = "{Forrest, J. J. H.} and {Tomlin, J. A.}", title = "Updating Triangular Factors of the Basis to Maintain Sparsity in the Product-Form Simplex Method", journal = "Math. Programming", volume = "2", pages = "263--278", year = "1972"} @article {F18, author = "{Forrest, J. J. H.} and {Goldfarb, D.}", title = "Steepest-Edge Simplex Algorithms for Linear Programming", journal = "Math. Programming", volume = "57", pages = "341--374", year = "1992"} @unpublished {F19, author = "{Forrest, J. J. H.} and {Tomlin, J. A.}", title = "What Makes a Linear Programming Difficult~?", note = "(Presented at {ORSA/TIMS Joint National Meeting, San Francisco})", year = "1992"} @techreport {F20, author = "{Fourer, R.} and {Mehrotra, S.}", title = "Solving Symmetric Indefinite Systems in an Interior Point Method for Linear Programming", type = "{Tech. Report}", number = "92-01", institution = "Dept. of Industrial Eng. and Manag. Sciences, Northwestern Univ.", address = "Evanston", year = "1992"} @article {F21, author = "{Fourer, R.} and {Mehrotra, S.}", title = "Performance of an Augmented System Approach for Solving Least-Squares Problems in an Interior Point Method", journal = "COAL Newsletter", volume = "19", pages = "26--31", year = "1991"} @techreport {F22, author = "{Forsgren, A. L.} and {Murray, W.}", title = "{Newton} Methods for Large-Scale Linear Equality-Constrained Minimization", type = "{Tech. Report}", number = "SOL-90-6", institution = "Dept. of Oper. Research, Stanford Univ.", year = "1990"} @book {F23, author = "{Franck, H.} and {Fisch, I. T.}", title = "Communications, Transmission and Transportation Networks", publisher = "Addison-Wesley", year = "1971"} @book {F24, editor = "{Fosdick, L. D.}", title = "Performance Evaluation of Numerical Software", publisher = "North-Holland", year = "1979"} @book {F25, author = "{Fox, G. C.} and {Johnson, M. A.} and {Lyzenga, G. A.} and {Otto, G. A.} and {Salomon, J. K.} and {Walker, D. W.}", title = "Solving Problems on Concurrent Processors", publisher = "Prentice-Hall", year = "1988"} @book {F26, editor = "{Fletcher, R.}", title = "Optimization", publisher = "Academic Press", year = "1969"} @techreport {F27, author = "{Frisch, K.}", title = "The Logarithmic Potential Method of Convex Programming", type = "{Internal Memorandum}", institution = "University Institute of Economics", address = "Olso", year = "1989"} @article {F28, author = "{Floyd, R. W.}", title = "Algorithm 96~: {Ancestor}", journal = "Comm. ACM", volume = "5", pages = "344--345", year = "1962"} @article {F29, author = "{Floyd, R. W.}", title = "Algorithm 97~: {Shortest Path}", journal = "Comm. ACM", volume = "5", pages = "345", year = "1962"} @article {F30, author = "{Floyd, R. W.}", title = "Algorithm 245~: {Treesort} 3", journal = "Comm. ACM", volume = "7", pages = "701", year = "1964"} @article {F31, author = "{Ford, L. R.} and {Fulkerson, D. R.}", title = "Maximal Flow Through a Network", journal = "Canadian J. Math.", volume = "8", pages = "399--404", year = "1956"} @book {F32, author = "{Ford, L. R.} and {Fulkerson, D. R.}", title = "Flows in Networks", publisher = "Princeton Univ. Press", year = "1962"} @incollection {F33, author = "{Fiedler, M.}", title = "Inversion of Bigraphs and Connection with the Gauss Elimination", booktitle = "Graphs, Hypergraphs, and Block Systems", pages = "57--68", publisher = "Zielona Gora", address = "Czechoslovakia", year = "1976"} @article {F34, author = "{Fiedler, M.}", title = "Algebraic Connectivity of Graphs", journal = "Czech. Math. J.", volume = "23", pages = "298--305", year = "1973"} @article {F35, author = "{Fiedler, M.}", title = "A Property of Eigenvectors of Non-negative Symmetric Matrices and its Application to Graph Theory", journal = "Czech. Math. J.", volume = "25", pages = "619--633", year = "1975"} @book {F36, author = "{Fox, L.}", title = "An Introduction to Numerical Linear Algebra", publisher = "Oxford University Press", year = "1965"} @article {F37, author = "{Fellipa, C. A.}", title = "Solution of Linear Equations with Skyline-stored Symmetric Matrix", journal = "Computer and Structures", volume = "5", pages = "13--29", year = "1975"} @article {F38, author = "{Flynn, M.}", title = "Very High Speed Computing Systems", journal = "Proc. of the IEEE", volume = "54", pages = "1901--1909", year = "1966"} @article {F39, author = "{Forsythe, G. E.} and {Strauss, E. G.}", title = "On Best Conditioned Matrices", journal = "Proc. of the AMS", volume = "6", pages = "340--345", year = "1955"} @article {F40, author = "{Feo, J.}", title = "An Analysis of the Computational and Parallel Complexity of the {Livermore} Loops", journal = "Parallel Computing", volume = "7", pages = "163--186", year = "1988"} @article {F41, author = "{Fisher, J. A.}", title = "Trace Scheduling~: {A} Technique for Global Microcode Compaction", journal = "IEEE Trans. Comput.", volume = "C-30", number = "7", pages = "478--490", year = "1981"} @inproceedings {F42, author = "{Fisher, J. A.}", title = "Very Long Instruction Word Architectures and {ELI-512}", booktitle = "Proc. $10^{th}$ Symposium on Computer Architecture", pages = "140--150", address = "Stockholm", year = "1983"} @article {F43, author = "{Farkas, J.}", title = "Theorie der Einfachen {Ungleichungen}", journal = "Journal f{\"u}r die reine und angewandte Mathematik", volume = "124", pages = "1--27", year = "1902"} @article {F44, author = "{Fourier, J. B. J.}", title = "Solution d'une Question Particuli\`ere du Calcul des In\'egalit\'es", journal = "Noveau Bulletin des Sciences par la Soci\'et\'e Philomathique de Paris", pages = "99--100", year = "1826"} @article {F45, author = "{Forsythe, G. E.}", title = "Today's Computational Methods of Linear Algebra", journal = "SIAM Review", volume = "9", pages = "489--515", year = "1967"} @book {F46, author = "{Fenves, S. J.}", title = "Computer Methods in Civil Engineering", publisher = "Prentice-Hall", year = "1967"} @article {F47, author = "{Fenves, S. J.} and {Branin, F. H. Jr.}", title = "A Network-topological Formulation of Structural Analysis", journal = "J. Amer. Soc. Civil Engrs., Structural Division", volume = "89", pages = "483--514", year = "1963"} @article {F48, author = "{Feingold, D. G.} and {Varga, R. S.}", title = "Block Diagonally Dominant Matrices and Generalizations of the {Gerschgorin} Circle", journal = "Pacific J. Math.", volume = "12", pages = "1241--1250", year = "1963"} @book {F49, editor = "{Fox, L.}", title = "Numerical Solution of Ordinary and Partial Differential Equations", publisher = "Addison-Wesley", year = "1962"} @article {F50, author = "{Fulkerson, D. R.} and {Wolfe, P.}", title = "An Algorithm for Scaling Matrices", journal = "SIAM Review", volume = "4", pages = "142--146", year = "1962"} @article {F51, author = "{Forsythe, G. E.}", title = "Algorithm 16~: {Crout} with Pivoting", journal = "Comm. ACM", volume = "3", pages = "507--508", year = "1960"} @article {F52, author = "{Fox, B. L.}", title = "Accelerating {LP} Algorithms", journal = "Comm. ACM", volume = "12", pages = "384--385", year = "1969"} @article {F53, author = "{Falkoff, A. D.}", title = "Algorithms for Parallel Search Memories", journal = "J. ACM", volume = "9", pages = "488--501", year = "1962"} @techreport {F54, author = "{Fenves, S. J.}", title = "{STRESS}~: {Structural} {E}ngineering {S}ystem {S}olver, {A} Computer Programming System for Structural Engineering Problems", type = "{Tech. Report}", number = "T-63-2", institution = "MIT", year = "1963"} @article {F55, author = "{Ford, B.}", title = "Parameterization of the Environment for Transportable Numerical Software", journal = "ACM Trans. Math. Software", volume = "4", number = "2", pages = "100--103", year = "1978"} @article {F56, author = "{Fletcher, R.} and {Powell, M. J. D.}", title = "A Rapidly Convergent Descent Method for Minimization", journal = "Computing J.", volume = "6", pages = "163--168", year = "1965"} @book {F57, author = "{Frazer, R. A.} and {Duncan, W. J.} and {Collar, A. R.}", title = "Elementary Matrices", publisher = "Cambridge", year = "1950"} @book {F58, author = "{Fortet, R.}", title = "Alg\`ebre des Tenseurs et des Matrices, Probl\`emes de Valeurs Propres", publisher = "", year = ""} @article {F59, author = "{Federenko, R. P.}", title = "A Relaxation Method for Solving Elliptic Difference Equations", journal = "USSR Comp. Math. and Math. Phys.", volume = "4", pages = "1092", note = "(Originally published at {Zh. Vych. Mat., 1:922--927, 1961})", year = "1961"} @book {F60, editor = "{Fenves, S. J.} and {Perrone, N.} and {Robinson, A. R.} and {Schnobrich, W. C.}", title = "Numerical and Computer Methods in Structural Mechanics", publisher = "Academic Press", year = "1973"} @incollection {F61, author = "{Felippa, C. A.} and {Clough, R. W.}", title = "The Finite Element Method in Solid Mechanics", editor = "{Birkhoff, G.} and {Varga, R. S.}", booktitle = "Numerical Solution of Field Problems in Continuum Physics", pages = "210--252", publisher = "American Math. Soc.", address = "Providence", year = "1970"} @proceedings {F62, editor = "{Freiman, C. V.}", title = "Information Processing 71, Proc. {IFIP} Congress", address = "Ljubljana", publisher = "North-Holland", year = "1972"} @article {F63, author = "{Fenichel, R. R.} and {Yochelson, J. C.}", title = "A {LISP} Garbage-Collector for Virtual Memory Computer Systems", journal = "Comm. ACM", volume = "12", pages = "611--612", year = "1969"} @book {F64, author = "{Fosdick, L. D.} and {Jessup, E. R.} and {Schauble, C. J. C.} and {Domik, G.}", title = "An Introduction to High-Performance Scientific Computing", publisher = "MIT Press", year = "1995"} @article {F65, author = "{Faybusovich, L.}", title = "Hamiltonian Structure of Dynamical Systems which Solve Linear Programming Problems", journal = "Physics", volume = "D53", pages = "217--232", year = "1991"} % (G) ........................................................................ @article {G1, author = "{Gay, D. M.}", title = "Massive Memory Buys Little Speed for Complete In-Core Sparse {Cholesky} Factorizations on Some Scalar Computers", journal = "Lin. Alg. Appl.", volume = "152", pages = "291--314", year = "1991"} @article {G2, author = "{George, A.} and {Liu, J. W. H.}", title = "The Evolution of the Minimum Degree Ordering Algorithm", journal = "SIAM Review", volume = "31", number = "1", pages = "1--19", year = "1989"} @article {G3, author = "{George, A.} and {Liu, J. W. H.}", title = "An Optimal Algorithm for Symbolic Factorization of Symmetric Matrices", journal = "SIAM J. Comput.", volume = "9", number = "3", pages = "583--593", year = "1980"} @article {G4, author = "{George, A.} and {Ng, E.}", title = "Symbolic Factorization for Sparse {Gaussian} Elimination with Partial Pivoting", journal = "SIAM J. Sci. and Stat. Comput.", volume = "8", number = "6", pages = "877--898", year = "1987"} @book {G5, author = "{George, A.} and {Liu, J. W. H.}", title = "Computer Solution of Large Positive Definite Systems", publisher = "Prentice-Hall", year = "1981"} @article {G6, author = "{George, A.} and {Liu, J. W. H.}", title = "An Implementation of a Pseudoperipheral Node Finder", journal = "ACM Trans. Math. Software", volume = "5", number = "3", pages = "284--295", year = "1979"} @article {G7, author = "{George, A.} and {Liu, J. W. H.}", title = "Some Results and Notes on Fill for Sparse Matrices", journal = "SIAM J. Numer. Anal.", volume = "12", number = "3", pages = "452--455", year = "1975"} @article {G8, author = "{George, A.} and {Liu J. W. H.}", title = "A Minimal Storage Implementation of the Minimum Degree Algorithm", journal = "SIAM J. Numer. Anal.", volume = "17", number = "2", pages = "282--299", year = "1980"} @article {G9, author = "{George, A.} and {Liu, J. W. H.}", title = "A Fast Implementation of the Minimum Degree Algorithm Using Quotient Graphs", journal = "ACM Trans. Math. Software", volume = "6", number = "3", pages = "337--358", year = "1980"} @article {G10, author = "{George, A.} and {Liu, J. W. H.}", title = "The Design of a User Interface for a Sparse Matrix Package", journal = "ACM Trans. Math. Software", volume = "5", number = "2", pages = "139--162", year = "1979"} @article {G11, author = "{George, A.} and {Rashwan, H.}", title = "Auxiliary Storage Methods for Solving Finite Element Systems", journal = "SIAM J. Sci. and Stat. Comput.", volume = "6", number = "4", pages = "882--910", year = "1985"} @article {G12, author = "{George, A.} and {Ng, E.}", title = "An Implementation of {Gaussian} Elimination with Partial Pivoting for Sparse Systems", journal = "SIAM J. Sci. and Stat. Comput.", volume = "6", number = "2", pages = "390--409", year = "1985"} @article {G13, author = "{George, A.} and {Heath, M. T.} and {Ng, E.}", title = "Solution of Sparse Undetermined Systems of Linear Equations", journal = "SIAM J. Sci. and Stat. Comput.", volume = "5", number = "4", pages = "988--997", year = "1984"} @article {G14, author = "{Gustavson, F. G.} and {Liniger, W. M.} and {Willoughby, R. A.}", title = "Symbolic Generation of an Optimal {Crout} Algorithm for Sparse Systems of Linear Equations", journal = "J. ACM", volume = "17", number = "1", pages = "87--109", note = "({Originally as Tech. Report RC-1852, IBM Research Center, Yorktown Heights, New York, June 27, 1967. Presented at Sparse Matrix Proceedings, IBM Thomas Watson Research Center, pp. 1--9, September 1968})", year = "1970"} @incollection {G15, author = "{Gustavson, F. G.}", title = "Some Basic Techniques for Solving Sparse Systems of Linear Equations", editor = "{Rose, D. J.} and {Willoughby, R. A.}", booktitle = "Sparse Matrices and Their Applications", pages = "41--52", publisher = "Plenum Press", address = "New York", year = "1972"} @article {G16, author = "{Gustavson, F. G.}", title = "Two Fast Algorithms for Sparse Matrices~: {Multiplication} and Permuted Transposition", journal = "ACM Trans. Math. Software", volume = "4", number = "3", pages = "250--269", year = "1978"} @article {G17, author = "{Gustavson, F. G.}", title = "Permuting Matrices Stored in Sparse Format", journal = "IBM Tech. Discl. Bull.", volume = "16", pages = "357--359", note = "(Disclosure 8-72-001)", year = "1976"} @incollection {G18, author = "{Gustavson, F. G.}", title = "Finding the Block Lower Triangular Form of a Sparse Matrix", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", pages = "275--289", publisher = "Academic Press", year = "1976"} @inproceedings {G19, author = "{Gustavson, F. G.}", title = "An Efficient Algorithm to Perform Sparse Matrix Multiplication", booktitle = "{A}rgonne Conference on Sparse Matrix Computations", organization = "Argonne National Laboratory", note = "({Report RC-6176, IBM T. J. Watson Research Center})", year = "1976"} @incollection {G20, author = "{Gentleman, W. M.} and {George, A.}", title = "Sparse Matrix Software", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", publisher = "Academic Press", address = "New York", year = "1976"} @article {G21, author = "{Gilbert, J. R.} and {Peierls, T.}", title = "Sparse Partial Pivoting in Time Proportional to Arithmetic Operations", journal = "SIAM J. Sci. and Stat. Comput.", volume = "9", number = "5", pages = "862--874", year = "1988"} @techreport {G22, author = "{Gilbert, J. R.}", title = "Predicting Structure in Sparse Matrix Computations", type = "{Tech. Report}", number = "CS-86-750", institution = "Cornell Univ.", address = "Ithaca", year = "1986"} @techreport {G23, author = "{Gilbert, J. R.} and {Schreiber, R.}", title = "Highly Parallel Sparse {Cholesky} Factorization", type = "{Tech. Report}", number = "CSL-90-07", institution = "XEROX Palo Alto Research Center", note = "(To be published at {SIAM J. Sci. and Stat. Comput.})", year = "1990"} @techreport {G24, author = "{Gilbert, J. R.}", title = "An Efficient Parallel Sparse Partial Pivoting Algorithm", type = "{Tech. Report}", number = "CMI-88-45052-1", institution = "Centre for Computer Science, Dept. of Science and Technology, Christian Michelsen Institute", address = "Bergen, Norway", year = "1988"} @article {G25, author = "{Gilbert, J. R.} and {Hafsteinsson, H.}", title = "Parallel Symbolic Factorization of Sparse Linear Systems", journal = "Parallel Computing", volume = "14", pages = "151--162", year = "1990"} @techreport {G26, author = "{Gilbert, J. R.}", title = "Some Nested Dissection Order is Nearly Optimal", type = "{Tech. Report}", number = "86-767", institution = "Dept. of Computer Science, Cornell Univ.", year = "1986"} @article {G27, author = "{Gomez, A.} and {Franquelo, L. G.}", title = "Node Ordering Algorithms for Sparse Vector Method Improvement", journal = "IEEE Trans. Power Systems", volume = "PWRS-3", number = "1", pages = "73--79", year = "1988"} @article {G28, author = "{Gomez, A.} and {Franquelo, L. G.}", title = "An Efficient Ordering Algorithm to Improve Sparse Vector Methods", journal = "IEEE Trans. Power Systems", volume = "PWRS-3", number = "4", pages = "1538--1544", year = "1988"} @article {G29, author = "{Geist, G. A.} and {Ng, E.}", title = "Task Scheduling for Parallel Sparse {Cholesky} Factorization", journal = "Int. J. of Parallel Programming", volume = "18", number = "4", pages = "291--314", year = "1989"} @book {G30, author = "{Gallivan, K. A.} and {Heath, M. T.} and {Ng, E.} and {Ortega, J.} and {Peyton, B.} and {Plemmons, R.} and {Romine, C.} and {Sameh, A.} and {Voigt, R.}", title = "Parallel Algorithms for Matrix Computations", publisher = "SIAM Publications", year = "1990"} @article {G31, author = "{Gallivan, K. A.} and {Plemmons, R. J.} and {Sameh, A. H.}", title = "Parallel Algorithms for Dense Linear Algebra Computations", journal = "SIAM Review", volume = "32", number = "1", pages = "54--135", year = "1990"} @book {G32, author = "{Gill, P. E.} and {Murray, W.} and {Wright, M. H.}", title = "Numerical Linear Algebra and Optimization, volume {1}", publisher = "Addison-Wesley", year = "1991"} @article {G33, author = "{Gill, P. E.} and {Murray, W.} and {Saunders, M. A.} and {Wright, M. H.}", title = "Sparse Matrix Methods in Optimization", journal = "SIAM J. Sci. and Stat. Comput.", volume = "5", pages = "562--589", year = "1984"} @article {G34, author = "{Gill, P. E.} and {Golub, G. H.} and {Murray, W.} and {Saunders, M. A.}", title = "Methods for Modifying Matrix Factorizations", journal = "Math. of Computation", volume = "28", number = "126", pages = "505--535", year = "1974"} @book {G35, author = "{Gill, P. E.} and {Murray, W.} and {Wright, M. H.}", title = "Practical Optimization", publisher = "Academic Press", year = "1981"} @article {G36, author = "{Gomes-Ruggiero, M.} and {Mart\'\i nez, J.} and {Moretti, A.}", title = "Comparing Algorithms for Solving Sparse Nonlinear Systems of Equations", journal = "SIAM J. Sci. and Stat. Comput.", volume = "13", number = "2", pages = "459--483", year = "1992"} @book {G37, author = "{Gibbons, A.} and {Rytter, W.}", title = "Efficient Parallel Algorithms", publisher = "Cambridge University Press", year = "1988"} @book {G38, author = "{Golub, G. H.} and {Meurant, G. A.}", title = "R\'esolution Num\'erique des Grands Syst\`emes Lin\'eaires", publisher = "Eyrolles", address = "Paris", year = "1983"} @book {G39, author = "{Golub, G. H.} and {Van Loan, C. F.}", title = "Matrix Computations", edition = "$2^{nd}$", publisher = "Johns Hopkins University Press", address = "Baltimore", year = "1989"} @article {G40, author = "{Golub, G. H.} and {O'Leary, D. P.}", title = "Some History of the Conjugate Gradient and {Lanczos} Algorithms~: 1948-1976", journal = "SIAM Review", volume = "31", number = "1", pages = "50--102", year = "1989"} @article {G41, author = "{Goldfarb, D.}", title = "Factorized Variable Metric Methods for Unconstrained Optimization", journal = "Math. of Computation", volume = "30", number = "136", pages = "796--811", year = "1976"} @book {G42, author = "{Garey, M. R.} and {Johnson, D. S.}", title = "Computers and Intractability~: A Guide to the Theory of {NP-Completeness}", publisher = "Freeman \& Co.", year = "1979"} @book {G43, author = "{Gondran, M.} and {Minoux, M.}", title = "Graphs and Algorithms", publisher = "John Wiley \& Sons", year = "1984"} @article {G44, author = "{Gay, D. M.}", title = "Electronic Mail Distribution of Linear Programming Test Problems", journal = "Mathematical Programming Society Committee on Algorithms Newsletter", volume = "13", year = "1985"} @article {G45, author = "{Grosse, E.}", title = "{NETLIB} {N}ews~: {Greetings}", journal = "SIAM News", volume = "23", number = "6", pages = "14", year = "1990"} @article {G46, author = "{Grosse, E.}", title = "{NETLIB} {N}ews~: {Searching} for Files", journal = "SIAM News", volume = "25", number = "4", pages = "10", year = "1992"} @article {G47, author = "{Gilbert, J. R.} and {Schreiber, R.}", title = "Highly Parallel Sparse {Cholesky} Factorization", journal = "SIAM J. Sci. and Stat. Comput.", volume = "13", number = "5", pages = "1151--1172", year = "1992"} @book {G48, author = "{Gonnet, G. H.}", title = "Handbook of Algorithms and Data Structures", publisher = "Addison-Wesley", year = "1984"} @article {G49, author = "{Griss, M. L}", title = "The Algebraic Solution of Large Sparse Systems using {REDUCE-2}", journal = "Proc. of the ACM", volume = "74", pages = "105--111", year = "1974"} @techreport {G50, author = "{Golub, G. H.} and {Klema, V.} and {Stewart, G. W.}", title = "Rank Degeneracy and Least Squares Problems", type = "{Tech. Report}", number = "TR-456", institution = "Dept. of Computer Science, Univ. of Maryland", year = "1976"} @book {G51, author = "{Golumbic, M. C.}", title = "Algorithmic Graph Theory and Perfect Graphs", publisher = "Academic Press", year = "1980"} @incollection {G52, author = "{Geist, G. A.} and {Heath, M. T.}", title = "Matrix Factorization on a Hypercube Multiprocessor", editor = "{Heath, M. T.}", booktitle = "Hypercube Multiprocessors 1986", pages = "161--180", publisher = "SIAM Publications", year = "1986"} @article {G53, author = "{George, A.} and {Heath, M. T.} and {Liu, J. W. H.} and {Ng, E.}", title = "Solution of Sparse Positive Definite Systems on a Shared Memory Multiprocessor", journal = "Int. J. of Parallel Programming", volume = "15", pages = "309--325", year = "1986"} @article {G54, author = "{George, A.} and {Heath, M. T.} and {Liu, J. W. H.} and {Ng, E.}", title = "Sparse {Cholesky} Factorization on a Local Memory Multiprocessor", journal = "SIAM J. Sci. and Stat. Comput.", volume = "9", pages = "327--340", year = "1988"} @article {G55, author = "{George, A.} and {Liu, J. W. H.} and {Ng, E.}", title = "Communication Results for Parallel Sparse {Cholesky} Factorization on a Hypercube", journal = "Parallel Computing", volume = "10", pages = "287--298", year = "1989"} @article {G56, author = "{George, A.} and {Heath, M. T.} and {Ng, E.} and {Liu, J. W. H.}", title = "Symbolic {Cholesky} Factorization on a Local-Memory Multiprocessor", journal = "Parallel Computing", volume = "5", pages = "85--95", year = "1987"} @article {G57, author = "{George, A.} and {Heath, M. T.} and {Liu, J. W. H.} and {Ng, E.}", title = "Solution of Sparse Positive Definite Systems on a Hypercube", journal = "J. Comput. Applied. Math", volume = "27", pages = "129--156", year = "1989"} @inproceedings {G58, author = "{George, A.} and {Liu, J. W. H.} and {Ng, E.}", title = "Communication Reduction in Parallel Sparse {Cholesky} Factorization", booktitle = "Proc. $2^{nd}$ Hypercube Conference", address = "Knoxville", year = "1986"} @article {G59, author = "{George, A.}", title = "Nested Dissection of a Regular Finite Element Mesh", journal = "SIAM J. Numer. Anal.", volume = "10", pages = "345--363", year = "1973"} @article {G60, author = "{George, A.} and {Liu, J. W. H.}", title = "An Automated Nested Dissection Algorithm for Irregular Finite Element Problems", journal = "SIAM J. Numer. Anal.", volume = "15", pages = "1053--1069", year = "1978"} @article {G61, author = "{George, A.} and {McIntyre, D.}", title = "On the Application of the Minimum Degree Algorithm to Finite Element Systems", journal = "SIAM J. Numer. Anal.", volume = "15", pages = "90--112", year = "1978"} @article {G62, author = "{Gavril, F.}", title = "Algorithms for Minimum Coloring, Maximum Clique, Minimum Covering by Cliques and Maximum Independent Set of a Chordal Graph", journal = "SIAM J. Comput.", volume = "1", pages = "180--187", year = "1972"} @article {G63, author = "{Gilbert, J. R.}", title = "Some Nested Dissection Order is Nearly Optimal", journal = "Inform. Process. Lett.", volume = "26", pages = "325--328", year = "1988"} @unpublished {G64, author = "{Gilbert, J. R.} and {Lewis, J. G.} and {Schreiber, R.}", title = "Parallel Preordering for Sparse Matrix Factorization", note = "({In preparation})", year = "1992"} @book {G65, author = "{Gradshteyn, I. S.} and {Ryzhik, I. M.}", title = "Table of Integrals Series and Products", edition = "$4^{th}$", note = "({Translated by Alan Jeffrey from the 1963 Russian edition})", publisher = "Academic Press", year = "1965"} @book {G66, author = "{Greene, D. H.} and {Knuth, D. E.}", title = "Mathematics for the Analysis of Algorithms", series = "Progress in Computer Science", note = "{Coffman, E.}, {Graham, R.} and {Kuck, D.}, eds.", publisher = "Birkh{\"a}user Verlag", year = "1981"} @book {G67, editor = "{Griewank, A.} and {Corliss, G. F.}", title = "Automatic Differentiation of Algorithms", publisher = "SIAM Publications", year = "1991"} @book {G68, author = "{Garfinkel, R. S.} and {Nemhauser, G. L.}", title = "Integer Programming", publisher = "John Wiley \& Sons", year = "1972"} @book {G69, author = "{Gear, C. W.}", title = "Numerical Initial Value Problems in Ordinary Differential Equations", publisher = "Prentice-Hall", year = "1971"} @article {G70, author = "{Grandinetti, L.} and {Conforti, D.}", title = "Numerical Comparisons of Nonlinear Programming Algorithms on Serial and Vector Processors using Automatic Differentiation", journal = "Math. Programming", volume = "42", number = "2", pages = "375--390", year = "1988"} @unpublished {G71, author = "{Gondzio, J.}", title = "Splitting Dense Columns of Constraint Matrix in Interior Point Methods for Large Scale Linear Programming", note = "(To be published at {Optimization})", year = "1991"} @techreport {G72, author = "{Gondzio, J.} and {Tachat, D.}", title = "The Design and Application of the {IPMLO}~: {A} {FORTRAN} Library for Linear Optimization with Interior Point Methods", type = "{Tech. Report}", institution = "{LAMSADE}, Univ. of Paris Dauphine", year = "1991"} @article {G73, author = "{Gill, P. E.} and {Murray, W.}", title = "{Newton} Type Methods for Unconstrained and Linearly Constrained Optimization", journal = "Math. Programming", volume = "28", pages = "311--350", year = "1974"} @article {G74, author = "{Gill, P. E.} and {Murray, W.} and {Saunders, M. A.} and {Tomlin, J. A.} and {Wright, M. H.}", title = "On Projected {Newton} Barrier Methods for Linear Programming and an Equivalence to {Karmarkar's} Projective Method", journal = "Math. Programming", volume = "36", pages = "183--209", year = "1986"} @article {G75, author = "{Gill, P. E.} and {Murray, W.} and {Saunders, M. A.} and {Wright, M. H.}", title = "A Practical Anti-Cycling Procedure for Linearly Constrained Optimization", journal = "Math. Programming", volume = "45", pages = "437--474", year = "1989"} @article {G76, author = "{George, J. A.} and {Heath, M. T.}", title = "Solution of Sparse Linear Least Squares Problems using {Givens} Rotations", journal = "Lin. Alg. Appl.", volume = "34", pages = "69--83", year = "1980"} @techreport {G77, author = "{Gill, P. E.} and {Murray, W.} and {Poncele\'on, D. B.} and {Saunders, M. A.}", title = "Primal-Dual Methods in Linear Programming", type = "{Tech. Report}", number = "SOL-91-3", institution = "Systems Optimization Laboratory, Stanford Univ.", year = "1991"} @techreport {G78, author = "{Gill, P. E.} and {Murray, W.} and {Poncele\'on, D. B.} and {Saunders, M. A.}", title = "Solving Reduced {KKT} Systems in Barrier Methods for Linear and Quadratic Programming", type = "{Tech. Report}", number = "SOL-91-7", institution = "Systems Optimization Laboratory, Stanford Univ.", year = "1991"} @article {G79, author = "{Gill, P. E.} and {Murray, W.} and {Poncele\'on, D. B.} and {Saunders, M. A.}", title = "Preconditioners for Indefinite Systems Arising in Optimization", journal = "SIAM J. Matrix Anal. and Appl.", volume = "13", number = "1", pages = "292--311", year = "1992"} @techreport {G80, author = "{Gill, P. E.} and {Murray, W.} and {Saunders, M. A.}", title = "A Single Phase Dual Barrier Method for Linear Programming", type = "{Tech. Report}", number = "SOL-88-10", institution = "Systems Optimization Laboratory, Stanford Univ.", year = "1988"} @article {G81, author = "{George, A.} and {Heath, M. T.} and {Liu, J. W. H.}", title = "Parallel {Cholesky} Factorization on a Shared Memory Multiprocessor", journal = "Lin. Alg. Appl.", volume = "77", pages = "165--187", year = "1986"} @article {G82, author = "{Gibbs, N. E.} and {Poole, W. G. Jr.} and {Stockmeyer, P. K.}", title = "An Algorithm for Reducing the Bandwidth and Profile of a Sparse Matrix", journal = "SIAM J. Numer. Anal.", volume = "13", pages = "236--250", year = "1976"} @article {G83, author = "{George, A.} and {Liu, J. W. H.}", title = "Algorithms for Matrix Partitioning and the Numerical Solution of Finite Element Systems", journal = "SIAM J. Numer. Anal.", volume = "15", pages = "297--327", year = "1978"} @incollection {G84, author = "{George, A.}", title = "Solution of Linear Systems of Equations~: {Direct} Methods for Finite Element Problems", editor = "{Barker, V. A.}", Booktitle = "Course in Advanced Sparse Matrix Techniques, volume 572 of Lecture Notes in Mathematics", pages = "52--101", publisher = "Springer-Verlag", year = "1977"} @incollection {G85, author = "{George, A.}", title = "An Automatic One-way Dissection Algorithm for Irregular Finite Element Problems", Booktitle = "Proc. 1977 Dundee Conference on Numerical Analysis, volume 630 of Lecture Notes in Mathematics", pages = "76--89", publisher = "Springer-Verlag", year = "1978"} @incollection {G86, author = "{George, A.}", title = "An Efficient Band-Oriented Scheme for Solving $n$ by $n$ Grid Problems", Booktitle = "Proc. 1972 {FJCC}", pages = "1317--1321", publisher = "AFIPS Press", address = "Montvale, New Jersey", year = "1977"} @incollection {G87, author = "{George, A.} and {Liu, J. W. H.}", title = "A Quotient Graph Model for Symmetric Factorization", editor = "{Duff, I. S.} and {Stewart, G. W.}", booktitle = "Sparse Matrix Proceedings 1978", publisher = "SIAM Publications", year = "1979"} @techreport {G88, author = "{Grimes, R. G.} and {Kincaid, D. R.} and {Young, D. M.}", title = "{ITPACK 2.0} ``{User's Guide}''", type = "{Tech. Report}", number = "CNA-150", institution = "Univ. of Texas", address = "Austin", year = "1979"} @article {G89, author = "{Gries, D.} and {Gehani, N. H.}", title = "Some Ideas on Data Types in High-Level Languages", journal = "Comm. ACM", volume = "20", number = "6", year = "1977"} @book {G90, editor = "{George, A.} and {Gilbert, J. R.} and {Liu, J. W. H.}", title = "Graph Theory and Sparse Matrix Computation", publisher = "Springer-Verlag", year = "1993"} @book {G91, author = "{Gr{\"o}tschel, M.} and {Lov\'asz, L.} and {Schrijver, A.}", title = "Geometric Algorithms and Combinatorial Optimization", publisher = "Springer-Verlag", year = "1988"} @manual {G92, author = "{Geist, G. A.} and {Benguelim, A.} and {Dongarra, J.} and {Jiang, J.} and {Manchek, R.} and {Sunderam, V.}", title = "{PVM 3.0} ``{User's Guide}'' and ``{Reference Manual}''", organization = "Oak Ridge National Laboratory", year = "1993"} @article {G93, author = "{Gustafson, J. L.} and {Montry, G. R.} and {Benner, R. E.}", title = "Development of Parallel Methods for a 1024-Processor Hypercube", journal = "SIAM J. Sci. and Stat. Comput.", volume = "9", number = "4", year = "1988"} @book {G94, author = "{Garcia, C. B.} and {Zangwill, W. I.}", title = "Pathways to Solutions, Fixed Points, and Equilibria", publisher = "Prentice-Hall", year = "1981"} @book {G95, editor = "{Gr{\"o}tschel, M.} and {Korte, B.}", title = "Mathematical Programming~: The State of the Art", publisher = "Springer-Verlag", year = "1983"} @book {G96, author = "{Gr{\"o}tschel, M.} and {Lov\'asz, L.} and {Schrijver, A.}", title = "The Ellipsoid Method and Combinatorial Optimization", publisher = "Springer-Verlag", year = "1988"} @article {G97, author = "{Gomes, A.} and {Betancourt, R.}", title = "Implementation of the Fast Decoupled Load-Flow on a Vector Computer", journal = "IEEE Trans. Power Systems", volume = "PWRS-5", number = "3", pages = "977--983", year = "1990"} @book {G98, author = "{Goldstein, A. A.}", title = "Constructive Real Analysis", publisher = "Harper \& Row", year = "1967"} @article {G99, author = "{Gay, D. M.}", title = "Computing Optimal Locally Constrained Steps", journal = "SIAM J. Sci. and Stat. Comput.", volume = "2", pages = "186--197", year = "1981"} @incollection {G100, author = "{Gay, D. M.}", title = "A Trust Region Approach to Linearly Constrained Optimization", editor = "{Griffiths, D. F.}", booktitle = "Numerical Analysis, {P}roc. Dundee 1983, volume 1066 of Lecture Notes in Mathematics", publisher = "Springer-Verlag", year = "1984"} @article {G101, author = "{Gill, P. E.} and {Murray, W.}", title = "The Computation of {Lagrange-multiplier} Estimates for Constrained Minimization", journal = "Math. Programming", volume = "17", pages = "32--60", year = "1979"} @techreport {G102, author = "{Granville, S.}", title = "Fluxo de Pot\^encia \'Otimo~: {Algoritmo} de Programa\c c\~ao Quadr\'atica Sequencial e M\'etodos de Lineariza\c c\~ao/Quadratiza\c c\~ao Sucessivas", type = "{Relat\'orio T\'ecnico}", number = "066", institution = "Centro de Pesquisas em Energia El\'etrica (CEPEL)", address = "Rio de Janeiro", year = "1989"} @techreport {G103, author = "{Gill, P. E.} and {Murray, W.} and {Saunders, M. A.} and {Wright, M. H.}", title = "``{User's Guide}'' for {SOL/NPSOL}~: {A} {FORTRAN} Package for Nonlinear Programming", type = "{Tech. Report}", number = "SOL-83-12", institution = "Systems Optimization Laboratory, Stanford Univ.", year = "1983"} @book {G104, author = "{Gehani, N.}", title = "{ADA}~: An Advanced Introduction", publisher = "Prentice-Hall", year = "1983"} @book {G105, author = "{Goodenough, J. B.}", title = "A Study of High Level Language Features~: Detailed Feature Analysis", publisher = "Softech Inc.", address = "Waltham, Massachusetts", year = "1976"} @book {G106, editor = "{Gries, D.}", title = "Programming Methodology", publisher = "Springer-Verlag", year = "1978"} @incollection {G107, author = "{Golden, B.} and {Stewart, W.}", title = "Empirical Analysis of Heuristics", editor = "{Lawler, E.} and {Lenstra, J.} and {Rinooy Kan, A.} and {Shimoys, D.}", booktitle = "The Travelling Salesman Problem", publisher = "John Wiley \& Sons", year = "1985"} @techreport {G108, author = "{Gill, P. E.} and {Murray, W.} and {Saunders, M. A.}", title = "Interior Point Algorithms for Linear Programming~: {A} Challenge to the Simplex Method", type = "{Tech. Report}", number = "SOL-88-14", institution = "Systems Optimization Laboratory, Stanford Univ.", year = "1988"} @article {G109, author = "{Gilbert, J. R.} and {Moler, C. B.} and {Schreiber, R.}", title = "Sparse Matrices in {MATLAB}~: {Design} and Implementation", journal = "SIAM J. Matrix Anal. and Appl.", volume = "13", number = "1", pages = "333--356", year = "1992"} @techreport {G110, author = "{Gilbert, J. R.} and {Moler, C. B.} and {Schreiber, R.}", title = "Sparse Matrices in {MATLAB}~: {Design} and Implementation", type = "{Tech. Report}", number = "CSL-91-04", institution = "XEROX Palo Alto Research Center", year = "1991"} @article {G111, author = "{Gilbert, J. R.} and {Ng, E.} and {Peyton, B. W.}", title = "An Efficient Algorithm to Compute Row and Column Counts for Sparse {Cholesky} Factorization", journal = "SIAM J. Matrix Anal. and Appl.", volume = "15", number = "4", pages = "1075--1091", year = "1994"} @article {G112, author = "{Gilbert, J. R.}", title = "Predicting Structure in Sparse Matrix Computations", journal = "SIAM J. Matrix Anal. and Appl.", volume = "15", number = "1", pages = "62--79", year = "1994"} @article {G113, author = "{Gilbert, J. R.} and {Peierls, T.}", title = "Sparse Partial Pivoting in Time Proportional to Arithmetic Operations", journal = "SIAM J. Sci. and Stat. Comput.", volume = "9", pages = "862--874", year = "1988"} @techreport {G114, author = "{Gilbert, J. R.} and {Liu, J. W. H.}", title = "Elimination Structures for Unsymmetric Sparse {LU} Factors", type = "{Tech. Report}", number = "CS-90-11", institution = "Dept. of Computer Science, York Univ.", address = "North York, Ontario", year = "1990"} @article {G115, author = "{Grimes, R. G.} and {Pierce, D. J.} and {Simon, H. D.}", title = "A New Algorithm for Finding a Pseudoperipheral Node in a Graph", journal = "SIAM J. Matrix Anal. and Appl.", volume = "11", number = "2", pages = "323--334", year = "1990"} @article {G116, author = "{Gabow, H. N.} and {Tarjan, R. E.}", title = "A Linear Time Algorithm for a Special Case of Disjoint Set Union", journal = "J. Comput. Syst. Sci.", volume = "30", pages = "209--221", year = "1985"} @inproceedings {G117, author = "{Gabow, H. N.} and {Tarjan, R. E.}", title = "A Linear Time Algorithm for a Special Case of Disjoint Set Union", booktitle = "Proc. $15^{th}$ Annual ACM Symposium on Theory of Computing", pages = "246--251", year = "1983"} @phdthesis {G118, author = "{Gabow, H. N.}", title = "Implementation of Algorithms for Maximum Matching on Nonbipartite Graphs", school = "Dept. of Electrical Eng., Stanford Univ.", year = "1973"} @article {G119, author = "{Gabow, H. N.}", title = "An Efficient Implementation of {Edmond's} Algorithm for Maximum Matching on Graphs", journal = "J. ACM", volume = "23", pages = "221--234", year = "1976"} @article {G120, author = "{Gavril, F.}", title = "The Intersection Graphs of Subtrees in Trees are Exactly the Chordal Graphs", journal = "J. Combinatorial Theory B", volume = "16", pages = "47--56", year = "1974"} @article {G121, author = "{G{\"o}del, K.}", title = "{\"U}ber formal unentscheidbare {S{\"a}tze} der Principia Mathematica und verwandten {Systeme} {I}", journal = "Monatsch. Math. und Phys.", volume = "38", pages = "173--198", year = "1931"} @misc {G122, author = "{Graham, R. L.} and {Hell, P.}", title = "On the History of the Minimum Spanning Tree Problem", note = "(Published at {Annals of the History of Computing})"} @techreport {G123, author = "{Grimes, R. G.} and {Pierce, D.}", title = "The Implementation of Three Resequencing Algorithms for {MSC/NASTRAN}", type = "{Tech. Report}", number = "ETA-TR-65", institution = "ETA Division, Boeing Computer Services", address = "Seattle, Washington", year = "1987"} @article {G124, author = "{George, A.} and {Ng, E.}", title = "On the Complexity of Sparse {QR} and {LU} Factorization of Finite-Element Matrices", journal = "SIAM J. Sci. and Stat. Comput.", volume = "9", pages = "849--861", year = "1988"} @article {G125, author = "{Gilbert, J. R.} and {Heath, M. T.}", title = "Computing a Sparse Basis for the Null Space", journal = "SIAM J. Alg. and Discr. Methods", volume = "8", pages = "446--459", year = "1987"} @article {G126, author = "{Gilbert, J. R.} and {Liu, J. W. H.}", title = "Elimination Structures for Unsymmetric Sparse {LU} Factors", journal = "SIAM J. Alg. and Discr. Methods", volume = "14", pages = "334--352", year = "1993"} @techreport {G127, author = "{Gilbert, J. R.} and {Ng, E.}", title = "Predicting Structure in Nonsymmetric Sparse Matrix Factorizations", type = "{Tech. Report}", number = "CSL-92-08", institution = "XEROX Palo Alto Research Center", note = "(Published at {Graph Theory and Sparse Matrix Computations}, {George, A., Gilbert, J. R., Liu, J. W. H., eds., Springer-Verlag, 1993})", year = "1992"} @incollection {G128, author = "{Geist, G. A.}", title = "Solving Finite Element Problems with Parallel Multifrontal Schemes", editor = "{Heath, M. T.}", booktitle = "Hypercube Multiprocessors 1987", pages = "656--661", publisher = "SIAM Publications", year = "1987"} @techreport {G129, author = "{Geist, G. A.} and {Heath, M. T.}", title = "Parallel {Cholesky} Factorization on a Hypercube Multiprocessor", type = "{Tech. Report}", number = "ORNL-6211", institution = "Oak Ridge National Laboratory", year = "1985"} @article {G130, author = "{George, A.} and {McIntyre, D.}", title = "On the Application of the Minimum Degree Algorithm to Finite Element Systems", journal = "SIAM J. Numer. Anal.", volume = "15", pages = "90--111", year = "1978"} @article {G131, author = "{George, A.} and {Ng, E.}", title = "Parallel Sparse {Gaussian} Elimination with Partial Pivoting", journal = "Annals of Oper. Res.", volume = "22", pages = "219--240", year = "1990"} @article {G132, author = "{Gilbert, J. R.} and {Zmijewski, E.}", title = "A Parallel Graph Partitioning Algorithm for a Message-Passing Multiprocessor", journal = "Int. J. of Parallel Programming", volume = "16", pages = "427--449", year = "1987"} @phdthesis {G133, author = "{George, A.}", title = "Computer Implementation of the Finite Element Method", school = "Computer Science Dept., Stanford Univ.", note = "({Report STAN-CS-71-208})", year = "1971"} @article {G134, author = "{George, A.}", title = "Numerical Experiments using Dissection Methods to Solve $n$ by $n$ Grid Problems", journal = "SIAM J. Numer. Anal.", volume = "14", pages = "161--179", year = "1977"} @article {G135, author = "{George, A.}", title = "On Block Elimination for Sparse Linear Systems", journal = "SIAM J. Numer. Anal.", volume = "11", pages = "585--603", year = "1974"} @article {G136, author = "{George, A.} and {Poole, W. G. Jr.} and {Voigt, R. G.}", title = "Incomplete Nested Dissection for Solving $n$ by $n$ Grid Problems", journal = "SIAM J. Numer. Anal.", volume = "15", pages = "662--673", year = "1978"} @article {G137, author = "{George, A.} and {Poole, W. G. Jr.} and {Voigt, R. G.}", title = "Analysis of Dissection Algorithms for Vector Computers", journal = "J. Comp. and Math. with Appl.", volume = "4", pages = "287--304", year = "1978"} @article {G138, author = "{Gibbs, N. E.} and {Poole, W. G. Jr.} and {Stockmeyer, P. K.}", title = "A Comparison of Several Bandwidth and Profile Reduction Algorithms", journal = "ACM Trans. Math. Software", volume = "2", pages = "322--330", year = "1976"} @article {G139, author = "{Gibbs, N. E.}", title = "Algorithm 509~: {A} Hybrid Profile Reduction Algorithm", journal = "ACM Trans. Math. Software", volume = "2", pages = "378--387", year = "1976"} @book {G140, editor = "{Glowinski, R.} and {Lions, J. L.}", title = "Computing Methods in Applied Sciences and Engineering", publisher = "North-Holland", year = "1980"} @book {G141, author = "{Gantmacher, F. R.}", title = "The Theory of Matrices, volume {2}", publisher = "Chelsea", address = "New York", year = "1959"} @book {G142, author = "{Gallagher, R. H.}", title = "Finite Element Analysis Fundamentals", publisher = "Prentice-Hall", year = "1975"} @inproceedings {G144, author = "{Gilbert, J. R.} and {Schreiber, R.}", title = "Nested Dissection with Partial Pivoting", booktitle = "Sparse Matrix Symposium", address = "Fairfield Glade, Tennessee", year = "1982"} @techreport {G145, author = "{George, A.} and {Ng, E.}", title = "Waterloo Sparse Matrix Package ``{User's Guide}'' for {SPARSPAK-B}", type = "{Tech. Report}", number = "CS-84-37", institution = "Univ. Waterloo", address = "Canada", year = "1984"} @article {G146, author = "{Gallivan, K. A.} and {Jalby, W.} and {Meier, U.} and {Sameh, A. H.}", title = "Impact of Hierarchical Memory Systems on Linear Algebra Algorithm Design", journal = "Int. J. of Supercomputer Appl.", volume = "2", pages = "12--48", year = "1988"} @article {G147, author = "{Gustafson, J. L.}", title = "Reevaluating {Amdahl's} Law", journal = "Comm. ACM", volume = "31", pages = "532--533", year = "1988"} @techreport {G148, author = "{Gannon, D.}", title = "Restructuring Nested Loops on the {ALLIANT} {CEDAR} Cluster~: {A} Case Study of {Gaussian} Elimination of Banded Matrices", type = "{Tech. Report}", number = "543", institution = "Center for Supercomputing Research and Development, Univ. of Illinois at Urbana-Champaign", year = "1986"} @techreport {G149, author = "{Gay, D. M.}", title = "Sparse Projections in {Karmarkar's} Linear Programming Algorithm", type = "{Talk presented at {ORSA/TIMS} Joint National Meeting, Atlanta}", institution = "AT\&T BELL Labs.", address = "Murray Hill", year = "1985"} @techreport {G150, author = "{Geist, G. A.} and {Ng, E.}", title = "A Partitioning Strategy for Parallel Sparse {Cholesky} Factorization", type = "{Tech. Report}", number = "ORNL-TM-10937", institution = "Oak Ridge National Laboratory", year = "1988"} @techreport {G151, author = "{Gilbert, J. R.} and {Hafsteinsson, H.}", title = "A Parallel Algorithm for Finding Fill in a Sparse Symmetric Matrix", type = "{Tech. Report}", number = "TR 86-789", institution = "Dept. of Computer Science, Cornell Univ.", year = "1986"} @article {G152, author = "{George, A.} and {Liu, J. W. H.} and {Ng, E.}", title = "Row Ordering Schemes for Sparse {Givens} Transformations -- {I}~: {Bipartite} Graph Model", journal = "Lin. Alg. Appl.", volume = "61", pages = "55--81", year = "1984"} @article {G153, author = "{George, A.} and {Liu, J. W. H.} and {Ng, E.}", title = "Row Ordering Schemes for Sparse {Givens} Transformations -- {II}~: {Implicit} Graph Model", journal = "Lin. Alg. Appl.", volume = "75", pages = "203--223", year = "1986"} @techreport {G154, author = "{George, A.} and {Ng, E.}", title = "{SPARSPAK}~: {Waterloo} Sparse Matrix Package ``{User's Guide}'' for {SPARSPAK-B}", type = "{Research Report}", number = "CS-84-37", institution = "Dept. of Computer Science, Univ. of Waterloo", year = "1984"} @phdthesis {G155, author = "{Gilbert, J. R.}", title = "Graph Separator Theorems and Sparse {Gaussian} Elimination", school = "Dept. of Computer Science, Stanford Univ.", year = "1980"} @techreport {G156, author = "{Gilbert, J. R.} and {Ng, E.} and {Peyton, B. W.}", title = "Separators and Structure Prediction in Sparse Orthogonal Factorization", type = "{Tech. Report}", number = "CSL-93-15", institution = "XEROX Corporation, Palo Alto Research Center", year = "1993"} @techreport {G157, author = "{Gonzaga, C. C.}", title = "Search Directions for Interior Linear Programming Methods", type = "{Tech. Report}", number = "UCB-ERL-M-87-44", institution = "Electronics Research Laboratory, Univ. California, Berkeley", note = "(Published at {Algorithmica, 6:153--181, 1991})", year = "1987"} @incollection {G158, author = "{Gonzaga, C. C.}", title = "An Algorithm for Solving Linear Programming Problems in ${O}(n^{3}L)$ operations", editor = "{Meggido, N.}", booktitle = "Progress in Mathematical Programming~: Interior Point and Related Methods", chapter = "1", pages = "1--28", publisher = "Springer-Verlag", year = "1989"} @article {G159, author = "{Gonzaga, C. C.}", title = "Path-Following Methods for Linear Programming", journal = "SIAM Review", volume = "34", number = "2", pages = "167--224", year = "1992"} @techreport {G160, author = "{Gonzaga, C. C.}", title = "A simple representation of {K}armarkar's algorithm", type = "{Tech. Report}", institution = "Dept. of Systems Engineering and Computer Science, COPPE / Federal University of Rio de Janeiro", year = "1988"} @book {G161, editor = "{Glowinski, R.} and {Lichnewsky, A.}", title = "Computing Methods in Applied Sciences and Engineering", publisher = "SIAM Publications", year = "1990"} @book {G162, editor = "{Grossman, R.}", title = "Symbolic Computation~: Applications to Scientific Computing", publisher = "SIAM Publications", year = "1989"} @article {G163, author = "{Garey, M. R.} and {Johnson, D. S.}", title = "Strong {NP}-Completeness Results~: {Motivation}, Examples and Implications", journal = "J. ACM", volume = "25", pages = "499--508", year = "1978"} @phdthesis {G164, author = "{Gross, T. R.}", title = "Code Optimization of Pipeline Constraints", school = "Computer Systems Lab., Stanford Univ.", year = "1983"} @inproceedings {G165, author = "{Gibbons, P. B.} and {Muchnik, S. S.}", title = "Efficient Instruction Scheduling for a Pipelined Processor", booktitle = "SIGPLAN '86 Symposium on Compiler Construction", pages = "11--16", organization = "ACM", address = "Palo Alto", year = "1986"} @incollection {G166, author = "{Goldfarb, D.} and {Todd, M. J.}", title = "Linear Programming", editor = "{Nemhauser, G. L.} and {Rinnooy Kan, A.} and {Todd, M. J.}", booktitle = "Handbooks in Operations Research and Management Science, volume {1}~: {Optimization}", chapter = "2", pages = "73--170", publisher = "North-Holland", year = "1989"} @incollection {G167, author = "{Gill, P. E.} and {Murray, W.} and {Saunders, M. A.} and {Wright, M. H.}", title = "Constrained Nonlinear Programming", editor = "{Nemhauser, G. L.} and {Rinnooy Kan, A.} and {Todd, M. J.}", booktitle = "Handbooks in Operations Research and Management Science, volume {1}~: {Optimization}", chapter = "3", pages = "171--210", publisher = "North-Holland", year = "1989"} @article {G168, author = "{Gr{\"o}tschel, M.} and {Lov\'asz, L.} and {Schrijver, A.}", title = "The Ellipsoid Method and its Consequences in Combinatorial Optimization", journal = "Combinatorica", volume = "1", pages = "169--197", year = "1981"} @phdthesis {G169, author = "{Gibbs, N. E.}", title = "The Bandwidth of Graphs", school = "Purdue Univ.", year = "1969"} @incollection {G170, author = "{George, A.} and {Rashwan, H.}", title = "On Symbolic Factorization of Partitioned Sparse Symmetric Matrices", editor = "{Bj{\"o}rck, A.} and {Plemmons, R. J.} and {Schneider, H.}", booktitle = "Large Scale Matrix Problems", pages = "145--158", publisher = "North-Holland", year = "1981"} @incollection {G171, author = "{Golub, G. H.} and {Plemmons, R. J.}", title = "Large-Scale Geodetic Least-Squares Adjustment by Dissection and Orthogonal Decomposition", editor = "{Bj{\"o}rck, A.} and {Plemmons, R. J.} and {Schneider, H.}", booktitle = "Large Scale Matrix Problems", pages = "3--28", publisher = "North-Holland", year = "1981"} @incollection {G172, author = "{Grosse, E.}", title = "Tensor Spline Approximation", editor = "{Bj{\"o}rck, A.} and {Plemmons, R. J.} and {Schneider, H.}", booktitle = "Large Scale Matrix Problems", pages = "29--42", publisher = "North-Holland", year = "1981"} @inproceedings {G173, author = "{Garey, M. R.} and {Johnson, D. S.}", title = "Some Simplified {NP}-Complete Problems", booktitle = "Proc. $6^{th}$ Annual {ACM} Symposium on Theory of Computing", pages = "47--63", year = "1974"} @incollection {G174, author = "{Gill, P. E.} and {Murray, W.}", title = "The Orthogonal Factorization of a Large Sparse Matrix", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", publisher = "Academic Press", year = "1976"} @article {G175, author = "{Gentleman, W. M.}", title = "Least-Squares Computations by {Givens} Transformations without Square Roots", journal = "J. Inst. Math. Appl.", volume = "12", pages = "329--336", year = "1973"} @article {G176, author = "{Gentleman, W. M.}", title = "Error Analysis of {QR} Decompositions by {Givens} Transformations", journal = "Lin. Alg. Appl.", volume = "10", pages = "189--197", year = "1975"} @article {G177, author = "{Gill, P. E.}", title = "Recent Developments in Numerically Stable Methods for Linear Programming", journal = "Bull. Inst. Math. Appl.", volume = "10", pages = "180--186", year = "1974"} @article {G178, author = "{Gill, P. E.} and {Murray, W.} and {Saunders, M. A.}", title = "Methods for Computing and Modifying the {LDV} Factors of a Matrix", journal = "Math. of Computation", volume = "29", number = "132", year = "1975"} @article {G179, author = "{Gill, P. E.} and {Murray, W.}", title = "A Numerically Stable Form of the Simplex Algorithm", journal = "Lin. Alg. Appl.", volume = "7", pages = "99--138", year = "1973"} @incollection {G180, author = "{Goldfarb, D.}", title = "Using the Steepest-Edge Simplex Algorithm to Solve Sparse Linear Programs", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", publisher = "Academic Press", year = "1976"} @techreport {G181, author = "{Goldfarb, D.} and {Reid, J. K.}", title = "A Practicable Steepest-Edge Simplex Algorithm", type = "{Tech. Report}", institution = "AERE", year = ""} @techreport {G182, author = "{Goldfarb, D.} and {Reid, J. K.}", title = "{FORTRAN} Subroutines for Sparse In-Core Linear Programming", type = "{Tech. Report}", institution = "AERE", year = ""} @techreport {G183, author = "{Goldfarb, D.} and {Reid, J. K.}", title = "On the {Bartels-Golub} Decomposition for Linear Programming Bases", type = "{Tech. Report}", number = "CSS-18", institution = "Harwell", year = "1975"} @article {G184, author = "{Golub, G. H.}", title = "Numerical Methods for Solving Linear Least Squares Problems", journal = "Numer. Math.", volume = "7", pages = "206--216", year = "1965"} @incollection {G185, author = "{George, A.}", title = "Block Elimination on Finite Element Systems of Equations", editor = "{Rose, D. J.} and {Willoughby, R. A.}", booktitle = "Sparse Matrices and Their Applications", pages = "101--114", publisher = "Plenum Press", address = "New York", year = "1972"} @inproceedings {G186, author = "{Gear, C. W.}", title = "The Automatic Integration of Stiff Differential Equations", booktitle = "Proc. {IFIP} Congress", address = "Edinburgh", year = "1968"} @article {G187, author = "{Gustavson, F. G.} and {Willoughby, R. A.}", title = "Sparse Matrices~: {Some} Techniques and Applications", journal = "Proc. IEEE", volume = "", year = "1972"} @article {G188, author = "{Golub, G. H.} and {Wilkinson, J. H.}", title = "Note on the Iterative Refinement of Least Squares Solution", journal = "Numer. Math.", volume = "9", pages = "139--148", year = "1966"} @article {G189, author = "{Golub, G. H.} and {Kahan, W.}", title = "Calculating the Singular Values and the Pseudo Inverse of a Matrix", journal = "SIAM J. Numer. Anal.", volume = "2", pages = "205--224", year = "1965"} @book {G190, editor = "{Garabedian, P. R.}", title = "Partial Differential Equations", publisher = "John Wiley \& Sons", year = "1964"} @book {G191, editor = "{Graves, R. L.} and {Wolfe, P.}", title = "Recent Advances in Mathematical Programming", publisher = "McGraw-Hill", year = "1963"} @techreport {G192, author = "{Givens, W.}", title = "Numerical Computation of the Characteristic Values of a Real Symmetric Matrix", type = "{Tech. Report}", number = "ORNL-1574", institution = "Oak Ridge National Laboratory", year = "1954"} @article {G193, author = "{Gill, S.}", title = "Parallel Programming", journal = "Computing J.", volume = "1", pages = "2--10", year = "1958"} @article {G194, author = "{Gilmore, P. A.}", title = "Structuring of Parallel Algorithms", journal = "J. ACM", volume = "15", pages = "176--192", year = "1968"} @book {G195, author = "{Gass, S. I.}", title = "Linear Programming~: Methods and Applications", publisher = "McGraw-Hill", year = "1958"} @article {G196, author = "{Gotlieb, C. C.} and {Kumar, S.}", title = "Semantic Clustering of Index Terms", journal = "J. ACM", volume = "15", pages = "493--513", year = "1968"} @inproceedings {G197, author = "{Gustavson, F. G.} and {Yun, D. Y. Y.}", title = "Arithmetic Complexity of Unordered Sparse Polynomials", editor = "{Jenks, R.}", booktitle = "Proc. 1976 {ACM} Symposium on Symbolic and Algebraic Computation", pages = "149--153", address = "Yorktown Heights, New York", year = "1976"} @unpublished {G198, author = "{Gustavson, F. G.}", title = "Some Algorithms for Sparse Elimination", note = ""} @book {G199, editor = "{Gantmacher, F. R.}", title = "Matrizenrechnung -- {I}", publisher = "", address = "Berlin", year = "1958"} @inproceedings {G200, author = "{Gustavson, F. G.} and {Hachtel, G. D.}", title = "Program Implementation of a Network Design Program Based on the Sparse Tableau Adjoint Method", booktitle = "Proc. $16^{th}$ Midwest Symposium on Circuit Theory, part {1}", year = "1973"} @article {G201, author = "{Green, D. R.}", title = "Algorithm 319~: {Triangular} Factors of Modified Matrices", journal = "Comm. ACM", volume = "11", pages = "12", year = "1968"} @techreport {G203, author = "{Griesmer, J. H.} and {Jenks, R. D.} and {Yun, D. Y. Y.}", title = "{SCRATCHPAD} ``{User's Manual}''", type = "{Report}", number = "RA-70", institution = "IBM", address = "Yorktown Heights", year = "1975"} @article {G204, author = "{Gear, C. W.}", title = "Simultaneous Numerical Solution of Differential Algebraic Equations", journal = "IEEE Trans. Circuit Theory", volume = "CT-18", pages = "89--95", year = "1971"} @techreport {G205, author = "{George, A.}", title = "A Negative Result on Sparse Matrix Splitting and {Gaussian} Elimination", type = "{Report}", institution = "ICASE", address = "Langley", year = "1975"} @article {G206, author = "{Guardabassi, G.}", title = "A Note on Minimal Essential Sets", journal = "IEEE Trans. Circuit Theory", volume = "CT-15", pages = "86", year = "1968"} @article {G207, author = "{Gupta, K. K.}", title = "Solution of Eigenvalue Problems by {Sturm} Sequence Method", journal = "Int. J. Numer. Meth. Eng.", volume = "4", pages = "379--404", year = "1972"} @techreport {G208, author = "{George, A.} and {Liu, J. W. H.}", title = "An Automatic Partitioning and Solution Scheme for Solving Large Sparse Positive Definite Systems of Linear Algebraic Equations", type = "{Tech. Report}", number = "CS-75-17", institution = "Dept. of Computer Science, Univ. Waterloo", address = "Ontario, Canada", year = "1975"} @techreport {G209, author = "{Grimes, R. G.} and {Lewis, J. G.} and {Simon, H. D.}", title = "Experiences in Solving Large Eigenvalue Problems on the {CRAY X-MP}", type = "{Tech. Report}", number = "ETA-TR-40", institution = "Engineering Technology Applications (ETA) Division, Boeing Computer Services", address = "Seattle, Washington", year = "1986"} @inproceedings {G210, author = "{Garner, R.} and {Agarwal, A.} and {Briggs, F.} and {Brown, E.} and {Hough, D.} and {Joy, B.} and {Kleiman, S.} and {Munchnik, S.} and {Namjoo, M.} and {Patterson, D.} and {Pendleton, J.} and {Tuck, R.}", title = "{S}calable {P}rocessor {Architecture} ({SPARC})", booktitle = "{COMPCON}", pages = "278--283", organization = "IEEE", address = "San Francisco", year = "1988"} @book {G211, editor = "{Goldstine, H. H.}", title = "The Computer~: From {Pascal} to {von Neumann}", publisher = "Princeton University Press", year = "1972"} @article {G212, author = "{Gabow, H. N.} and {Galil, Z.} and {Spencer, T.} and {Tarjan, R. E.}", title = "Efficient Algorithms for Finding Minimum Spanning Trees in Undirected and Directed Graphs", journal = "Combinatorica", volume = "6", pages = "109--122", year = "1986"} @book {G213, author = "{Gauss, K. F.}", title = "The Theory of Combination of Observations Least Subject to Errors -- Part One, Part Two, Supplement", publisher = "SIAM Publications", note = "({Translated by Stewart, G. W.})", year = "1995"} @article {G214, author = "{Gabay, D.}", title = "Minimizing a Differentiable Function over a Differential Manifold", journal = "JOTA", volume = "37", number = "2", pages = "177--218", year = "1982"} @book {G215, author = "{Gropp, W.} and {Lusk, E.} and {Skjellum, A.}", title = "Using {MPI}, Portable Parallel Programming with the Message Passing Interface", publisher = "MIT Press", year = ""} @article {G216, author = "{Gustavson, F. G.} and {Agarwal, R. C.} and {Cooley, J. W.} and {Shearer, J. B.} and {Slishman, G.} and {Tuckerman, B.}", title = "New Scalar and Vector Elementary Functions for the {IBM} System/370", journal = "IBM J. of Research and Development", volume = "30", number = "2", pages = "126--144", year = "1986"} @article {G217, author = "{Gustavson, F. G.} and {Agarwal, R. C.} and {Zubair, M.}", title = "A High-Performance Matrix-Multiplication Algorithm on a Distributed-Memory Parallel Computer, using Overlapped Communication", journal = "IBM J. of Research and Development", volume = "38", number = "6", year = "1994"} @article {G218, author = "{Gustavson, F. G.} and {Agarwal, R. C.} and {Zubair, M.}", title = "Exploiting Functional Parallelism of POWER2 to Design High-Performance Numerical Algorithms", journal = "IBM J. of Research and Development", volume = "38", number = "5", pages = "563--576", note = "({Special Issue on POWER2 and PowerPC Architecture and Implementation})", year = "1994"} @article {G219, author = "{Gustavson, F. G.} and {Agarwal, R. C.} and {Zubair, M.}", title = "Improving Performance of Linear Algebra Algorithms for Dense Matrices, using Algorithmic Prefetch", journal = "IBM J. of Research and Development", volume = "38", number = "3", year = "1994"} @article {G220, author = "{Gustavson, F. G.} and {Agarwal, R. C.} and {Alpern, B.} and {Carter, L.} and {Klepacki, D. J.} and {Lawrence, R.} and {Zubair, M.}", title = "High-Performance Parallel Implementations of the {NAS} Kernel Benchmarks on the {IBM} {SP2}", journal = "IBM Systems Journal", volume = "34", number = "2", year = "1995"} @inproceedings {G221, author = "{Gustavson, F. G.} and {Agarwal, R. C.}", title = "Vector and Parallel Algorithms for Cholesky Factorization on {IBM} 3090", booktitle = "Proc. of the Supercomputing 89", pages = "225--233", publisher = "ACM Press", address = "Reno, NV", year = "1989"} @inproceedings {G222, author = "{Gustavson, F. G.} and {Agarwal, R. C.} and {Zubair, M.}", title = "A High Performance Algorithm Using Pre-Processing for the Sparse Matrix-Vector Multiplication", booktitle = "Proc. of Supercomputing '92", publisher = "IEEE", pages = "32--41", address = "Minnesota", year = "1992"} @inproceedings {G223, author = "{Gustavson, F. G.} and {Agarwal, R. C.} and {Zubair, M.}", title = "A High Performance Parallel Algorithm for {1-D} {FFT}", booktitle = "Proc. of Supercomputing '91", publisher = "IEEE Computer Society Press", year = "1994"} @article {G224, author = "{Gustavson, F. G.} and {Brent, R. P.} {Yun, D. Y. Y.}", title = "Fast Solution of {Toeplitz} Systems of Equations and Computation of {Pade} Approximants", journal = "Journal of Algorithms", volume = "1", number = "3", pages = "259--295", year = "1980"} @article {G225, author = "{Gustavson, F. G.} and {Brawn, B. S.} and {Mankin, E. S.}", title = "Sorting in a Paging Environment", journal = "Comm. ACM", volume = "13", number = "8", pages = "483", year = "1970"} @article {G226, author = "{Gustavson, F. G.}", title = "Remark on {Algorithm} 408~: {A} Sparse Matrix Package (Part {I})", journal = "ACM Trans. Math. Software", volume = "4", number = "3", pages = "295--295", year = "1978"} @techreport {G227, author = "{Gustavson, F. G.}", title = "An Efficient {3-D} Parallel Algorithm for Matrix Multiplication", type = "{Talk presented at SIAM Symposium on Discrete Algorithms}", institution = "IBM Thomas J. Watson Research Center", year = "1995"} @techreport {G228, author = "{Gustavson, F. G.} and {Agarwal, R. C.} and {Palkar, P.} and {Zubair, M.}", title = "A Performance Analysis of the Subroutines in the {ESSL}/{LAPACK} Call Convention Interface (CCI)", type = "{Tech. Report}", institution = "IBM Thomas J. Watson Research Center", address = "Yorktown Heights", year = "1994"} @inproceedings {G229, author = "{Gustavson, F. G.} and {Agarwal, R. C.}", title = "Vector and Parallel Algorithms for {Cholesky} Factorization on {IBM 3090}", booktitle = "Proc. Supercomputing '89", year = "1989"} @inproceedings {G230, author = "{Gupta, A.} and {Kumar, V.}", title = "Optimally Scalable Parallel Sparse {Cholesky} Factorization", booktitle = "Proc. $7^{th}$ {SIAM} Conference on Parallel Processing for Scientific Computing", pages = "442--447", year = "1995"} @article {G231, author = "{Gilbert, J. R.} and {Rose, D. J.} and {Edenbrandt, A.}", title = "A Separator Theorem for Chordal Graphs", journal = "SIAM J. Alg. and Discr. Meth.", volume = "5", pages = "306--313", year = "1984"} % (H) ........................................................................ @article {H1, author = "{Hachtel, G. D.} and {Brayton, R. K.} and {Gustavson, F. G.}", title = "The Sparse Tableau Approach to Network Analysis and Design", journal = "IEEE Trans. Circuit Theory", volume = "CT-18", number = "1", pages = "101--113", year = "1971"} @incollection {H2, author = "{Hachtel, G. D.}", title = "Vector and Matrix Variability Type in Sparse Matrix Algorithms", editor = "{Rose, D. J.} and {Willoughby, R. A.}", booktitle = "Sparse Matrices and their Applications", pages = "53--66", publisher = "Plenum Press", year = "1972"} @techreport {H3, author = "{Hopper, M. J.}", title = "Harwell Subroutine Library~: {A} Catalogue of Subroutines", note = "($9^{th}$ Edition)", type = "{Tech. Report}", number = "AERE-R-9185", institution = "Harwell Laboratory", year = "1989"} @article {H4, author = "{Huang, J. W.} and {Wing, O.}", title = "Optimal Parallel Triangulation of a Sparse Matrix", journal = "IEEE Trans. Circuits and Systems", volume = "CAS-26", number = "9", pages = "726--732", year = "1979"} @article {H5, author = "{Heath, M. T.} and {Ng, E.} and {Peyton, B. W.}", title = "Parallel Algorithms for Sparse Linear Systems", journal = "SIAM Review", volume = "33", number = "3", pages = "420--460", year = "1991"} @article {H6, author = "{Heath, M. T.}", title = "Numerical Methods for Large Sparse Linear Least Squares Problems", journal = "SIAM J. Sci. and Stat. Comput.", volume = "5", number = "3", pages = "497--513", year = "1984"} @article {H7, author = "{Housos, E. C.} and {Irisarri, G. D.}", title = "A Sparse Variable Metric Optimization Method Applied to the Solution of Power Systems Problems", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-101", pages = "195--202", year = "1982"} @book {H8, author = "{Himmelblau, D. M.}", title = "Decomposition of Large-Scale Problems", publisher = "North-Holland", year = "1973"} @book {H9, author = "{Henessny, J. L.} and {Patterson, D. A.}", title = "Computer Architecture a Quantitative Approach", publisher = "Morgan Kaufmann Publishers", year = "1990"} @book {H10, author = "{Hockney, R. W.} and {Jesshope, C.}", title = "Parallel Computers -- {II}~: {Architectures}, Programming \& Algorithms", publisher = "Adam Hilger", year = "1988"} @book {H11, author = "{Hwang, K.} and {Briggs, F. A.}", title = "Computer Architecture and Parallel Processing", publisher = "McGraw-Hill", address = "New York", year = "1985"} @book {H12, author = "{Horowitz, E.} and {Sahni, S.}", title = "Fundamentals of Computer Algorithms", publisher = "Computer Science Press, Inc.", address = "Maryland", year = "1978"} @book {H13, author = "{Horowitz, E.} and {Sahni, S.}", title = "Fundamentals of Data Structures", publisher = "Computer Science Press", year = "1976"} @article {H14, author = "{Hopcroft, J. E.} and {Tarjan, R.}", title = "Efficient Algorithms for Graph Manipulation", journal = "Comm. ACM", volume = "16", pages = "372--378", year = "1973"} @book {H15, author = "{Harary, F.}", title = "Graph Theory", publisher = "Addison-Wesley", year = "1969"} @incollection {H16, author = "{Harary, F.}", title = "Sparse Matrices and Graph Theory", editor = "{Reid, J. K.}", booktitle = "Large Sparse Sets of Linear Equations", pages = "139--150", publisher = "Academic Press", year = "1971"} @article {H17, author = "{Hester, J. H.} and {Hirschberg, D. S.}", title = "Self-Organizing Linear Search", journal = "ACM Computing Surveys", volume = "17", number = "3", pages = "295--311", year = "1985"} @article {H18, author = "{Higham, N. J.}", title = "Is Fast Matrix Multiplication of Practical Use~?", journal = "SIAM News", pages = "12--14", month = "November", year = "1990"} @techreport {H19, author = "{Higham, N. J.}", title = "Exploiting Fast Matrix Multiplication within the Level 3 {BLAS}", type = "{Tech. Report}", number = "89-984", institution = "Dept. of Computer Science, Cornell Univ.", note = "(To be published at {ACM Trans. Math. Software})", year = "1989"} @manual {H20, author = "{Hearn, A. C.}", title = "{REDUCE} ``{User's Manual}'' version 3.1", organization = "{The RAND Corporation}", address = "Santa Monica", year = "1984"} @article {H21, author = "{Howell, J. A.} and {Gregory, R. T.}", title = "An Algorithm for Solving Linear Algebraic Equations using Residue Arithmetic -- {I}", journal = "BIT", volume = "9", number = "3", pages = "200--224", year = "1969"} @article {H22, author = "{Howell, J. A.} and {Gregory, R. T.}", title = "An Algorithm for Solving Linear Algebraic Equations using Residue Arithmetic -- {II}", journal = "BIT", volume = "9", number = "3", pages = "324--337", year = "1969"} @article {H23, author = "{Howell, J. A.} and {Gregory, R. T.}", title = "Solving Linear Equations Using Residue Arithmetic, Algorithm {II}", journal = "BIT", volume = "10", number = "1", pages = "27--37", year = "1970"} @incollection {H24, author = "{Hoffman, A. J.} and {McCormick, S. T.}", title = "A Fast Algorithm That Makes Matrices Optimally Sparse", editor = "{Pulleyblank, W. R.}", booktitle = "Progress in Combinatorial Optimization", pages = "185--196", publisher = "Academic Press", year = "1984"} @book {H25, editor = "{Heath, M. T.}", title = "Hypercube Multiprocessors 1986", publisher = "SIAM Publications", year = "1986"} @book {H26, editor = "{Heath, M. T.}", title = "Hypercube Multiprocessors 1987", publisher = "SIAM Publications", year = "1987"} @book {H27, author = "{Hobson, E. W.}", title = "A Treatise on Plane and Advanced Trigonometry", edition = "$7^{th}$", publisher = "Dover Publications", note = "({First edition by Cambridge University Press, 1891})", year = "1957"} @book {H28, author = "{Hastings, C. Jr.}", title = "Approximations for Digital Computers", publisher = "Princeton University Press", year = "1955"} @book {H29, author = "{Hamming, R. W.}", title = "Numerical Methods for Scientists and Engineers", publisher = "McGraw-Hill", year = "1962"} @book {H30, author = "{Hamming, R. W.}", title = "Introduction to Applied Numerical Analysis", publisher = "McGraw-Hill", year = "1971"} @book {H31, author = "{Hildebrand, F. B.}", title = "Methods of Applied Mathematics", publisher = "Prentice-Hall", year = "1952"} @book {H32, author = "{Hildebrand, F. B.}", title = "Introduction to Numerical Analysis", edition = "$2^{nd}$", publisher = "McGraw-Hill", note = "({First edition, 1956})", year = "1974"} @book {H33, author = "{Henrici, P. K.}", title = "Elements of Numerical Analysis", publisher = "John Wiley \& Sons", year = "1964"} @book {H34, author = "{Henrici, P. K.}", title = "Discrete Variable Methods for Ordinary Differential Equations", publisher = "John Wiley \& Sons", year = "1962"} @book {H35, author = "{Householder, A. S.}", title = "The Theory of Matrices in Numerical Analysis", publisher = "Blaisdell Publishing Co.", year = "1964"} @book {H36, author = "{Householder, A. S.}", title = "Principles of Numerical Analysis", publisher = "McGraw-Hill", year = "1953"} @book {H37, author = "{Householder, A. S.}", title = "The Numerical Treatment of a Single Nonlinear Equation", publisher = "McGraw-Hill", year = "1970"} @book {H38, author = "{Hartree, D. R.}", title = "Numerical Analysis", publisher = "Clarendon, Oxford University Press", year = "1958"} @book {H39, author = "{Hart, J. F.} and others", title = "Computer Approximations", publisher = "John Wiley \& Sons", year = "1968"} @book {H40, author = "{Hairer, E.} and {Norsett, S. 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K.} and {Lee, T. C.} and {Sundarraj, R. P.}", title = "Decomposition of Linear Programs Using Parallel Computation", journal = "Math. Programming", volume = "42", number = "2", pages = "391--406", year = "1988"} @article {H47, author = "{Hansen, P. C.}", title = "Detection of Near-Singularity in {Cholesky} and ${LDL}^{T}$ Factorizations", journal = "J. of Comput. and Appl. Math.", volume = "19", pages = "293--299", year = "1987"} @article {H48, author = "{Housos, E. C.} and {Huang, C. C.} and {Liu, J-M.}", title = "Parallel Algorithms for the {AT\&T} {KORBX} Systems", journal = "AT\&T Technical Journal", volume = "68", number = "3", pages = "37--47", year = "1989"} @book {H49, author = "{Hoffman, K.} and {Kunze, R.}", title = "Linear Algebra", publisher = "Prentice-Hall", year = "1971"} @article {H50, author = "{Hood, P.}", title = "Frontal Solution Program for Unsymmetric Matrices", journal = "Int. J. Numer. Meth. in Eng.", volume = "10", pages = "379--400", year = "1976"} @article {H51, author = "{Hopcroft, J. E.} and {Karp, R. M.}", title = "An $n^{5/2}$ Algorithm for Maximum Matchings in Bipartite Graphs", journal = "SIAM J. Comput.", volume = "2", pages = "225--231", year = "1973"} @book {H52, author = "{Hamming, R. W.}", title = "Coding and Information Theory", publisher = "Prentice-Hall", year = "1986"} @article {H53, author = "{Hwang, K.}", title = "Advanced Parallel Processing with Supercomputer Architectures", journal = "Proc. of the IEEE", volume = "75", pages = "1348--1379", year = "1987"} @article {H54, author = "{Heath, M. T.}", title = "Some Extensions of an Algorithm for Sparse Linear Least Squares Problems", journal = "SIAM J. Sci. and Stat. Comput.", volume = "3", pages = "223--237", year = "1982"} @book {H55, author = "{Hadley, G.}", title = "Linear Programming", publisher = "Addison-Wesley", year = "1962"} @book {H56, author = "{Humes, C. Jr.} and {Humes, A. F.}", title = "Programa\c c\~ao Linear~: Um Primeiro Curso", publisher = "Sociedade Brasileira de Matem\'atica Aplicada e Computacional", address = "Rio de Janeiro", year = "1986"} @book {H57, author = "{Huber, P. J.}", title = "Robust Statistics", publisher = "John Wiley \& Sons", year = "1981"} @article {H58, author = "{Heller, D.}", title = "A Survey of Parallel Algorithms in Numerical Linear Algebra", journal = "SIAM Review", volume = "20", pages = "740--777", year = "1978"} @article {H59, author = "{Han, S. P.}", title = "Superlinearly Convergent Variable Metric Algorithms for General Nonlinear Programming Problems", journal = "Math. Programming", volume = "11", pages = "263--282", year = "1976"} @techreport {H60, author = "{Hebden, M.}", title = "An Algorithm for Minimization Using Exact Second Derivatives", type = "{Tech. Report}", number = "TP-515", institution = "Atomic Energy Research Establishment", address = "Harwell, England", year = "1973"} @book {H61, author = "{Himmelblau, D. M.}", title = "Applied Nonlinear Programming", publisher = "McGraw-Hill", year = "1972"} @book {H62, author = "{Hock, W.} and {Schittkowski, K.}", title = "Test Examples for Nonlinear Programming Codes", series = "Lecture Notes in Economics and Mathematical Systems", volume = "187", publisher = "Springer-Verlag", year = "1981"} @book {H63, author = "{Brinch Hansen, P.}", title = "The Architecture of Concurrent Programs", publisher = "Prentice-Hall", year = "1977"} @book {H64, author = "{Higman, B.}", title = "A Comparative Study of Programming Languages", publisher = "MacDonald, American Elsevier", year = "1967"} @article {H65, author = "{Hoare, C. A. R.}", title = "{CASE} Expressions", journal = "{ALGOL} Bulletin", volume = "18.3.7", pages = "20--22", year = "1964"} @article {H66, author = "{Hoare, C. A. R.}", title = "A Note on the {FOR} Statement", journal = "BIT", volume = "12", pages = "334--341", year = "1972"} @article {H67, author = "{Hoare, C. A. R.}", title = "Communicating Sequential Processes", journal = "Comm. ACM", volume = "21", number = "8", pages = "666--677", year = "1978"} @article {H68, author = "{Hoare, C. A. R.}", title = "QUICKSORT", journal = "Computer Journal", volume = "5", number = "1", pages = "13--15", year = "1962"} @book {H69, author = "{Harary, F.} and {Norman, R. Z.} and {Cartwright, D.}", title = "Structural Models~: An Introduction to the Theory of Directed Graphs", publisher = "John Wiley \& Sons", year = "1965"} @article {H70, author = "{Hopcroft, J. E.} and {Ullmann, J. D.}", title = "Set Merging Algorithms", journal = "SIAM J. Comput.", volume = "2", pages = "294--303", year = "1973"} @article {H71, author = "{Hare, D. R.} and {Johnson, C. R.} and {Olesky, D. D.} and {van den Driessche, P.}", title = "Sparsity Analysis of the {QR} Factorization", journal = "SIAM J. Matrix Anal. and Appl.", volume = "14", pages = "655--669", year = "1993"} @article {H72, author = "{Hare, D. R.} and {Johnson, C. R.} and {Olesky, D. D.} and {van den Driessche, P.}", title = "Inherited Matrix Entries~: {LU} Factorization", journal = "SIAM J. Matrix Anal. and Appl.", volume = "10", pages = "94--104", year = "1989"} @article {H73, author = "{Heath, M. T.} and {Romine, C.}", title = "Parallel Solution of Triangular Systems on Distributed-Memory Multiprocessors", journal = "SIAM J. Sci. and Stat. Comput.", volume = "9", pages = "558--588", year = "1988"} @article {H74, author = "{Heath, M. T.} and {Sorensen, D. C.}", title = "A Pipelined {Givens} Method for Computing the {QR} Factorization of a Sparse Matrix", journal = "Lin. Alg. Appl.", volume = "77", pages = "189--203", year = "1986"} @article {H75, author = "{Hoffman, A. J.} and {Martin, M. S.} and {Rose, D. J.}", title = "Complexity Bounds for Regular Finite Difference and Finite Element Grids", journal = "SIAM J. Numer. Anal.", volume = "10", pages = "364--369", year = "1973"} @incollection {H76, author = "{Hachtel, G. D.}", title = "The Sparse Tableau Approach to Finite Element Assembly", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", pages = "349--363", publisher = "Academic Press", year = "1976"} @book {H77, editor = "{Harary, F.}", title = "Graph Theory and Theoretical Physics", publisher = "Academic Press", year = "1967"} @article {H78, author = "{Harary, F.}", title = "A Graph Theoretic Method for the Complete Reduction of a Matrix with a View Toward Finding its Eigenvalues", journal = "J. Mathematical Phys.", volume = "38", pages = "104--111", year = "1959"} @manual {H79, author = "{Heath, M. T.}", title = "Sparse Matrix Software Catalog, {Sparse} Matrix Symposium 1982", organization = "Oak Ridge National Laboratory", note = "(Promoted by Union Carbide Corporation, Nuclear Division)", year = "1982"} @book {H80, author = "{Hageman, L.} and {Young, D. M.}", title = "Applied Iterative Methods", publisher = "Academic Press", year = "1981"} @article {H81, author = "{Hockney, R. W.} and {Curington, I. J.}", title = "$f_{1/2}$~: {A} Parameter to Characterize Memory and Communication Bottlenecks", journal = "Parallel Computing", volume = "10", pages = "277--286", year = "1989"} @article {H82, author = "{Hestenes, M. R.} and {Stiefel, E.}", title = "Methods of Conjugate Gradients for Solving Linear System", journal = "J. Res. Nat. Bur. Standards", volume = "B-49", pages = "409--436", year = "1952"} @article {H83, author = "{Hoaglin, D. C.}", title = "An Analysis of the Loop Optimization Scores in {Knuth's} `Empirical Study of {FORTRAN} Programs'", journal = "Software Practice and Experience", volume = "3", pages = "161--169", year = "1972"} @inproceedings {H84, author = "{Huang, J.} and {Wing, O.}", title = "On Minimum Completion Time and Optimal Scheduling of Parallel Triangulation of a Sparse Matrix", booktitle = "IEEE Power Engineering Society Summer Meeting", publisher = "Institute of Electrical and Electronics Engineers, Inc.", address = "Los Angeles", note = "(IEEE Abstract A78-567-0)", year = "1978"} @incollection {H85, author = "{Hachtel, G. D.}", title = "Extended Applications of the Sparse Tableau Approach~: {Finite} Elements and Least Squares", editor = "{Spillers, W.}", booktitle = "Basic Questions in Design Theory", note = "(Originally in Tech. Report from Elec. Sci. Eng. and Computer Science Dept., {UCLA})", publisher = " North-Holland", year = "1974"} @book {H86, author = "{Higham, N. J.}", title = "Accuracy and Stability of Numerical Algorithms", publisher = "SIAM Publications", note = "(To be published)", year = "1996"} @book {H87, author = "{Higham, N. J.}", title = "Handbook of Writing for the Mathematical Sciences", publisher = "SIAM Publications", year = "1993"} @unpublished {H88, author = "{Haimovich, M.}", title = "The Simplex Algorithm is Very Good~!~: {On} the Expected Number of Pivot Steps and Related Properties of Random Linear Programs", note = "{Manuscript}, {Columbia Univ.}"} @article {H89, author = "{Hennessy, J. L.} and {Gross, T. R.}", title = "Postpass Code Optimization of Pipeline Constraints", journal = "ACM Trans. Programming Languages and Systems", volume = "5", number = "3", pages = "422--448", year = "1983"} @inproceedings {H90, author = "{Hwu, W. M.} and {Patt, Y.}", title = "{HPS}m~: {A} High Performance Restricted Data Flow Architecture Having Minimum Functionality", booktitle = "Proc. $13^{th}$ Symposium on Computer Architecture", pages = "297--307", address = "Tokyo", year = "1986"} @techreport {H91, author = "{Hertog, D.} and {Roos, C.}", title = "A Survey of Search Directions in Interior Point Methods for Linear Programming", type = "{Tech. Report}", number = "89-65", institution = "Faculty of Technical Mathematics and Informatics, Technische Univ. Delft", address = "Holland", year = "1989"} @article {H92, author = "{Hellerman, E.} and {Rarick, D.}", title = "Reinversion with the Preassigned Pivot Procedure", journal = "Math. Programming", volume = "1", pages = "195--216", year = "1971"} @incollection {H93, author = "{Hellerman, E.} and {Rarick, D.}", title = "The Partitioned Preassigned Pivot Procedure (${P}^4$)", editor = "{Rose, D. J.} and {Willoughby, R. A.}", booktitle = "Sparse Matrices and Their Applications", pages = "67--76", publisher = "Plenum Press", address = "New York", year = "1972"} @inproceedings {H94, author = "{Hachtel, G. D.} and {Gustavson, F. G.} and {Brayton, R. K.} and {Grapes, T. E.}", title = "A Sparse Matrix Approach to Network Analysis", booktitle = "Proc. Cornell Conference on Computerized Electronics", organization = "Cornell Univ.", year = "1969"} @article {H95, author = "{Harary, F.}", title = "Graphs and Matrices", journal = "SIAM Review", volume = "9", pages = "83--90", year = "1967"} @article {H96, author = "{Harary, F.}", title = "On the Consistency of Precedence Matrices", journal = "J. ACM", volume = "7", pages = "255--259", year = "1959"} @article {H97, author = "{Harary, F.}", title = "A Graph Theoretic Approach to Matrix Inversion by Partitioning", journal = "Numer. Math.", volume = "4", pages = "128--135", year = "1963"} @article {H98, author = "{Harary, F.}", title = "The Determinant of the Adjacency Matrix of a Graph", journal = "SIAM Review", volume = "4", pages = "202--210", year = "1962"} @article {H99, author = "{Harary, F.} and {Karp, R. M.} and {Tutte, W. T.}", title = "A Criterion for Planarity of the Square of a Graph", journal = "J. Combinatorial Theory", volume = "2", pages = "395--405", year = "1967"} @article {H100, author = "{Hall, M.}", title = "An Algorithm for Distinct Representatives", journal = "Amer. Math. Monthly", volume = "63", pages = "716--717", year = "1956"} @article {H101, author = "{Harris, P. M. J.}", title = "Pivot Selection Methods of the {DEVEX} {LP} Code", journal = "Math. Programming", volume = "5", pages = "1--28", year = "1973"} @incollection {H102, author = "{Householder, A. S.}", title = "Matrix Inversion", booktitle = "International Dictionary of Applied Mathematics", publisher = "Van Nostrand", address = "Princeton", year = "1960"} @article {H103, author = "{Hachtel, G. D.} and {Rohrer, R. A.}", title = "Techniques for the Optimal Design and Synthesis of Switching Circuits", journal = "Proc. of the IEEE", volume = "55", pages = "1864--1867", note = "(Special Edition on {Computer Aided Design})", year = "1967"} @inproceedings {H104, author = "{Hull, T. E.}", title = "The Numerical Integration of Ordinary Differential Equations", booktitle = "Proc. {IFIP} Congress", address = "Edinburgh", year = "1968"} @article {H105, author = "{Hockney, R. W.}", title = "A Fast Direct Solution of {Poisson's} Equation using {Fourier} Analysis", journal = "J. ACM", volume = "12", pages = "95--113", year = "1965"} @article {H106, author = "{Hopcroft, J. E.} and {Kerr, L. R.}", title = "On Minimizing the Number of Multiplications Necessary for Matrix Multiplication", journal = "SIAM J. Appl. Math.", volume = "20", pages = "30--36", year = "1971"} @techreport {H107, author = "{Householder, A. S.}", title = "{KWIC} Index for Matrices in Numerical Analysis, volume {1} Primary Authors {A--J}, volume {2} Primary Authors {K--Z}", type = "{Report}", number = "ORNL-4418", institution = "Oak Ridge National Laboratory", year = ""} @techreport {H108, author = "{Householder, A. S.}", title = "{KWIC} Index for the Numerical Treatment of Nonlinear Equations", type = "{Report}", number = "ORNL-4595", institution = "Oak Ridge National Laboratory", year = ""} @article {H109, author = "{Householder, A. S.}", title = "A Survey of Some Closed Methods for Inverting Matrices", journal = "SIAM J. Appl. Math.", volume = "5", pages = "155--169", year = "1957"} @article {H110, author = "{Hunt, P. M.}", title = "The Electronic Digital Computer in Aircraft Structural Analysis, {The} Programming of the {Argyris} Matrix Formulation of Structural Theory for an Electronic Digital Computer -- {I}~: {A} Description of a Matrix Interpretive Scheme and its Application to a Particular Example", journal = "Aircraft Engineering", volume = "28", pages = "70--76", year = "1956"} @book {H111, author = "{Hall, A. S.} and {Woodhead, R. W.}", title = "Frame Analysis", publisher = "John Wiley \& Sons", year = "1961"} @inproceedings {H112, author = "{Hershdorfer, A. M.} and {Raab, A. R.} and {Sturman, G. M.}", title = "On the Efficient Inversion of Large Structured Matrices", booktitle = "Proc. Engineering Mechanics Division Specialty Conference", pages = "651--666", organization = "ASCE", address = "Washington", year = "1966"} @article {H113, author = "{Henderson, H. V.} and {Searle, S. R.}", title = "On Deriving the Inverse of a Sum of Matrices", journal = "SIAM Review", volume = "23", number = "1", pages = "53--60", year = "1981"} @book {H114, author = "{Hardy} and {Wright}", title = "The Theory of Numbers", edition = "$4^{th}$", publisher = "Oxford University Press", year = "1962"} @book {H115, author = "{Herz, J. C.}", title = "Cours de Calcul Num\'erique", publisher = "IBM", year = ""} @techreport {H116, author = "{Harary, F.}", title = "Sparse Digraphs~: {Classification} and Algorithms", type = "{Tech. Report}", institution = "Univ. Michigan", address = "Ann Arbor", year = "1970"} @incollection {H117, author = "{Howell, T. D.}", title = "Partitioning Using ${PAQ}$", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", publisher = "Academic Press", year = "1976"} @book {H118, editor = "{Himmelblau, D. M.}", title = "Proc. {NATO} Conference at Cambridge, 1972", publisher = "North-Holland", year = "1973"} @article {H119, author = "{Hu, T. C.}", title = "Revised Matrix Algorithms for Shortest Paths", journal = "SIAM J. Appl. Math.", volume = "15", pages = "207--218", year = "1967"} @article {H120, author = "{Hall, A. D.}", title = "The {ALTRAN} System for Rational Function Manipulation~: {A} Survey", journal = "Comm. ACM", volume = "14", pages = "517--522", year = "1971"} @article {H121, author = "{Hershkowitz, M.} and {Noble, S. B.}", title = "Finding the Inverse and Connections of a Type of Large Matrix", journal = "Naval Res. Logistics Quart.", volume = "12", pages = "119--132", year = "1965"} @article {H122, author = "{Holloman, D. R.}", title = "Forward and Backward Chaining of Data Areas", journal = "IBM Tech. Discl. Bull.", volume = "13", pages = "1956--1960", year = "1970"} @article {H123, author = "{Hall, P.}", title = "On Representatives of Subsets", journal = "J. London Math. Soc.", volume = "10", number = "37", pages = "26--30", year = "1935"} @article {H124, author = "{Heap, B. R.}", title = "Random Matrices and Graphs", journal = "Numer. Math.", volume = "8", pages = "114--122", year = "1966"} @article {H125, author = "{Householder, A. S.}", title = "Unitary Triangularization of a Nonsymmetric Matrix", journal = "J. ACM", volume = "5", pages = "339--342", year = "1958"} @article {H126, author = "{Hsieh, H. Y.}", title = "Pivoting-Order Computation Method for Large Random Sparse Systems", journal = "IEEE Trans. Circuits and Systems", volume = "CAS-21", pages = "225--230", year = "1974"} @article {H127, author = "{Hsieh, H. Y.}", title = "Fill-in Comparisons Between {Gauss-Jordan} and {Gaussian} Eliminations", journal = "IEEE Trans. Circuits and Systems", volume = "CAS-21", pages = "230--233", year = "1974"} @article {H128, author = "{Hsieh, H. Y.} and {Ghausi, M. S.}", title = "On Optimal Pivoting Algorithms in Sparse Matrices", journal = "IEEE Trans. Circuit Theory", volume = "CT-19", pages = "93--96", year = "1972"} @article {H129, author = "{Hsieh, H. Y.} and {Ghausi, M. S.}", title = "A Probabilistic Approach to Optimal Pivoting and Prediction of Fill-in for Random Sparse Matrices", journal = "IEEE Trans. Circuit Theory", volume = "CT-19", pages = "329--336", year = "1972"} @techreport {H130, author = "{Hsieh, H. Y.} and {Ghausi, M. S.}", title = "On Sparse Matrices and Optimal Pivoting Algorithms", type = "{Tech. Report}", number = "TR-22-1249", institution = "IBM", year = ""} @article {H131, author = "{Hsu, T. H.}", title = "An Algorithm for Finding a Minimal Equivalent Graph of a Digraph", journal = "J. ACM", volume = "22", pages = "11--16", year = "1975"} @article {H132, author = "{Hu, T. C.}", title = "A Decomposition Algorithm for the Shortest Paths in a Network", journal = "Operations Res.", volume = "16", pages = "91--102", year = "1968"} @book {H133, editor = "{Hamacher, V. C.} and {Vranesic, Z. G.} and {Zaky, S. G.}", title = "Computer Organization", edition = "$2^{nd}$", publisher = "McGraw-Hill", year = "1984"} @inproceedings {H134, author = "{Hauck, E. A.} and {Dent, B. A.}", title = "{BURROUGHS B6500/B7500} Stack Mechanism", booktitle = "Proc. {AFIPS} {SJCC}", pages = "245--251", year = "1968"} @article {H135, author = "{Hennessy, J. L.}", title = "{VLSI} {RISC} Processors", journal = "VLSI Systems Design", volume = "6", number = "10", pages = "22--32", year = "1985"} @article {H136, author = "{Hennessy, J. L.}", title = "{VLSI} Processor Architecture", journal = "IEEE Trans. Comput.", volume = "C-33", number = "11", pages = "1221--1246", year = "1984"} @inproceedings {H137, author = "{Hennessy, J. L.} and {Jouppi, N.} and {Basket, F.} and {Gill, J.}", title = "{MIPS}~: {A} {VLSI} Processor Architecture", booktitle = "Proc. {CMU} Conference on {VLSI} Systems and Computations", publisher = "Computer Science Press", address = "Rockville", year = "1981"} @phdthesis {H138, author = "{Hill, M. D.}", title = "Aspects of Cache Memory and Instruction Buffer Performance", school = "Berkeley Computer Science Division, Univ. California", address = "Berkeley", note = "({Report UCB-CSD-87-381})", year = "1987"} @book {H139, editor = "{Hillis, W. D.}", title = "The Connection Machine", publisher = "MIT Press", year = "1985"} @book {H140, author = "{Hager, W.}", title = "Applied Numerical Linear Algebra", publisher = "Prentice-Hall", year = "1988"} @article {H141, author = "{Haymond, R. E.} and {Jarvis, J. P.} and {Shier, D. F.}", title = "Algorithm 613~: {Minimum} Spanning Trees for Moderate Integer Weights", journal = "ACM Trans. Math. Software", volume = "10", number = "1", pages = "108--111", year = "1984"} @book {H142, author = "{Hockney, R. W.}", title = "The Science of Computer Benchmarking", publisher = "SIAM Publications", year = "1995"} @book {H143, author = "{Hiriart-Hurruty} and {Lemar\'echal, C.}", title = "Convex Analysis and Minimization Algorithms -- {II}", publisher = "Springer-Verlag", year = "1993"} @article {H144, author = "{Higham, N. J.}", title = "Algorithm 674:~{FORTRAN} Codes for Estimating the One-Norm of a Real or Complex Matrix", journal = "ACM Trans. Math. Software", volume = "14", number = "4", pages = "381--396", year = "1988"} @techreport {H145, author = "{Hadfield, S. M.} and {Davis, T. A.}", title = "Analysis of Potential Parallel Implementations of the Unsymmetric-Pattern Multifrontal Method for Sparse {LU} Factorization", type = "{Tech. Report}", number = "TR-92-017", institution = "Computer and Information Science Dept., Univ. of Florida", year = "1992"} @phdthesis {H146, author = "{Hadfield, S. M.}", title = "On the {LU} Factorization of Sequences of Identically Structured Sparse Matrices within a Distributed Memory Environment", school = "Computer and Information Sciences Dept., Univ. of Florida", note = "({TR-94-019})", year = "1994"} @techreport {H147, author = "{Hadfield, S. M.} and {Davis, T. A.}", title = "Lost Pivot Recovery for an Unsymmetric-Pattern Multifrontal Method", type = "{Tech. Report}", number = "TR-94-029", institution = "Computer and Information Science Dept., Univ. of Florida", note = "({To be published at SIAM J. Matrix Anal. and Appl.})", year = "1994"} @techreport {H148, author = "{Hadfield, S. M.} and {Davis, T. A.}", title = "A Parallel Unsymmetric-Pattern Multifrontal Method", type = "{Tech. Report}", number = "TR-94-028", institution = "Computer and Information Science Dept., Univ. of Florida", note = "({To be published at SIAM J. Sci. and Stat. Comput.})", year = "1994"} @techreport {H149, author = "{Hadfield, S. M.} and {Davis, T. A.}", title = "Potential and Achievable Parallelism in the Unsymmetric-Pattern Multifrontal {LU} Factorization Method for Sparse Matrices", type = "{Tech. Report}", number = "TR-94-006", institution = "Computer and Information Science Dept., Univ. of Florida", note = "({Presented at Proc. $5^{th}$ SIAM Conference on Applied Linear Algebra, Snowbird, Utah})", year = "1994"} @book {H150, author = "{Hoskins, J.}", title = "{IBM} {RISC} System/6000~: {A} Business Perspective", edition = "$2^{nd}$", publisher = "John Wiley \& Sons", year = "1992"} % (I) ........................................................................ @article {I1, author = "{Irons, B. M.}", title = "A Frontal Solution Program for Finite Element Analysis", journal = "Int. J. Numer. Meth. in Eng.", volume = "2", pages = "5--32", year = "1970"} @proceedings {I2, organization = "{IMA}", title = "Sparse Matrices and their Uses~: {Proc.} 1980 {IMA} {N}umerical {A}nalysis {G}roup Conference", publisher = "Academic Press", year = "1981"} @book {I3, author = "{Isaacson, E.} and {Keller, H. B.}", title = "Analysis of Numerical Methods", publisher = "John Wiley \& Sons", year = "1966"} @manual {I4, author = "{IMSL}", title = "Library ``{Reference Manual}''", edition = "$8^{th}$", address = "Houston", year = "1980"} @manual {I5, organization = "{IBM}", title = "{O}ptimization {S}ubroutine {L}ibrary (OSL) ``{Guide and Reference}'', Version 2, Release 2", note = "({Order No. SC-23-0526-01})", year = "1994"} @manual {I6, organization = "{IBM}", title = "{IBM} {System/360} and {System/370}, {IBM 1130} and {IBM 1800} Mathematics Subroutine Library ``{User's Guide}''", note = "({Program Product 5736-XM7}, {IBM Catalogue SH-12-5300-1})", year = "1976"} @manual {I7, author = "{INTEL}", title = "{i860} 64-Bit Microprocessor ``{Data Sheet}''", year = "1989"} @manual {I8, author = "{INTEL}", title = "{i860} 64-Bit Programmer's ``{Reference Manual}''", year = "1989"} @manual {I9, author = "{INTEL}", title = "{iPSC} {i860} {FORTRAN} Compiler ``{User's Guide}''", year = "1992"} @article {I10, author = "{IEEE Committee Report}", title = "Parallel Processing in Power Systems Computation", journal = "IEEE Trans. Power Systems", volume = "PWRS-7", pages = "629--638", year = "1992"} @manual {I11, organization = "{IBM}", title = "{FORTRAN} General ``{Information Manual}''", note = "({Document F-28-8074-1})", year = "1961"} @manual {I12, organization = "{IBM}", title = "{PL/I} ``{Language Specifications}''", note = "({Form C-28-6571})"} @manual {I13, organization = "{IBM}", title = "{PL/I} ``{Reference Manual}''", note = "({Form C-28-8201})"} @manual {I14, organization = "{IBM}", title = "{E}ngineering and {S}cientific {S}ubroutine {L}ibrary ({ESSL}) ``{Guide and Reference}''", note = "({Release 3, Order SC-23-0184})", year = "1988"} @misc {I15, author = "{IBM}", title = "{The IBM RISC System/6000 Processor, Collection of Papers}", howpublished = "{IBM J. of Research and Development, 34(1)}", year = "1990"} @misc {I16, author = "{IBM}", title = "{Special Issue on New Techniques in the Mathematics of Numerical Computation}", howpublished = "{IBM J. of Research and Development, 16}", year = "1972"} @misc {I17, author = "{IEEE}", title = "{Special Issue on Computer-Aided-Design}", howpublished = "{IEEE Trans. on Circuit Theory, CT-18}", year = "1971"} @book {I18, author = "{Iverson, K. E.}", title = "{APL}~: A Programming Language", publisher = "John Wiley \& Sons", year = "1962"} @article {I19, author = "{Iliffe, J. K.} and {Jodeit, J. G.}", title = "A Dynamic Memory Allocation Scheme", journal = "Computing J.", volume = "5", pages = "200--209", year = "1962"} @manual {I20, organization = "{IBM}", title = "{System/360} Matrix Language ({MATLAN})", note = "({Application Description IBM H-20-0479, Program Description IBM H-20-0564, Operations Manual IBM H-20-0559, System Manual IBM H-20-0261})"} @article {I21, author = "{Irisarri, G. D.} and {Sasson, A. M.}", title = "An Automatic Contingency Selection Method for On-Line Security Analysis", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-100", pages = "1838--1844", year = "1981"} @incollection {I22, author = "{Irons, B. M.} and {Kan, D. K. Y.}", title = "Equation-Solving Algorithms for the Finite-Element Method", editor = "{Fenves, S. J.} and {Perrone, N.} and {Robinson, A. R.} and {Schnobrich, W. C.}", booktitle = "Numerical and Computer Methods in Structural Mechanics", pages = "497--511", publisher = "Academic Press", year = "1973"} @article {I23, author = "{IEEE}", title = "Standard for Binary Floating Point Arithmetic", journal = "SIGPLAN Notices", volume = "22", number = "2", pages = "9--25", year = "1985"} % (J) ........................................................................ @article {J1, author = "{Jung, H. W.} and {Marsten, R. E.} and {Saltzman, M. J.}", title = "Numerical Factorization Methods for Interior Point Algorithms", journal = "ORSA J. Computing", volume = "6", number = "1", year = "1994"} @article {J2, author = "{Jones, M. T.} and {Plassmann, P. E.}", title = "An Improved Incomplete {Cholesky} Factorization", journal = "ACM Trans. Math. Software", volume = "21", number = "1", pages = "5--17", year = "1995"} @article {J3, author = "{Jones, M. T.} and {Plassmann, P. E.}", title = "Algorithm 740~: {FORTRAN} Subroutines to Compute Improved Incomplete {Cholesky} Factorizations", journal = "ACM Trans. Math. Software", volume = "21", number = "1", pages = "18--19", year = "1995"} @article {J4, author = "{Jess, J. A. G.} and {Kees, H. G. M.}", title = "A Data Structure for Parallel {LU} Decomposition", journal = "IEEE Trans. Comput.", volume = "C-31", number = "3", pages = "231--239", year = "1982"} @book {J5, editor = "{Jacobs, D. A. H.}", title = "The State of the Art in Numerical Analysis", publisher = "Academic Press", year = "1977"} @article {J6, author = "{Joyce, D.}", title = "A Survey of Extrapolation Processes in Numerical Analysis", journal = "SIAM Review", volume = "13", pages = "435--490", year = "1971"} @techreport {J7, author = "{Jung, H. W.} and {Marsten, R. E.} and {Saltzman, M. J.}", title = "The Column {Cholesky} Method for Numerical Factorization in Interior Point Algorithms", type = "{Tech. Report}", number = "596", institution = "Dept. of Mathematical Sciences, Clemson Univ.", address = "Clemson", year = "1991"} @techreport {J8, author = "{Jung, H. W.} and {Saltzman, M. J.}", title = "The Multifrontal Method for Numerical Factorization in Interior Point Algorithms", type = "{Tech. Report}", number = "597", institution = "Dept. of Mathematical Sciences, Clemson Univ.", address = "Clemson", year = "1991"} @article {J9, author = "{Jensen, H. G.} and {Parks, G. A.}", title = "Efficient Solutions for Linear Matrix Equations", journal = "J. of the Structural Division, American Soc. of Civil Eng.", volume = "97", number = "1", pages = "49--64", year = "1970"} @inproceedings {J10, author = "{Jensen, H. G.}", title = "Designing Self Supporting Transmission Towers with the Digital Computer", booktitle = "{PICA} Conference Proceedings", address = "Pittsburgh", year = "1967"} @inproceedings {J11, author = "{Justino Filho, M. R.} and {Ebecken, N. F. F.}", title = "Decomposi\c c\~ao de Dom\'\i nio Autom\'atica de Malhas do M\'etodo de Elementos Finitos no Hipercubo {INTEL} {iPSC/860}", booktitle = "Anais do V Simp\'osio Brasileiro de Arquitetura de Computadores e Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de Computa\c c\~ao", pages = "432--443", year = "1993"} @unpublished {J12, author = "{Justino Filho, M. R.}", title = "Solu\c c\~ao Multifrontal de Sistemas de Equa\c c\~oes Alg\'ebricas Lineares Sim\'etricas Esparsas", note = "{Semin\'ario de Doutorado do Programa de Engenharia Civil, COPPE/UFRJ}", year = "1990"} @book {J13, editor = "{Jennings, A.}", title = "Matrix Computation for Engineers and Scientists", publisher = "John Wiley \& Sons", year = "1977"} @book {J14, author = "{Jarre, F.}", title = "The Method of Analytic Centers for Smooth Convex Programs", publisher = "Grottenthaler Verlag", address = "Bamberg", year = "1989"} @techreport {J15, author = "{J\'udice, J.} and {Pires, F.}", title = "Direct Methods for Convex Quadratic Programs Subject to Box Constraints", type = "{Tech. Report}", number = "ANL-MCS-P77-0589", institution = "Argonne National Laboratory", address = "Argonne, Illinois", year = "1989"} @incollection {J16, author = "{Johnson, S. C.}", title = "{LINT}~: {A} ${C}$ Program Checker", booktitle = "UNIX Programmer Manual", edition = "$7^{th}$", publisher = "BELL Labs.", year = "1979"} @techreport {J17, author = "{Johnson, S. C.} and {Kernighan, B. W.}", title = "The Programming Language ${B}$", type = "{Tech. Report}", number = "8", institution = "Computer Science Dept., BELL Labs., Inc.", year = "1973"} @article {J18, author = "{Johnson, S. C.} and {Ritchie, D. M.}", title = "Portability of ${C}$ Programs and the {UNIX} System", journal = "BELL System Tech. Journal", volume = "57", pages = "2021--2048", year = "1978"} @book {J19, editor = "{Jensen, K.} and {Wirth, N.}", title = "{PASCAL}~: User Manual and Report", edition = "$2^{nd}$", publisher = "Springer-Verlag", year = "1975"} @article {J20, author = "{Jones, M. T.} and {Patrick, M. L.}", title = "Factoring Symmetric Indefinite Matrices on High Performance Architectures", journal = "SIAM J. Matrix Anal. and Appl.", volume = "15", number = "1", pages = "273--283", year = "1994"} @article {J21, author = "{Jones, M. T.} and {Patrick, M. L.}", title = "{Bunch-Kaufman} Factorization for Real Symmetric Indefinite Banded Matrices", journal = "SIAM J. Matrix Anal. and Appl.", volume = "14", pages = "553--559", year = "1993"} @techreport {J22, author = "{Jones, M. T.} and {Patrick, M. L.}", title = "Factoring Symmetric Indefinite Matrices in High-Performance Architectures", type = "{Tech. Report}", number = "90-8", institution = "Institute for Computer Applications in Science and Engineering ({ICASE}), {NASA} Langley Research Center", address = "Hampton", year = "1990"} @techreport {J23, author = "{Jones, M. T.} and {Patrick, M. L.}", title = "The Use of {Lanczos's} Method to Solve the Large Generalized Symmetric Definite Eigenvalue Problem", type = "{Tech. Report}", number = "89-67", institution = "Institute for Computer Applications in Science and Engineering ({ICASE}), {NASA} Langley Research Center", address = "Hampton", year = "1989"} @article {J24, author = "{Johnson, D. B.}", title = "Efficient Algorithms for Shortest Paths in Sparse Networks", journal = "J. ACM", volume = "24", pages = "1--13", year = "1977"} @article {J25, author = "{Jennings, A.}", title = "A Compact Storage Scheme for the Solution of Symmetric Linear Simultaneous Equations", journal = "Computing J.", volume = "9", pages = "281--285", year = "1966"} @article {J26, author = "{Jennings, A.} and {Malik, G. M.}", title = "Partial Elimination", journal = "J. Inst. Math. Appl.", volume = "20", pages = "307--316", year = "1977"} @article {J27, author = "{Johnson, D. M.} and {Dulmage, A. L.} and {Mendelsohn, N. S.}", title = "Connectivity and Reducibility of Graphs", journal = "Cand. J. Math.", volume = "14", pages = "529--539", year = "1963"} @inproceedings {J28, author = "{Jouppi, N. P.} and {Wall, D. W.}", title = "Available Instruction-level Parallelism for Superscalar and Superpipelined Machines", booktitle = "Proc. $3^{rd}$ Conference on Architectural Support for Programming Languages and Operating Systems", organization = "IEEE/ACM", pages = "272--282", address = "Boston", year = "1989"} @incollection {J29, author = "{Jennings, A.} and {Tuff, A. D.}", title = "A Direct Method for the Solution of Large Sparse Symmetric Simultaneous Equations", editor = "{Reid, J. K.}", booktitle = "Large Sparse Sets of Linear Equations", pages = "97--104", publisher = "Academic Press", year = "1971"} @article {J30, author = "{Jennings, A.}", title = "A Sparse Matrix Scheme for the Computer Analysis of Structures", journal = "Int. J. of Comp. Math.", volume = "2", pages = "1--21", year = "1968"} @article {J31, author = "{Jensen, H. G.}", title = "Efficient Matrix Techniques Applied to Transmission Tower Design", journal = "Proc. IEEE", volume = "55", pages = "1997--2000", year = "1967"} @article {J32, author = "{Jodeit, J. G.}", title = "Storage Organization in Programming Systems", journal = "Comm. ACM", volume = "11", pages = "741--746", year = "1968"} @article {J33, author = "{Jewell, J. G.}", title = "Ordering Systems of Equations", journal = "SIAM J. Appl. Math.", volume = "9", pages = "55--71", year = "1961"} @book {J34, editor = "{Jaeger, A.} and {Wenke, K.}", title = "Lineare Wirtschaftsalgebra", publisher = "Teubner", address = "Berlin", year = "1969"} @article {J35, author = "{Jennings, A.}", title = "A Direct Method for Computing Latent Roots and Vectors of a Symmetric Matrix", journal = "Proc. Cambridge Philos. Soc.", volume = "63", pages = "755--765", year = "1967"} @techreport {J36, author = "{Jensen, P. S.} and {Loden, W. A.}", title = "Supplementary Study on the Sensitivity of Optimized Structures", type = "{Tech. Report}", number = "LMSC-D-777859", institution = "Lockheed Palo Alto Research Laboratory", year = "1980"} % (K) ........................................................................ @article {K1, author = "{Karmarkar, N.}", title = "A New Polynomial Time Algorithm for Linear Programming", journal = "Combinatorica", volume = "4", pages = "373--395", year = "1984"} @techreport {K2, author = "{Karmarkar, N.} and {Ramakrishnan, K.}", title = "Implementation and Computational Results of the {Karmarkar} Algorithm for Linear Programming Using an Iterative Method for Computing Projections", type = "{Tech. Report}", institution = "AT\&T, BELL Labs.", address = "New Jersey", year = "1988"} @book {K3, author = "{Knuth, D. E.}", title = "The Art of Computer Programming, volume {1}~: Fundamental Algorithms", edition = "$2^{nd}$", publisher = "Addison-Wesley", year = "1973"} @book {K4, author = "{Knuth, D. E.}", title = "The Art of Computer Programming, volume {3}~: Sorting and Searching", publisher = "Addison-Wesley", year = "1973"} @article {K5, author = "{Knuth, D. E.}", title = "An Empirical Study of {FORTRAN} Programs", journal = "Software Practice and Experience", volume = "1", number = "2", pages = "105--133", year = "1971"} @incollection {K6, author = "{Kung, H. T.} and {Leiserson, C. E.}", title = "Systolic Arrays for {VLSI}", editor = "{Duff, I.} and {Stewart, G.}", booktitle = "Sparse Matrix Proceedings 1978", pages = "256--282", publisher = "SIAM Publications", year = "1979"} @book {K7, author = "{Kernighan, B. W.} and {Plauger, P. J.}", title = "Software Tools", publisher = "Addison-Wesley", year = "1976"} @article {K8, author = "{Sreenivasa Kumar, P.} and {Kishore Kumar, M.} and {Basu, A.}", title = "A Parallel Algorithm for Elimination Tree Computation and Symbolic Factorization", journal = "Parallel Computing", volume = "18", pages = "849--856", year = "1992"} @article {K9, author = "{Sreenivasa Kumar, P.} and {Kishore Kumar, M.} and {Basu, A.}", title = "Parallel Algorithms for Sparse Triangular System Solution", journal = "Parallel Computing", volume = "19", pages = "187--196", year = "1993"} @techreport {K10, author = "{Kratzer, S. G.}", title = "Massively Parallel Sparse Matrix Computations", type = "{Tech. Report}", number = "SRC-TR-90-008", institution = "Supercomputer Research Center", address = "Bowie", year = "1990"} @book {K11, author = "{Knuth, D. E.}", title = "Mathematical Analysis of Algorithms", publisher = "Information Processing", year = "1971"} @book {K12, editor = "{Klein, F.} and others", title = "Famous Problems and other Monographs", edition = "$2^{nd}$", publisher = "Chelsea Publishing", year = "1962"} @book {K13, author = "{Kaplan, W.}", title = "Advanced Calculus", publisher = "Addison-Wesley", year = "1953"} @book {K14, author = "{Kantorovich, L. V.} and {Krylov, V. I.}", title = "Approximate Methods of Higher Analysis", note = "({Translated from the Russian original})", address = "Groningen", publisher = "Noordhoff", year = "1958"} @book {K15, author = "{Kahaner, D.} and {Moler, C. B.} and {Nash, S.}", title = "Numerical Methods and Software", publisher = "Prentice-Hall", year = "1989"} @inproceedings {K16, author = "{Kaskurewickz, E.} and {Bhaya, A.}", title = "Sistemas Din\^amicos de Grande Porte~: {Estabilidade}", booktitle = "{I} Escola Brasileira de Otimiza\c c\~ao", address = "Rio de Janeiro", pages = "80--93", year = "1989"} @techreport {K17, author = "{Kranich E.}", title = "Interior Point Methods for Mathematical Programming~: {A} Bibliography", type = "{Tech. Report}", number = "171", institution = "Institute of Economy and Operations Research, Fern Univ. Hagen", address = "P.O. Box 940, D-5800 Hagen 1, West Germany", year = "1991"} @article {K18, author = "{Karmarkar, N.} and {Lagarias, J. C.} and {Slutsman, L.} and {Wang, P.}", title = "Power Series Variants of {Karmarkar-type} Algorithms", journal = "AT\&T Technical Journal", volume = "68", number = "3", pages = "20--36", year = "1989"} @book {K19, author = "{Kron, G.}", title = "Diakoptics", publisher = "MacDonald", address = "London", year = "1963"} @article {K20, author = "{Krogh, F. T.} and {van Snyder, W.}", title = "Algorithm 669~: {A} New Representation of {Patterson's} Quadrature Formulae", journal = "ACM Trans. Math. Software", volume = "17", number = "4", pages = "457--461", year = "1991"} @book {K21, author = "{Kernighan, B. W.} and {Plauger, P. J.}", title = "The Elements of Programming Style", publisher = "McGraw-Hill", year = "1974"} @article {K22, author = "{Kundur, P.} and {Rogers, G. J.} and {Wong, D. Y.} and {Wang, L.} and {Lauby, M. G.}", title = "A Comprehensive Computer Program Package for Small Signal Stability Analysis of Power Systems", journal = "IEEE Trans. Power Systems", volume = "PWRS-5", pages = "1076--1083", year = "1990"} @article {K23, author = "{Karp, A. H.}", title = "Programming for Parallelism", journal = "IEEE Computer", volume = "20", pages = "43--57", year = "1987"} @incollection {K24, author = "{Kaszkurewicz, E.} and {Bhaya, A.} and {Siljak, D. D.}", title = "On the Convergence of Parallel Asynchronous Block-Iterative Computations", booktitle = "Linear Algebra and Its Applications", pages = "139--160", publisher = "Elsevier Science Publishing Co.", year = "1990"} @article {K25, author = "{Kirkpatrick, S.} and {Gelatt, C. D. Jr.} and {Vecchi, P.}", title = "Optimization by Simulated Annealing", journal = "Science", volume = "220", number = "4598", pages = "671--680", year = "1983"} @article {K26, author = "{Khachiyan, L. G.}", title = "A Polynomial Algorithm for Linear Programming", journal = "Soviet Math. Doklady", volume = "20", pages = "191--194", note = "({Russian original in Doklady Akademiia Nauk SSSR, 244:1093--1096})", year = "1979"} @book {K27, author = "{Kojima, M.} and {Megiddo N.} and {Nooma, T.} and {Yoshise, A.}", title = "A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems", series = "Lecture Notes in Computer Science", volume = "538", publisher = "Springer-Verlag", year = "1991"} @book {K28, author = "{Korth, H. F.} and {Silberchatz, A.}", title = "Database System Concepts", publisher = "McGraw-Hill", year = "1986"} @inbook {K29, author = "{Kwong, S. W.} and {Wood, D.}", title = "Proc. $4^{th}$ International Symposium on Programming", chapter = "Concurrent Operations in Large Ordered Indexes", volume = "83", series = "Lecture Notes in Computer Science", publisher = "Springer-Verlag", pages = "208--221", year = "1980"} @misc {K30, author = "{Kendrick, D.} and {Meeraus, A.}", title = "{GAMS}~: {An} Introduction", note = "Development Research Dept., World Bank", year = "1984"} @manual {K31, author = "{Kernigham, B. W.} and {McIlroy, M. D.}", title = "{UNIX} Programmer's Manual", organization = "BELL Labs.", address = "Murray Hill", note = "($7^{th}$ edition)", year = "1990"} @book {K32, author = "{Kernigham, B. W.} and {Ritchie, D. M.}", title = "The ${C}$ Programming Language", publisher = "Prentice-Hall", year = "1978"} @article {K33, author = "{Knuth, D. E.}", title = "Structured Programming with {GOTO} Statements", journal = "ACM Computing Surveys", volume = "6", pages = "261", year = "1974"} @incollection {K34, author = "{Karp, R. M.}", title = "Reducibility Among Combinatorial Problems", editor = "{Miller, R. E.}", booktitle = "Complexity of Computer Computations", pages = "85--103", publisher = "Plenum Press", year = "1972"} @article {K35, author = "{Karp, R. M.}", title = "On the Complexity of Combinatorial Problems", journal = "Networks", volume = "5", pages = "45--68", year = "1975"} @article {K36, author = "{Klee, V.}", title = "Combinatorial Optimization~: {What} is the State of the Art~?", journal = "Math. Oper. Res.", volume = "5", pages = "1--26", year = "1980"} @article {K37, author = "{Knuth, D. E.}", title = "A Generalization of {Dijkstra's} Algorithm", journal = "Inform. Process. Lett.", volume = "6", pages = "1--5", year = "1977"} @article {K38, author = "{Kolmogorov, A.}", title = "Three Approaches to the Quantitative Definition of Information", journal = "Problems Inform. Transmission", volume = "1", pages = "1--7", year = "1965"} @article {K39, author = "{K{\"o}nig, D.}", title = "Graphen und Matrizen", journal = "Mat. Fiz. Lapok", volume = "38", pages = "116--119", year = "1931"} @techreport {K40, author = "{Kaufman, L.}", title = "Computing the ${MDM}^{T}$ Decomposition", type = "{Tech. Report}", number = "11274-91-1011-20", institution = "BELL Labs.", year = "1991"} @article {K41, author = "{Kernighan, B. W.} and {Lin, S.}", title = "An Efficient Heuristic Procedure for Partitioning Graphs", journal = "BELL System Tech. Journal", volume = "49", pages = "291--307", year = "1970"} @article {K42, author = "{King, I. P.}", title = "An Automatic Reordering Scheme for Simultaneous Equations Derived from Network Problems", journal = "Int. J. Numer. Meth. in Eng.", volume = "2", pages = "523--533", year = "1970"} @article {K43, author = "{Karp, R. M.}", title = "Combinatorics, Complexity, and Randomness", journal = "Comm. ACM", volume = "29", pages = "98--109", year = "1986"} @techreport {K44, author = "{Kaufman, L.}", title = "Usage of the Sparse Matrix Programs in the {PORT} Library", type = "{Tech. Report}", number = "105", institution = "AT\&T BELL Labs.", address = "Murray Hill", year = "1982"} @article {K45, author = "{Karp, A. H.} and {Babb, R.}", title = "A Comparison of 12 Parallel {FORTRAN} Dialects", journal = "IEEE Software", pages = "52--67", year = "1988"} @book {K46, author = "{Kogge, P.}", title = "The Architecture of Pipelined Computers", publisher = "McGraw-Hill", year = "1981"} @article {K47, author = "{Kincaid, D. R.} and {Respess, J. R.} and {Young, D. M.} and {Grimes, R. G.}", title = "{ITPACK 2C}~: {A} {FORTRAN} Package for Solving Large Sparse Linear Systems by Adaptive Accelerated Iterative Methods", journal = "ACM Trans. Math. Software", volume = "8", number = "3", pages = "302--322", year = "1982"} @article {K48, author = "{Kaufman, L.}", title = "Application of Dense {Householder} Transformations to a Sparse Matrix", journal = "ACM Trans. Math. Software", volume = "5", pages = "442--450", year = "1979"} @article {K49, author = "{Kaufman, L.}", title = "The Generalized {Householder} Transformation and Sparse Matrices", journal = "Lin. Alg. Appl.", volume = "90", pages = "221--234", year = "1987"} @inproceedings {K50, author = "{Kung, S.} and {Gal-Ezar, R.}", title = "Linear or Sparse Array for Eigenvalue and Singular Value Decompositions~?", booktitle = "Proc. {USC} Workshop on {VLSI} and Modern Signal Processing", address = "Los Angeles", pages = "89--98", year = "1982"} @article {K51, author = "{Kung, S.} and {Gal-Ezar, R.} and {Arun, K.} and {Bhaskarrao, D.}", title = "Wavefront Array Processor~: {Architecture}, Language and Application", journal = "IEEE Trans. Comput", volume = "C-31", pages = "1054--1066", year = "1982"} @incollection {K52, author = "{Kahan, W.} and {Parlett, B. N.}", title = "How Far Should you go with the {Lanczos} Process~?", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", pages = "131--144", publisher = "Academic Press", year = "1976"} @incollection {K53, author = "{Klee, V.} and {Minty, G. J.}", title = "How Good is the Simplex Algorithm~?", editor = "{Shisha, O.}", booktitle = "Inequalities -- {III}", pages = "159--175", publisher = "Academic Press", year = "1972"} @article {K54, author = "{Keller, R. M.}", title = "Look-ahead Processors", journal = "ACM Computing Surveys", volume = "7", number = "4", pages = "177--195", year = "1975"} @inproceedings {K55, author = "{Kunkel, S. R.} and {Smith, J. E.}", title = "Optimal Pipelining in Supercomputers", booktitle = "Proc. $13^{th}$ Symposium on Computer Architecture", pages = "404--414", address = "Tokyo", year = "1986"} @techreport {K56, author = "{Karmarkar, N.} and {Resende, M. G. C.} and {Ramakrishnan, K.}", title = "A Interior Point Algorithm to Solve Computationally Difficult Set Covering Problems", type = "{Manuscript}", institution = "AT\&T BELL Labs.", address = "Murray Hill", year = "1989"} @inproceedings {K57, author = "{Karmarkar, N.}", title = "A New Polynomial Time Algorithm for Linear Programming", booktitle = "Proc. $16^{th}$ Annual ACM Symposium on the Theory of Computing", pages = "302--311", year = "1984"} @unpublished {K58, author = "{Karmarkar, N.} and {Sinha, L. P.}", title = "Application of {Karmarkar's} Algorithm to Overseas Telecommunications Facilities Planning", note = "(Presented at {$12^{th}$ International Symposium on Mathematical Programming, Boston})", year = "1985"} @article {K59, author = "{Khachiyan, L. G.}", title = "Polynomial Algorithms in Linear Programming", journal = "USSR Computational Mathematics and Math. Phys.", volume = "20", pages = "53--72", note = "({Russian original in Zhurnal Vychisditel'noi Matematiki i Matematicheskoi Fiziki, 20:51--68})", year = "1980"} @techreport {K60, author = "{Khachiyan, L. G.} and {Todd, M. J.}", title = "On the Complexity of Approximating the Maximal Inscribed Ellipsoid for a Polytope", type = "{Tech. Report}", number = "893", institution = "School of Operations Research and Industrial Engineering, Cornell Univ.", address = "Ithaca", year = "1990"} @mastersthesis {K61, author = "{Karush, W.}", title = "Minima of Functions of Several Variables with Inequalities as Side Constraints", school = "Dept. of Mathematics, Univ. of Chicago", year = "1939"} @inproceedings {K62, author = "{Kuhn, H. W.} and {Tucker, A. W.}", title = "Nonlinear Programming", booktitle = "Proc. $2^{nd}$ Berkeley Symposium on Mathematical Statistics and Probabilistics", pages = "481--492", publisher = "University of California Press", address = "Berkeley", year = "1951"} @article {K63, author = "{Kennington, J. L.}", title = "A Survey of Linear Cost Multicommodity Network Flows", journal = "Operations Res.", volume = "26", pages = "209--236", year = "1978"} @article {K64, author = "{Karp, R. M.} and {Papadimitriou, C. H.}", title = "On Linear Characterizations of Combinatorial Optimization Problems", journal = "SIAM J. Comput.", volume = "11", pages = "620--632", year = "1982"} @article {K65, author = "{Kantorovich, L. V.}", title = "Mathematical Methods of Organizing and Planning Production", journal = "Management Science", volume = "6", pages = "366--422", note = "({Russian original by Publication House of the Leningrad State University, 1939})", year = "1959"} @incollection {K66, author = "{Kuhn, H. W.} and {Quandt, R. E.}", title = "An Experimental Study of the Simplex Method", editor = "{Metropolis} and others", booktitle = "Proc. Symposia in Applied Mathematics, volume 15, AMS", year = "1963"} @book {K67, author = "{K{\"o}nig, D.}", title = "Theorie der Endlichen and Unendlichen Graphen", publisher = "Chelsea", address = "New York", year = "1950"} @article {K68, author = "{Kuch, D. J.}", title = "{ILLIAC IV} Software and Application Programming", journal = "IEEE Trans. Comput.", volume = "C-17", pages = "758--770", year = "1968"} @article {K69, author = "{Kahan, W.}", title = "Numerical Linear Algebra", journal = "Canadian Math. Bull.", volume = "9", pages = "757--801", year = "1966"} @article {K70, author = "{Kuo, F. F.}", title = "Network Analysis by Digital Computer", journal = "Proc. IEEE", volume = "54", pages = "820--829", year = "1966"} @book {K71, editor = "{Kuo, F. F.} and {Kaiser, J. F.}", title = "System Analysis by Digital Computer", publisher = "John Wiley \& Sons", year = "1966"} @article {K72, author = "{Karp, R. M.} and {Miller, R. E.}", title = "Properties of a Model for Parallel Computation~: Determinancy, Termination, Queueing", journal = "SIAM J. Appl. Math.", volume = "14", year = "1966"} @article {K73, author = "{Karp, R. M.}", title = "Some Bounds on the Storage Requirements of Sequential Machines and {Turing} Machines", journal = "J. ACM", volume = "14", pages = "478--489", year = "1967"} @article {K74, author = "{Karp, R. M.} and {Miller, R. E.} and {Winograd, S.}", title = "The Organization of Computations for Uniform Recurrence Equations", journal = "J. ACM", volume = "14", pages = "563--590", year = "1967"} @article {K75, author = "{Karp, R. M.} and {Miller, R. E.}", title = "Parallel Program Schemata", journal = "J. Comput. System. Sci.", volume = "3", pages = "147--195", year = "1969"} @inproceedings {K76, author = "{Kotov, V. E.} and {Maringani, A. S.}", title = "On Transformations of Sequential Programs into Asynchronous Parallel Programs", booktitle = "{IFIP} Congress", address = "Edinburgh", year = "1968"} @article {K77, author = "{Kron, G.}", title = "A Set of Principles to Interconnect the Solutions of Physical Systems", journal = "J. Appl. Phys.", volume = "24", pages = "965--980", year = "1953"} @article {K78, author = "{Kron, G.}", title = "Solving Highly Complex Elastic Structures in Easy Stages", journal = "J. Appl. Mech.", volume = "22", pages = "235--244", year = "1955"} @article {K79, author = "{Kron, G.}", title = "Tearing and Interconnecting as a Form of Transformation", journal = "Quart. Appl. Math.", volume = "13", pages = "147--159", year = "1955"} @article {K80, author = "{Kosko, E.}", title = "Matrix Inversion by Partitioning", journal = "Aero. Quart.", volume = "8", pages = "157--184", year = "1957"} @book {K81, author = "{Kron, G.}", title = "Tensor Analysis of Networks", publisher = "John Wiley \& Sons", year = "1939"} @techreport {K82, author = "{Klyuyev, V. V.} and {Kokovkin-Shcherbak, N. I.}", title = "On the Minimization of the Number of Arithmetic Operations for the Solution of Linear Algebraic Systems", type = "{Tech. Report}", number = "CS-24", institution = "Computer Science Dept., Stanford Univ.", year = "1965"} @article {K83, author = "{Kuh, E. S.} and {Rohrer, R. A.}", title = "The State-Variable Approach to Network Analysis", journal = "Proc. of the IEEE", volume = "53", pages = "672--686", year = "1965"} @book {K84, author = "{Kuntzmann, J.}", title = "M\'ethodes Num\'eriques~: {Interpolation}, D\'eriv\'ees", publisher = "Dunod", year = "1959"} @book {K85, author = "{Korganoff, A.}", title = "M\'ethodes de Calcul Num\'erique -- {I}", publisher = "Dunod", year = "1960"} @incollection {K86, author = "{Kevorkian, A. K.} and {Snoek, J.}", title = "Decomposition in Large Scale Systems~: {Theory} and Applications of Structural Analysis in Partitioning, Disjointing and Constructing Hierarchical Systems", editor = "{Himmelblau, D. M.}", booktitle = "Proc. {NATO} Conference at Cambridge, 1972", pages = "467--489", publisher = "North-Holland", year = "1973"} @incollection {K87, author = "{Kevorkian, A. K.} and {Snoek, J.}", title = "Decomposition in Large Scale Systems~: {Theory} and Applications in Solving Large Sets of Nonlinear Simultaneous Equations", editor = "{Himmelblau, D. M.}", booktitle = "Proc. {NATO} Conference at Cambridge, 1972", pages = "491--515", publisher = "North-Holland", year = "1973"} @article {K88, author = "{Key, J. E.}", title = "Computer Program for Solution of Large Sparse Unsymmetric Systems of Linear Equations", journal = "Int. J. Numer. Meth. Eng.", volume = "6", pages = "497--509", year = "1973"} @article {K89, author = "{Kublanovskaja, V. N.} and {Savinov, G. V.} and {Smirnova, T. N.}", title = "On the Solution of Problems with Sparse Matrices", journal = "Zap. Naum. Sem. Leningrad, Otdel. Mat. Inst. Steklov. (LOMI)", volume = "35", pages = "75--94", note = "({In Russian})", year = "1973"} @article {K90, author = "{Kuhn, H. W.}", title = "The {Hungarian} Method of Solving the Assignment Problem", journal = "Naval Res. Logistics Quart.", volume = "2", pages = "83--97", year = "1955"} @article {K91, author = "{Kuhn, H. W.}", title = "Variants of the {Hungarian} Method for Assignment Problems", journal = "Naval Res. Logistics Quart.", volume = "3", pages = "253--258", year = "1957"} @book {K92, editor = "{Kuo, F. F.} and {Magnuson, W. G.}", title = "Computer Oriented Circuit Design", publisher = "Prentice Hall", year = "1969"} @article {K93, author = "{Kahaner, D. K.}", title = "Benchmarks for `Real' Programs", journal = "SIAM News", volume = "", month = "November", year = "1988"} @book {K94, author = "{Kane, G.}", title = "{MIPS} {RS2000} {RISC} Architecture", publisher = "Prentice Hall", year = "1986"} @book {K95, author = "{Kane, G.}", title = "{MIPS} {RISC} Architecture", publisher = "Prentice Hall", year = "1988"} @article {K96, author = "{Karmarkar, N.}", title = "{Rieamannian} Geometry Underlying Interior-Point Methods for Linear Programming", journal = "Contemporary Mathematics", volume = "114", pages = "51--75", year = "1990"} @article {K97, author = "{Kruskal, J. B.}", title = "On the Shortest Spanning Subtree of a Graph and the Traveling Salesman Problem", journal = "Proc. of the AMS", volume = "2", pages = "48--50", year = "1956"} @inproceedings {K98, author = "{Karypis, G.} and {Gupta, A.} and {Kumar, V.}", title = "A Parallel Formulation of Interior Point Algorithms", booktitle = "Proc. Supercomputing '94", pages = "204--213", publisher = "IEEE Computer Society Press", year = "1994"} @article {K99, author = "{Knowlton, K. C.}", title = "A Fast Storage Allocator", journal = "Comm. ACM", volume = "8", pages = "623--625", year = "1965"} @book {K100, author = "{Kuck, D.}", title = "The Structure of Computers and Computations, Volume {1}", publisher = "John Wiley \& Sons", year = "1978"} % (L) ........................................................................ @article {L1, author = "{Liu, J. W. H.}", title = "A Note on Sparse Factorization in a Paging Environment", journal = "SIAM J. Sci. and Stat. Comput.", volume = "8", number = "6", pages = "1085--1888", year = "1987"} @article {L2, author = "{Liu, J. W. H.}", title = "Computational Models and Task Scheduling for Parallel Sparse {Cholesky} Factorization", journal = "Parallel Computing", volume = "3", pages = "327--342", year = "1986"} @article {L3, author = "{Liu, J. W. H.}", title = "Reordering Sparse Matrices for Parallel Elimination", journal = "Parallel Comput.", volume = "11", pages = "73--91", year = "1989"} @article {L4, author = "{Liu, J. W. H.}", title = "The Multifrontal Method for Sparse Matrix Solution~: {Theory} and Practice", journal = "SIAM Review", volume = "34", number = "1", pages = "82--109", year = "1992"} @article {L5, author = "{Liu, J. W. H.}", title = "Modification of the Minimum-Degree Algorithm by Multiple Elimination", journal = "ACM Trans. Math. Software", volume = "11", number = "2", pages = "141--153", year = "1985"} @article {L6, author = "{Liu, J. W. H.}", title = "The Minimum Degree Ordering with Constraints", journal = "SIAM J. Sci. and Stat. Comput.", volume = "10", number = "6", pages = "1136--1145", year = "1989"} @article {L7, author = "{Liu, J. W. H.}", title = "A Graph Partitioning Algorithm by Node Separators", journal = "ACM Trans. Math. Software", volume = "15", number = "3", pages = "198--219", year = "1989"} @article {L8, author = "{Liu, J. W. H.}", title = "The Multifrontal Method and Paging in Sparse {Cholesky} Factorization", journal = "ACM Trans. Math. Software", volume = "15", number = "4", pages = "310--325", year = "1989"} @article {L9, author = "{Liu, J. W. H.}", title = "A Generalized Envelope Method for Sparse Factorization by Rows", journal = "ACM Trans. Math. Software", volume = "17", number = "1", pages = "112--129", year = "1991"} @article {L10, author = "{Liu, J. W. H.}", title = "A Compact Row Storage Scheme for {Cholesky} Factors Using Elimination Trees", journal = "ACM Trans. Math. Software", volume = "12", number = "2", pages = "127--148", year = "1986"} @article {L11, author = "{Liu, J. W. H.}", title = "The Role of Elimination Trees in Sparse Factorizations", journal = "SIAM J. Matrix Anal. and Appl.", volume = "11", number = "1", pages = "134--172", year = "1990"} @article {L12, author = "{Liu, J. W. H.}", title = "Equivalent Sparse Matrix Reordering by Elimination Tree Rotations", journal = "SIAM J. Sci and. Stat. Comput.", volume = "9", number = "3", pages = "424--444", year = "1988"} @article {L13, author = "{Liu, J. W. H.}", title = "An Adaptive General Sparse Out-of-Core {Cholesky} Factorization Scheme", journal = "SIAM J. Sci. and Stat. Comput.", volume = "8", number = "4", pages = "585--599", year = "1987"} @article {L14, author = "{Liu, J. W. H.}", title = "On the Storage Required in the Out-of-Core Multifrontal Method for Sparse Factorization", journal = "ACM Trans. Math. Software", volume = "12", number = "3", pages = "249--264", year = "1986"} @article {L15, author = "{Liu, J. W. H.}", title = "A Partial Pivoting Strategy for Sparse Symmetric Matrix Decomposition", journal = "ACM Trans. Math. Software", volume = "13", number = "2", pages = "173--182", year = "1987"} @article {L16, author = "{Liu, J. W. H.}", title = "On Threshold Pivoting in the Multifrontal Method for Sparse Indefinite Systems", journal = "ACM Trans. Math. Software", volume = "13", number = "3", pages = "250--261", year = "1987"} @article {L17, author = "{Liu, J. W. H.} and {Mirzaian, A.}", title = "A Linear Reordering Algorithm for Parallel Pivoting of Chordal Graphs", journal = "SIAM J. Discr. Math.", volume = "2", pages = "100--107", year = "1989"} @unpublished {L18, author = "{Liu, J. W. H.} and {Ng, E.}", title = "A Supernodal Symbolic {Cholesky} Factorization on a Local-Memory Multiprocessor", note = "({In preparation})", year = "1990"} @article {L19, author = "{Law, K. H.} and {Fenves, S. J.}", title = "A Node-Addition Model for Symbolic Factorization", journal = "ACM Trans. Math. Software", volume = "12", number = "1", pages = "37--50", year = "1986"} @techreport {L20, author = "{Lam, B.}", title = "Methods for Solving Large Sparse Indefinite Systems of Linear Equations", type = "{Tech. Report}", number = "53", institution = "Australian National Univ., Computer Centre", year = "1976"} @article {L21, author = "{Lewis, J. G.} and {Simon, H. D.}", title = "The Impact of Hardware Gather/Scatter on Sparse {Gaussian} Elimination", journal = "SIAM J. Sci. and Stat. Comput.", volume = "9", number = "2", pages = "304--311", year = "1988"} @techreport {L22, author = "{Li, G.} and {Coleman, T. F.}", title = "A Parallel Triangular Solver for a Hypercube Multiprocessor", type = "{Tech. Report}", number = "86-787", institution = "Dept. of Computer Science, Cornell Univ.", address = "Ithaca", year = "1986"} @techreport {L23, author = "{Lima, L. T. G.} and {Martins, N.} and {Pinto, H. J. C. P.}", title = "Mixed Real/Complex Factorization", type = "{Paper}", number = "92-WM-288-1-PWRS", institution = "Centro de Pesquisas em Energia El\'etrica (CEPEL)", address = "Rio de Janeiro", note = "(Presented at {IEEE} {Winter Power Meeting})", year = "1992"} @book {L24, author = "{Leighton, F. T.}", title = "Introduction to Parallel Architectures~: Arrays, Trees, Hypercubes", publisher = "Morgan Kaufmann Publishers", year = "1992"} @article {L25, author = "{Lootsma, F. A.}", title = "State of the Art in Parallel Nonlinear Optimization", journal = "Parallel Computing", volume = "6", pages = "133--156", year = "1988"} @book {L26, author = "{Lawson, C. L.} and {Hanson, R. J.}", title = "Solving Least Squares Problems", publisher = "Prentice-Hall", note = "(Reedited by {SIAM Publications} na s\'erie {Classics in Applied Mathematics, volume 15, 1995})", year = "1974"} @book {L27, author = "{Lasdon, L. S.}", title = "Optimization Theory for Large Systems", publisher = "Macmillan Publishing Co.", year = "1970"} @article {L28, author = "{Llewellyn, J.} and {Sharda, R.}", title = "Linear Programming Software for Personal Computers~: 1990 {Survey}", journal = "OR/MS Today", pages = "35--47", month = "October", year = "1990"} @techreport {L29, author = "{Loute, E.} and {Vial, J. P.}", title = "A Parallelisable Block {Cholesky} Factorization for Staircase Linear Programming Problems", type = "{Tech. Report}", institution = "Faculte des Sciences Economiques et Sociales, Departement d'Economie Comerciale et Industrielle, Univ. de Geneve", year = "1992"} @article {L30, author = "{Lustig, I. J.}", title = "The Influence of Computer Language on Computational Comparisons~: {An} Example from Network Optimization", journal = "ORSA J. Computing", volume = "2", number = "2", pages = "152--161", year = "1990"} @article {L31, author = "{Lustig, I. J.} and {Marsten, R. E.} and {Shanno, D. F.}", title = "Interior Point Methods for Linear Programming~: {Computational} State of the Art", journal = "ORSA J. Computing", volume = "6", number = "1", pages = "1--14", year = "1994"} @article {L32, author = "{Lustig, I. J.} and {Marsten, R. E.} and {Shanno, D. F.}", title = "The Last Word on Interior Point Methods for Linear Programming~: {For Now}", journal = "ORSA J. Computing", volume = "6", number = "1", pages = "35--36", year = "1994"} @mastersthesis {L33, author = "{Larrazabal, M. R.}", title = "Implementaci\'on Eficiente de Algoritmos de Puntos Interiores para Programaci\'on Lineal", school = "Univ. Sim\'on Bol\'\i var", year = "1991"} @techreport {L34, author = "{Lustig, I. J.}", title = "An Analysis of an Available Set of Linear Programming Test Problems", type = "{Tech. Report}", number = "SOL-87-11", institution = "Systems Optimization Laboratory, Dept. of Operations Research, Stanford Univ.", note = "({Reduced version in Comput. Oper. Res., 16(2):173--184, 1989})", year = "1987"} @article {L35, author = "{Lawson, C. L.} and {Hanson, R. J.} and {Kincaid, D. R.} and {Krogh, F. T.}", title = "{B}asic {L}inear {A}lgebra {S}ubprograms for {FORTRAN} usage", journal = "ACM Trans. Math. Software", volume = "5", number = "3", pages = "308--323", year = "1979"} @article {L36, author = "{Lawson, C. L.} and {Hanson, R. J.} and {Kincaid, D. R.} and {Krogh, F. T.}", title = "Algorithm 539~: {B}asic {L}inear {A}lgebra {S}ubprograms for {FORTRAN} usage", journal = "ACM Trans. Math. Software", volume = "5", number = "3", pages = "324--325", year = "1979"} @article {L37, author = "{Lipton, R. J.} and {Rose, D. J.} and {Tarjan, R. E.}", title = "Generalized Nested Dissection", journal = "SIAM J. Numer. Anal.", volume = "16", pages = "346--358", year = "1979"} @article {L38, author = "{Li, G.} and {Coleman, T. F.}", title = "A Parallel Triangular Solver for a Distributed-Memory Multiprocessor", journal = "SIAM J. Sci and Stat. Comp.", volume = "9", pages = "485--502", year = "1988"} @article {L39, author = "{Li, G.} and {Coleman, T. F.}", title = "A New Method for Solving Triangular Systems on Distributed-Memory Message-Passing Multiprocessor", journal = "SIAM J. Sci and Stat. Comp.", volume = "10", pages = "382--396", year = "1989"} @techreport {L40, author = "{Liu, J. W. H.} and {Ng, E.} and {Peyton, B. W.}", title = "On Finding Supernodes for Sparse Matrix Computations", type = "{Tech. Report}", number = "ORNL-TM-11563", institution = "Oak Ridge National Laboratory", year = "1990"} @book {L41, author = "{Lorin, H.}", title = "Sorting and Sorting Systems", publisher = "Addison-Wesley", year = "1975"} @book {L42, editor = "{Lawler, E. L.} and {Lenstra, J. K.} and {Rinnooy Kan, A. H. G.} and {Shimoys, D. B.}", title = "The Traveling Salesman Problem~: A Guided Tour of Combinatorial Optimization", publisher = "John Wiley \& Sons", year = "1985"} @book {L43, author = "{Lanczos, C.}", title = "Applied Analysis", publisher = "Van Nostrand, Prentice-Hall", year = "1956"} @book {L44, author = "{Lanczos, C.}", title = "Discourse on Fourier Series", publisher = "Oliver and Boyd", year = "1966"} @book {L45, author = "{Land, A. H.} and {Powell, S.}", title = "{FORTRAN} Codes for Mathematical Programming", publisher = "John Wiley \& Sons", year = "1973"} @book {L46, author = "{Luke, Y.}", title = "Mathematical Functions and Their Approximations", publisher = "Academic Press", year = "1975"} @book {L47, author = "{Luenberger, D. G.}", title = "Introduction to Linear and Nonlinear Programming", publisher = "Addison-Wesley", year = "1984"} @article {L48, author = "{Lemke, C. E.}", title = "The Dual Method of Solving the Linear Programming Problem", journal = "Naval Res. Logistics Quart.", volume = "1", pages = "36--47", year = "1954"} @article {L49, author = "{Lustig, I. J.}", title = "Feasibility Issues in a Primal-Dual Interior Point Method for Linear Programming", journal = "Math. Programming", volume = "49", pages = "145--162", year = "1990"} @article {L50, author = "{Lustig, I. J.} and {Marsten, R. E.} and {Shanno, D. F.}", title = "Computational Experience with a Primal-Dual Interior Point Method for Linear Programming", journal = "Lin. Alg. Appl.", volume = "152", pages = "191--222", year = "1991"} @article {L51, author = "{Lustig, I. J.} and {Marsten, R. E.} and {Shanno, D. F.}", title = "Interior Point vs. Simplex Method~: {Beyond} {NETLIB}", journal = "COAL Newsletter", volume = "19", pages = "41--44", year = "1991"} @techreport {L52, author = "{Lustig, I. J.} and {Marsten, R. E.} and {Shanno, D. F.}", title = "Computational Experience with Globally Convergent Primal-Dual Predictor-Corrector Algorithm for Linear Programming", type = "{Tech. Report}", number = "SOR-92-10", institution = "School of Eng. and Applied Science, Dept. of Civil Eng. and Oper. Research, Princeton Univ.", year = "1992"} @incollection {L53, author = "{Lustig, I. J.} and {Marsten, R. E.} and {Shanno, D. F.}", title = "The Interaction of Algorithms and Architectures for Interior Point Methods", editor = "{Pardalos, P. M.}", booktitle = "Advances in Optimization and Parallel Computing", pages = "190--205", publisher = "North-Holland", year = "1992"} @incollection {L54, author = "{Lustig, I. J.} and {Marsten, R. E.} and {Shanno, D. F.}", title = "The Primal-Dual Interior Point Method on the {CRAY} Supercomputer", editor = "{Coleman, T. F.} and {Li, Y.}", booktitle = "Large-Scale Numerical Optimization", note = "(Presented at Cornell University Workshop, October 1989)", pages = "70--80", publisher = "SIAM Publications", year = "1990"} @article {L55, author = "{Lustig, I. J.} and {Marsten, R. E.} and {Shanno, D. F.}", title = "On Implementing {Mehrotra's} Predictor-Corrector Interior Point Method for Linear Programming", journal = "SIAM J. Optimization", volume = "2", pages = "435--449", year = "1992"} @techreport {L56, author = "{Lustig, I. J.} and {Mulvey, J. M.} and {Carpenter, T. J.}", title = "Formulating Stochastic Programs for Interior Point Methods", type = "{Tech. Report}", number = "SOR-89-16", institution = "School of Eng. and Applied Science, Dept. of Civil Eng. and Oper. Research, Princeton Univ.", year = "1990"} @article {L57, author = "{Liu, J. W. H.} and {Ng, E.} and {Peyton, B. W.}", title = "On Finding Supernodes for Sparse Matrix Computations", journal = "SIAM J. Matrix Anal. and Appl.", volume = "14", number = "1", pages = "242--252", year = "1993"} @techreport {L58, author = "{Liu, J. W. H.}", title = "A Collection of Routines for an Implementation of the Multifrontal Method", type = "{Tech. Report}", number = "CS-87-10", institution = "Dept. of Computer Science, York Univ.", address = "North York, Ontario", year = "1987"} @techreport {L59, author = "{Liu, J. W. H.}", title = "The Multifrontal Method for Sparse Matrix Solution~: {Theory} and Practice", type = "{Tech. Report}", number = "CS-90-04", institution = "Dept. of Computer Science, York Univ.", address = "North York, Ontario", year = "1990"} @article {L60, author = "{Lanczos, C.}", title = "An Iteration Method for the Solution of the Eigenvalue Problem of Linear Differential and Integral Operators", journal = "J. Res. Nat. Bur. Standards", volume = "45", pages = "255--281", year = "1950"} @incollection {L61, author = "{Lewis, J. G.} and {Poole, W. G. Jr.}", title = "Ordering Algorithms Applied to Sparse Matrices in Electric Power Problems", editor = "{Erisman, A. M.} and {Neves, K. W.} and {Dwarakanath, M. H.}", booktitle = "Electric Power Problems~: {The} Mathematical Challenge", pages = "115--124", publisher = "SIAM Publications", year = "1980"} @article {L62, author = "{Ledgard, H. F.} and {Marcotty, M.}", title = "A Genealogy of Control Structures", journal = "Comm. ACM", volume = "18", number = "11", pages = "629--639", year = "1975"} @article {L63, author = "{Leavenworth, B.}", title = "Control Structures in Programming Languages~: {The} {GOTO} Controversy", journal = "SIGPLAN Notices", volume = "7", number = "11", pages = "53--91", year = "1972"} @techreport {L64, author = "{Lima, L. T. G.} and {Bezerra, L. H.} and {Tomei, C.} and {Martins, N.}", title = "New Methods for Fast Small-Signal Stability Assessment of Large Scale Power Systems", type = "", institution = "Centro de Pesquisas em Energia El\'etrica (CEPEL)", address = "Rio de Janeiro", note = "(Accepted for presentation at 1995 {IEEE} {Winter Power Meeting})", year = "1995"} @mastersthesis {L65, author = "{Lima, L. T. G.}", title = "Estudo Comparativo dos M\'etodos Iterativos de C\'alculo de Autovalores Aplicado ao Problema da Estabilidade a Pequenas Perturba\c c\~oes de Sistemas El\'etricos de Pot\^encia", school = "COPPE/UFRJ", year = "1991"} @inproceedings {L66, author = "{Lin, S.} and {van Ness, J. E.}", title = "Parallel Solution of Sparse Algebraic Equations", booktitle = "Power Industry Computer Applications ({PICA})", pages = "380--386", address = "Phoenix", year = "1993"} @book {L67, author = "{Lootsma, F. A.}", title = "Numerical Methods for Nonlinear Optimization", publisher = "Academic Press", year = "1972"} @article {L68, author = "{Levenberg, K.}", title = "A Method for the Solution of Certain Problems in Least-Squares", journal = "Quart. J. of Appl. Math.", volume = "12", pages = "164--168", year = "1944"} @article {L69, author = "{Lin, Y.} and {Pang, J.}", title = "Iterative Methods for Large Convex Quadratic Programs~: {A} Survey", journal = "SIAM J. Control and Optim.", volume = "25", pages = "383--411", year = "1987"} @article {L70, author = "{Lewis, J. G.} and {Peyton, B. W.} and {Pothen, A.}", title = "A Fast Algorithm for Reordering Sparse Matrices for Parallel Factorization", journal = "SIAM J. Sci. and Stat. Comput.", volume = "10", pages = "1156--1173", year = "1989"} @book {L71, editor = "{Lawler, E. L.}", title = "Combinatorial Optimization~: Networks and Matroids", publisher = "Rinehart and Winston", address = "New York", year = "1976"} @book {L72, editor = "{Lov\'asz, L.} and {Plummer, M. D.}", title = "Matching Theory", publisher = "North-Holland", year = "1986"} @incollection {L73, author = "{Leiserson, C.} and {Lewis, J. G.}", title = "Orderings for Parallel Sparse Symmetric Factorization", editor = "{Rodrigue, G.}", booktitle = "Parallel Processing for Scientific Computing", pages = "27--32", publisher = "SIAM Publications", year = "1989"} @article {L74, author = "{Leuze, M.}", title = "Independent Set Orderings for Parallel Matrix Factorization by {Gaussian} Elimination", journal = "Parallel Computing", volume = "10", pages = "177--191", year = "1989"} @article {L76, author = "{Lipton, R. J.} and {Tarjan, R. E.}", title = "A Separator Theorem for Planar Graphs", journal = "SIAM J. Appl. Math.", volume = "36", pages = "177--199", year = "1979"} @article {L77, author = "{Lucas, R.} and {Blank, W.} and {Tieman, J.}", title = "A Parallel Solution Method for Large Sparse Systems of Equations", journal = "IEEE Trans. Computer Aided Design", volume = "CAD-6", pages = "981--991", year = "1987"} @phdthesis {L78, author = "{Lucas, R.}", title = "Solving Planar Systems of Equations on Distributed-Memory Multiprocessors", school = "Dept. of Electrical Eng., Stanford Univ.", year = "1987"} @article {L79, author = "{Liu, J. W. H.} and {Sherman, A. H.}", title = "Comparative Analysis of the {Cuthill-McKee} and the Reverse {Cuthill-McKee} Ordering Algorithms for Sparse Matrices", journal = "SIAM J. Numer. Anal.", volume = "13", pages = "198--213", year = "1975"} @techreport {L80, author = "{Liu, J. W. H.}", title = "On Reducing the Profile of Sparse Symmetric Matrices", type = "{Tech. Report}", number = "CS-76-07", institution = "Dept. of Computer Science, Univ. of Waterloo", address = "Canada", year = "1976"} @incollection {L81, author = "{Larcombe, M. H. E.}", title = "A List Processing Approach to the Solution of Large Sparse Sets of Matrix Equations and the Factorization of the Overall Matrix", editor = "{Reid, J. K.}", booktitle = "Large Sparse Sets of Linear Equations", pages = "25--40", publisher = "Academic Press", year = "1971"} @inproceedings {L82, author = "{Law, K. H.} and {Fenves, S. J.}", title = "Sparse Matrices, Graph Theory and Reanalysis", booktitle = "Proc. $1^{st}$ International Conference on Computing in Civil Engineering", pages = "234--249", organization = "{ASCE}", year = "1981"} @article {L83, author = "{Lewis, J. G.}", title = "Numerical Experiments with {SPARSPAK}", journal = "ACM SIGNUM Newsletter", volume = "18", number = "3", pages = "12--22", year = "1983"} @misc {L84, author = "{LAHEY}", title = "{F77L-EM/32} {FORTRAN} version 5.1 {Reference Manual}, {LAHEY} Computer Systems, Inc."} @misc {L85, author = "{LAHEY}", title = "{F77L-EM/32} {FORTRAN-90} {Reference Manual}, {LAHEY} Computer Systems, Inc."} @book {L86, author = "{Levesque, J.} and {Williamson, J.}", title = "A Guidebook to {FORTRAN} on Supercomputers", publisher = "Academic Press", year = "1989"} @article {L87, author = "{Lamport, L.}", title = "The Parallel Execution of {DO} Loops", journal = "Comm. ACM", volume = "17", pages = "83--93", year = "1974"} @article {L88, author = "{Levine, J. L.}", title = "Symbolic Expansion of Algebraic Expressions", journal = "Comm. ACM", volume = "13", number = "3", pages = "191--192", year = "1970"} @techreport {L89, author = "{Lewis, J. G.}", title = "Algorithms for Sparse Matrix Eigenvalue Problems", type = "{Tech. Report}", number = "STAN-CS-77-595", institution = "Dept. of Computer Science, Stanford Univ.", year = "1977"} @phdthesis {L90, author = "{Luk, F. T.}", title = "Sparse and Parallel Matrix Computations", school = "Dept. of Computer Science, Stanford Univ.", note = "({Report STAN-CS-78-685})", year = "1978"} @proceedings {L91, editor = "{Lewis, J. G.}", title = "{Proc.} $5^{th}$ {SIAM} Conference on Applied Linear Algebra", publisher = "SIAM Publications", year = "1994"} @book {L92, author = "{Lund, J.} and {Bowers, K. L.}", title = "Sinc Methods for Quadrature and Differential Equations", publisher = "SIAM Publications", year = "1992"} @book {L93, author = "{Lov\'asz, L.}", title = "An Algorithmic Theory of Number, Graphs and Convexity", publisher = "SIAM Publications", year = "1986"} @inproceedings {L94, author = "{Lam, M.}", title = "Software Pipelining~: {An} Effective Scheduling Technique for {VLIW} Machines", booktitle = "SIGPLAN Conference on Programming Language Design and Implementation", pages = "318--328", organization = "ACM", address = "Atlanta", year = "1988"} @incollection {L95, author = "{Lemar\'echal, C.}", title = "Nondifferentiable Optimization", editor = "{Nemhauser, G. L.} and {Rinnooy Kan, A.} and {Todd, M. J.}", booktitle = "Handbooks in Operations Research and Management Science, volume {1}~: {Optimization}", chapter = "7", pages = "529--572", publisher = "North-Holland", year = "1989"} @article {L96, author = "{Liniger, W. M.} and {Willoughby, R. A.}", title = "Efficient Numerical Integration of Stiff Systems of Differential Equations", journal = "SIAM J. Numer. Anal.", volume = "7", pages = "47--66", note = "({Originally in Tech. Report RC-1970, IBM Research Center, Yorktown Heights, New York, 1967})", year = "1970"} @article {L97, author = "{Liniger, W. M.}", title = "A Criterion for {A}-Stability of Linear Multistep Integration Formulae", journal = "Computing", volume = "3", pages = "280--285", year = "1968"} @inproceedings {L98, author = "{Lueker, G. S.} and {Booth, K. S.}", title = "Linear Algorithms to Recognize Interval Graphs and Test for the Consecutive Ones Property", booktitle = "Proc. $7^{th}$ Annual {ACM} Symposium on Theory of Computing", pages = "255--265", year = "1975"} @article {L99, author = "{Livesley, R. K.}", title = "The Analysis of Large Structural Systems", journal = "Computing J.", volume = "3", pages = "34--39", year = "1960"} @article {L100, author = "{Laski, J. G.}", title = "Segmentation and Virtual Address Topology~: {An} Essay in Virtual Research", journal = "Computing J.", volume = "11", pages = "35--40", year = "1968"} @book {L101, author = "{Leontief, W. W.}", title = "Input-Output Economics", publisher = "Oxford University Press", address = "New York", year = "1966"} @incollection {L102, author = "{Lipson, J. D.}", title = "Symbolic Methods for the Computer Solution of Linear Equations with Applications to Flowgraphs", editor = "{Tobey, R. G.}", booktitle = "Proc. 1968 Summer Institute on Symbolic Mathematical Computation, IBM Boston Programming Center", pages = "233--300", address = "Cambridge, Massachusetts", year = "1968"} @article {L103, author = "{Liebl, P.} and {Sedlacek, J.}", title = "Transformation of Square Matrices into Quasi-Triangular Form by Means of Graph Theory", journal = "Apl. Mat.", volume = "11", pages = "1--9", year = "1966"} @article {L104, author = "{Little, J. D. C.} and {Murty, K. G.} and {Sweeney, D. W.} and {Karel, C.}", title = "An Algorithm for the Traveling Salesman Problem", journal = "Operations Res.", volume = "11", pages = "972--989", year = "1963"} @article {L105, author = "{Laflin, S.} and {Brefner, M. A.}", title = "Algorithm 380~: {In-Situ} Transposition of a Rectangular Matrix", journal = "Comm. ACM", volume = "13", number = "5", pages = "324--326", year = "1970"} @book {L106, author = "{Lance, G. N.}", title = "Numerical Methods for High Speed Computers", publisher = "Iliffe", address = "London", year = "1960"} @article {L107, author = "{Ledet, W. P.} and {Himmelblau, D. M.}", title = "Decomposition Procedures for the Solving of Large Scale Systems", journal = "Advances Chem. Eng.", volume = "8", pages = "185--254", year = "1970"} @article {L108, author = "{Lum, V. Y.} and {Yuen, S. T.} and {Dodd, M.}", title = "Key-to-Address Transformation Techniques~: {A} Fundamental Performance Study on Large Existing Formatted Files", journal = "Comm. ACM", volume = "14", pages = "228--239", year = "1971"} @inproceedings {L109, author = "{Lee, H.}", title = "An Implementation of {Gaussian} Elimination for Sparse Systems of Linear Equations", editor = "{Willoughby, R. A.}", booktitle = "Sparse Matrix Proceedings, Symposium on Sparse Matrices and Their Applications", organization = "IBM Thomas J. Watson Research Center", address = "Yorktown Heights, New York", year = "1969"} @article {L110, author = "{Levy, R.}", title = "Restructuring of the Structural Stiffness Matrix to Improve Computational Efficiency", journal = "Jet Propulsion Lab. Tech. Review", volume = "1", pages = "61--70", year = "1971"} @article {L111, author = "{Lions, J.}", title = "Some Results Concerning the Reduction of Binary Matrices", journal = "J. ACM", volume = "18", pages = "424--430", year = "1971"} @incollection {L112, author = "{Lewis, J. G.} and {Grimes, R. G.}", title = "Practical {Lanczos} Algorithms for Solving Structural Engineering Eigenvalue Problems", editor = "{Duff, I. S.}", booktitle = "Sparse Matrices and Their Uses", pages = "349--355", publisher = "Academic Press", year = "1981"} @techreport {L113, author = "{Lewis, J. G.} and {Simon, H. D.}", title = "Numerical Experience with the Spectral Transformation {Lanczos} Method", type = "{Tech. Report}", number = "MM-TR-16", institution = "ETA Division, Boeing Computer Services", address = "Seattle, Washington", year = "1984"} @article {L114, author = "{Lewis, J. G.}", title = "Implementation of the {Gibbs-Poole-Stockmeyer} and {Gibbs-King} Algorithms", journal = "ACM Trans. Math. Software", volume = "8", pages = "180--189, 190--194", year = "1982"} @book {L115, author = "{Levy, H. M.} and {Eckhouse, R. H. Jr.}", title = "Computer Programming and Architecture~: {The} {VAX}", edition = "$2^{nd}$", publisher = "Digital Press", address = "Bedford", year = "1989"} @incollection {L116, author = "{Levy, J. V.}", title = "Buses~: {The} Skeleton of Computer Architectures", editor = "{Bell, C. G.} and {Mudge, J. C.} and {McNamara, J. E.}", booktitle = "Computer Engineering~: {A} {DEC} View of Hardware Systems Design", publisher = "Digital Press", address = "Bedford", year = "1978"} @article {L117, author = "{Liptay, J. S.}", title = "Structural Aspects of the {System/360} {Model 85} -- {II}:~ {The} Cache", journal = "IBM Systems Journal", volume = "7", number = "1", pages = "15--21", year = "1968"} @article {L118, author = "{Lagarias, J. C.}", title = "The Nonlinear Geometry of Linear Programming -- {III}~: Projective {Legendre} Transform Coordinates and {Hilbert} Geometry", journal = "Trans. of the American Math. Soc.", volume = "320", pages = "193--225", year = "1990"} @book {L119, author = "{Levi-Civita, T.}", title = "The Absolute Differential Calculus~: Calculus of Tensors", publisher = "Dover Publications", year = "1926"} @article {L120, author = "{Luenberger, D. G.}", title = "The Gradient Projection Method along Geodesic", journal = "Management Science", volume = "18", number = "11", pages = "620--631", year = "1972"} @techreport {L121, author = "{Lustig, I. J.} and {Rothberg, E.}", title = "Gigaflops in Linear Programming", type = "{Tech. Report}", institution = "CPLEX Optimization, Inc.", year = "1995"} @incollection {L122, author = "{Levkovitz, R.} and {Andersen, J. A.} and {Mitra, G.}", title = "The Interior Point Method for {LP} on Parallel Computers", booktitle = "System Modelling and Optimization, Proc. $15^{th}$ {IFIP} Conference, Univ. Zurich, 1991, Volume 180 of Lecture Notes in Control and Information Sciences", editor = "{Kall, P.}", pages = "241--250", publisher = "Springer Verlag", year = "1992"} @article {L123, author = "{Lustig, I. J.} and {Li, G.}", title = "An Implementation of a Parallel Primal-Dual Interior Point Method for Block Structured Linear Programs", journal = "Computational Optimization and Applications", volume = "1", pages = "141--161", year = "1992"} @inproceedings {L124, author = "{Lagergren, J.}", title = "Efficient Parallel Algorithms for Tree-Decomposition and Related Problems", booktitle = "Proc. $31^{st}$ Annual Symposium on Foundations of Computer Science", pages = "173--182", organization = "IEEE", year = "1990"} % (M) ........................................................................ @manual {M1, author = "{Marsten, R. E.}", title = "``{User's Manual}'' for the Research Version of {OB1}", organization = "School of Ind. and Systems Eng., Georgia Institute of Technology", address = "Atlanta", year = "1990"} @book {M2, author = "{Morozowski Filho, M.}", title = "Matrizes Esparsas em Redes de Pot\^encia", publisher = "LTC/FEESC", address = "Rio de Janeiro", year = "1981"} @article {M3, author = "{Markowitz, H. M.}", title = "The Elimination Form of the Inverse and its Application to Linear Programming", journal = "Management Science", volume = "3", number = "3", pages = "255--269", note = "({Originally at The RAND Corporation, Research Memorandum RM-1452, 1955})", year = "1957"} @article {M4, author = "{Moler, C. B.}", title = "Matrix Computations with {FORTRAN} and Paging", journal = "Comm. ACM", volume = "15", pages = "268--272", year = "1972"} @article {M5, author = "{Machado, P. A.} and {Azevedo, G. P.} and {Monticelli, A. J.}", title = "A Mixed Pivoting Approach to the Factorization of Indefinite Matrices in Power System State Estimation", journal = "IEEE Trans. Power Systems", volume = "PWRS-6", number = "2", pages = "676--682", year = "1991"} @book {M6, author = "{Mor\'e, J. J.} and {Wright, S. J.}", title = "Optimization Software Guide", publisher = "SIAM Publications", year = "1993"} @book {M7, author = "{Maculan Filho, N.} and {Pereira, M. V. F.}", title = "Programa\c c\~ao Linear", publisher = "Editora Atlas", year = "1980"} @book {M8, author = "{Minoux, M.}", title = "Mathematical Programming, Theory and Algorithms", publisher = "John Wiley \& Sons", year = "1986"} @inbook {M9, editor = "{Mangasarian, O. L.} and {Meyer, R. R.}", title = "Parallel Methods in Mathematical Programming", note = "({Special Issue})", series = "Math. Programming, Series~B", volume = "42(2)", pages = "203--470", publisher = "North Holland", year = "1988"} @book {M10, editor = "{Messina, P. C.} and {Sterling, T. A.}", title = "System Software and Tools for High Performance Computing Environments", publisher = "SIAM Publications", year = "1993"} @book {M11, editor = "{Mesirov, J. P.}", title = "Very Large Scale Computation in the $21^{th}$ Century", publisher = "SIAM Publications", year = "1991"} @book {M12, author = "{Mehlhorn, K.}", title = "Data Structures and Algorithms, volume {2}~: {NP} Completeness and Graph Algorithms", series = "{EATCS} Monographs on Theoretical Computer Science", note = "{Brauer, W.}, {Rozenberg, G.} and {Salomaa, A.}, eds.", publisher = "Springer-Verlag", year = "1984"} @techreport {M13, author = "{Murtagh, B. A.} and {Saunders, M. A.}", title = "{MINOS 5.1} ``{User's Guide}''", type = "{Tech. Report}", number = "SOL-83-20", institution = "Systems Optimization Laboratory, Dept. of Operations Research, Stanford Univ.", year = "1987"} @unpublished {M14, author = "{McCormick, S. T.} and {Chang, S. F.}", title = "Making ${AA}^{T}$ Sparser for Interior Point Algorithms~: {Complexity} and Heuristics", note = "({In preparation})", year = "1990"} @unpublished {M15, author = "{McCormick, S. T.}", title = "Making Sparse Matrices Sparser", note = "(To be published at {Math. Programming})", year = "1990"} @incollection {M16, author = "{Moler, C. B.}", title = "Matrix Computation on Distributed Memory Multiprocessor", editor = "{Heath, M. T.}", booktitle = "Hypercube Multiprocessors 1986", pages = "181--195", publisher = "SIAM Publications", year = "1986"} @book {M17, author = "{Manber, U.}", title = "Introduction to Algorithms~: A Creative Approach", publisher = "Addison-Wesley", year = "1989"} @book {M18, author = "{Mehlhorn, K.}", title = "Data Structures and Algorithms, volume {3}~: Multi-Dimensional Searching and Computational Geometry", series = "{EATCS} Monographs on Theoretical Computer Science", note = "{Brauer, W.}, {Rozenberg, G.} and {Salomaa, A.}, eds.", publisher = "Springer-Verlag", year = "1984"} @book {M19, author = "{Murty, K. G.}", title = "Linear and Combinatorial Programming", publisher = "John Wiley \& Sons", year = "1976"} @article {M20, author = "{Maculan Filho, N.}", title = "The Steiner Problem in Graphs", journal = "Annals of Discr. Math.", volume = "31", pages = "185--222", year = "1987"} @techreport {M21, author = "{Maculan Filho, N.}", title = "Programmation Lin\'eaire en Nombres Entiers", type = "{Tech. Report}", number = "486", institution = "D\'epartment D'Informatique et de Recherche Op\'erationnelle, Univ. de Montr\'eal", note = "({First part})", year = "1983"} @book {M22, author = "{McCracken, D. D.}", title = "A Guide to {FORTRAN} {IV} Programming", edition = "$2^{nd}$", publisher = "John Wiley \& Sons", year = "1972"} @book {M23, author = "{McCormick, J. M.} and {Salvadori, M. G.}", title = "Numerical Methods in {FORTRAN}", publisher = "Prentice-Hall", note = "(Published by {Editora Pol\'\i gono, 1971})", year = "1964"} @book {M24, author = "{McCalla, T. R.}", title = "Introduction to Numerical Methods and {FORTRAN} Programming", publisher = "John Wiley \& Sons", year = "1967"} @book {M25, author = "{Milne, W. E.}", title = "Numerical Calculus", publisher = "Princeton University Press", year = "1949"} @book {M26, author = "{Milne, W. E.}", title = "Numerical Solutions of Differential Equations", publisher = "John Wiley \& Sons", year = "1953"} @book {M27, author = "{Murray, W.}", title = "Numerical Methods for Unconstrained Optimization", publisher = "Academic Press", year = "1972"} @book {M28, author = "{Mandelbrot, B. B.}", title = "Fractals~: Form, Chance, and Dimension", publisher = "Freeman \& Co.", year = "1977"} @book {M29, author = "{Mandelbrot, B. B.}", title = "The Fractal Geometry of Nature", publisher = "Freeman \& Co.", year = "1982"} @techreport {M30, author = "{Mor\'e, J. J.} and {Garbow, B.} and {Hillstrom, K. E.}", title = "``{User's Guide}'' to {MINPACK-1}", type = "{Tech. Report}", number = "ANL-80-74", institution = "Argonne National Laboratory", address = "Illinois", year = "1980"} @article {M31, author = "{Moses, J.}", title = "Symbolic Integration~: {The} Stormy Decade", journal = "Comm. ACM", volume = "14", pages = "548--560", year = "1971"} @article {M32, author = "{Murtagh, B. A.} and {Saunders, M. A.}", title = "Large-Scale Linearly Constrained Optimization", journal = "Math. Programming", volume = "14", pages = "41--72", year = "1978"} @book {M33, author = "{Meyer, Y.}", title = "Wavelets~: Algorithms \& Applications", publisher = "SIAM Publications", year = "1993"} @unpublished {M34, author = "{Murray, W.}", title = "Methods for Linear Programming", note = "(Talk presented at {{NATO} Advanced Workshop on Algorithms and Model Formulations in Mathematical Programming, Bergen, Norway})", year = "1987"} @article {M35, author = "{Munksgaard, N.}", title = "Solving Sparse Symmetric Sets of Linear Equations by Preconditioned Conjugate Gradients", journal = "ACM Trans. Math. Software", volume = "6", number = "2", pages = "206--219", year = "1980"} @article {M36, author = "{Marsten, R. E.} and {Saltzman, M. J.} and {Shanno, D. F.} and {Ballintijn, J. F.} and {Pierce, G. S.}", title = "Implementation of a Dual Affine Interior Point Algorithm for Linear Programming", journal = "ORSA J. Computing", volume = "1", pages = "287--297", year = "1989"} @article {M37, author = "{McShane, K. A.} and {Monma, C. L.} and {Shanno, D. F.}", title = "Implementation of a Primal-Dual Interior Point Method for Linear Programming", journal = "ORSA J. Computing", volume = "1", pages = "70--83", year = "1989"} @article {M38, author = "{Mehrotra, S.}", title = "On the Implementation of a Primal-Dual Interior Point Method", journal = "SIAM J. Optimization", volume = "2", number = "4", pages = "575--601", year = "1992"} @article {M39, author = "{Marsten, R. E.}", title = "The Design of the {XMP} Linear Programming Library", journal = "ACM Trans. Math. Software", volume = "7", pages = "481--497", year = "1981"} @book {M40, author = "{Murtagh, B. A.}", title = "Advanced Linear Programming", publisher = "McGraw-Hill", year = "1981"} @article {M41, author = "{Mitchell, J. E.} and {Todd, M. J.}", title = "Solving Combinatorial Optimization Problems using {Karmarkar's} Algorithm", journal = "Math. Programming", volume = "56", pages = "245--284", year = "1992"} @article {M42, author = "{Mehrotra, S.}", title = "Implementation of Affine Scaling Methods~: {Approximate} Solutions of Systems of Linear Equations Using Preconditioned Conjugate Gradient Methods", journal = "ORSA J. Computing", volume = "4", pages = "103--118", year = "1992"} @techreport {M43, author = "{Mulvey, J. M.} and {Ruszczynski, A.}", title = "A Diagonal Quadratic Approximation Method for Large Scale Linear Programs", type = "{Tech. Report}", number = "SOR-90-08", institution = "School of Eng. and Applied Science, Dept. of Civil Eng. and Oper. Research, Princeton Univ.", year = "1990"} @article {M44, author = "{Meyer, W. S.} and {Albertson, V. D.}", title = "Improved Loss Formula Computation by Optimally Ordered Elimination Techniques", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-90", number = "1", pages = "62--69", year = "1971"} @article {M45, author = "{McNamee, J. M.}", title = "A Sparse Matrix Package -- Part {I}", journal = "Comm. ACM", volume = "14", number = "4", pages = "265--273", year = "1971"} @article {M46, author = "{Morris, R.}", title = "Scatter Storage Techniques", journal = "Comm. ACM", volume = "11", number = "1", pages = "38--44", year = "1968"} @book {M47, author = "{Metcalf, M.}", title = "{FORTRAN} Optimization", publisher = "Academic Press", year = "1982"} @article {M48, author = "{Martins, N.}", title = "Efficient Eigenvalue and Frequency Response Methods Applied to Power System Small-Signal Stability Studies", journal = "IEEE Trans. Power Systems", volume = "PWRS-1", number = "1", pages = "217--226", year = "1986"} @techreport {M49, author = "{Martins, N.} and {Lima, L. T. G.}", title = "Eigenvalue and Frequency Domain Analysis of Small-Signal Electromechanical Stability Problems", type = "{Paper}", number = "90-TH-0292-3-PWR", institution = "Centro de Pesquisas em Energia El\'etrica (CEPEL)", address = "Rio de Janeiro", note = "(Presented at 1990 {IEEE Symposium on Application of Eigenanalysis and Frequency Domain Methods for System Dynamic Performance, pages 17--33})", year = "1989"} @article {M50, author = "{Martins, N.} and {Lima, L. T. G.}", title = "Determination of Suitable Locations for Power System Stabilizers and Static {VA}r Compensators for Damping Electromechanical Oscillations", journal = "IEEE Trans. Power Systems", volume = "PWRS-5", pages = "1455--1469", year = "1990"} @inproceedings {M51, author = "{Martins, N.} and {Pinto, H. J. C. P.} and {Lima, L. T. G.}", title = "Efficient Methods for Finding Transfer Function Zeros of Power Systems", booktitle = "Proc. 1991 IEEE Power Industry Computer Application Conference", pages = "320--328", year = "1991"} @article {M52, author = "{Moon, J. W.} and {Moser, L.}", title = "On Cliques in Graphs", journal = "Israel J. Math.", volume = "3", pages = "23--28", year = "1965"} @unpublished {M53, author = "{Meurant, G.}", title = "The Evolution of Scientific Computing on Parallel Computers", note = "{Presented at I Escola de Computa\c c\~ao Cient\'\i fica de Alto Desempenho, LNCC, Rio de Janeiro}", year = "1992"} @article {M54, author = "{Miller, E. R.} and {Pippenger, N.} and {Rosemberg, A. L.} and {Snyder, L.}", title = "Optimal 2-3 Trees", journal = "SIAM J. Comput.", volume = "8", number = "1", pages = "42--59", year = "1979"} @article {M55, author = "{Marquardt, D.}", title = "An Algorithm for Least-Squares Estimation of Nonlinear Parameters", journal = "SIAM J. Appl. Math.", volume = "11", pages = "431--441", year = "1963"} @incollection {M56, author = "{Mor\'e, J. J.}", title = "Recent Developments in Algorithms and Software for Trust Region Methods", editor = "{Bachem, A.} and {Gr{\"o}tschel, M.} and {Korte, B.}", booktitle = "Mathematical Programming~: {The} State of the Art, Bonn 1982", publisher = "Springer-Verlag", year = "1983"} @article {M57, author = "{Mor\'e, J.} and {Sorensen, D.}", title = "Computing a Trust Region Step", journal = "SIAM J. Sci. and Stat. Comput.", volume = "4", number = "3", pages = "553--572", year = "1983"} @incollection {M58, author = "{Mor\'e, J. J.} and {Sorensen, D.}", title = "{Newton's} Method", editor = "{Golub, G. H.}", booktitle = "Studies in Numerical Analysis, MAA Studies in Mathematics", volume = "24", publisher = "The Mathematical Association of America", year = "1984"} @techreport {M59, author = "{Mor\'e, J. J.}", title = "Trust Regions and Projected Gradients", type = "{Tech. Report}", number = "ANL-MCS-TM-107", institution = "Argonne National Laboratory", address = "Argonne, Illinois", year = "1988"} @techreport {M60, author = "{Mor\'e, J. J.} and {Toraldo, G.}", title = "On the Solution of Large Quadratic Programming Problems with Bound Constraints", type = "{Tech. Report}", number = "ANL-MCS-P-77-0589", institution = "Argonne National Laboratory", address = "Argonne, Illinois", year = "1989"} @article {M61, author = "{Mor\'e, J. J.} and {Toraldo, G.}", title = "Algorithms for Bound Constrained Quadratic Programming Problems", journal = "Numer. Math.", volume = "55", pages = "377--400", year = "1989"} @article {M62, author = "{Murtagh, B. A.} and {Saunders, M. A.}", title = "A Projected {Lagrangian} Algorithm and Its Implementation for Sparse Nonlinear Constraints", journal = "Math. Programming Study", volume = "16", pages = "84--117", year = "1982"} @misc {M63, author = "{Meeraus, A.}", title = "{G}eneral {A}lgebraic {M}odeling {S}ystem ({GAMS})~: ``{User's Guide}'', version 1.0", note = "Development Research Dept., World Bank", year = "1982"} @incollection {M64, author = "{Manteuffel, T. A.}", title = "Shifted Incomplete {Cholesky} Factorization", editor = "{Duff, I. S.} and {Stewart, G. W.}", booktitle = "Sparse Matrix Proceedings 1978", publisher = "SIAM Publications", year = "1979"} @manual {M65, author = "{MathWorks}", title = "{Pro-MATLAB} ``{User's Guide}''", organization = "MathWorks, Inc.", address = "South Natick", year = "1990"} @book {M66, author = "{Minieka, E.}", title = "Optimization Algorithms for Networks and Graphs", publisher = "Marcel Dekker", address = "New York", year = "1978"} @unpublished {M67, author = "{Mascarenhas, W.}", title = "Predicting Structure in Eigenvector Computation", note = "(To be published at {Lin. Alg. and Appl.})"} @phdthesis {M68, author = "{McCormick, S. T.}", title = "A Combinatorial Approach to Some Sparse Matrix Problems", school = "Stanford Univ.", year = "1983"} @article {M69, author = "{Melhem, R.}", title = "Parallel Solution of Linear Systems with Striped Sparse Matrices", journal = "Parallel Computing", volume = "6", pages = "165--184", year = "1988"} @techreport {M70, author = "{Munksgaard, N.}", title = "{FORTRAN} Subroutines for Direct Solution of Sets of Sparse and Symmetric Linear Equations", type = "{Tech. Report}", number = "77-05", institution = "Numerical Institute Lyngby", address = "Denmark", year = "1977"} @misc {M71, author = "{METAWARE}", title = "{High} ${C}$/${C}^{++}$ ``{User's Guide}''"} @techreport {M72, author = "{Moler, C. B.}", title = "A Closer Look at {Amdahl's} Law", type = "{Tech. Report}", number = "TN-02-687", institution = "INTEL", year = "1987"} @article {M73, author = "{McNamee, J. M.}", title = "A sparse Matrix Package -- Part {II}~: {Special Cases}", journal = "ACM Trans. Math. Software", volume = "9", number = "3", pages = "344--345", year = "1983"} @article {M74, author = "{Martinez, J. M.}", title = "An Algorithm for Solving Sparse Nonlinear Least Squares Problems", journal = "Computing", volume = "39", pages = "307--325", year = "1987"} @book {M75, author = "{Mangasarian, O. L.}", title = "Nonlinear Programming", publisher = "SIAM Publications", note = "({First Edition, 1969})", year = "1994"} @book {M76, author = "{Messina, P. C.} and {Sterling, T. A.} and {Smith, P. H.}", title = "Enabling Technologies for PetaFlops Computing", publisher = "MIT Press", year = "1995"} @inproceedings {M77, author = "{McFarling, S.} and {Hennessy, J.}", title = "Reducing the Cost of Branches", booktitle = "Proc. $13^{th}$ Symposium on Computer Architecture", pages = "396--307", address = "Tokyo", year = "1986"} @book {M78, author = "{Murty, K. G.}", title = "Linear Programming", publisher = "John Wiley \& Sons", year = "1983"} @article {M79, author = "{Murty, K. G.}", title = "Computational Complexity of Parametric Linear Programming", journal = "Math. Programming", volume = "19", pages = "213--219", year = "1980"} @manual {M80, organization = "{MATHLAB} Group", title = "{MACSYMA} Reference Manual, Project {MAC}, {M.I.T.}", address = "Cambridge, Massachusetts", year = "1974"} @article {M81, author = "{Miranker, W. L.}", title = "A Survey of Parallelism in Numerical Analysis", journal = "SIAM Review", volume = "13", pages = "524--547", year = "1971"} @article {M82, author = "{McKellar, A. C.} and {Coffman, E. G.}", title = "Organizing Matrices and Matrix Operations for a Paged Memory System", journal = "Comm. ACM", volume = "12", pages = "153--165", year = "1969"} @article {M83, author = "{Moler, C. B.}", title = "State of the Art in Matrix Computations", journal = "SIGNUM Newsletter", volume = "4", number = "1", pages = "22--28", year = "1969"} @article {M84, author = "{Moler, C. B.}", title = "Iterative Refinement in Floating Point", journal = "J. ACM", volume = "14", pages = "316--321", year = "1967"} @article {M85, author = "{Muller, D. E.}", title = "A Method for Solving Algebraic Equations Using an Automatic Computer", journal = "Math. Tables Aids Comput.", volume = "10", pages = "208--215", year = "1956"} @manual {M86, author = "{MacNeal, R. H.}", title = "{NASTRAN} ``{Theoretical Manual}''", organization = "NASA", note = "({Contract NAS-5-10049, sect 11.3})", year = "1970"} @article {M87, author = "{MacNeal, R. H.} and {McCormick, C. W.}", title = "The {NASTRAN} Computer Program for Structural Analysis", journal = "Soc. Automotive Eng. Trans.", volume = "", year = ""} @article {M88, author = "{Martin, R. S.} and {Wilkinson, J. H.}", title = "Similarity Reduction of a General Matrix to {Hessenberg} Form", journal = "Numer. Math.", volume = "12", pages = "349--368", year = "1968"} @article {M89, author = "{Martin, R. S.} and {Peters, G.} and {Wilkinson, J. H.}", title = "The {QR} Algorithm for Real {Hessenberg} Matrices", journal = "Numer. Math.", volume = "14", pages = "219--231", year = "1970"} @article {M90, author = "{Martin, D.} and {Estrin, G.}", title = "Models of Computations and Systems Evaluation of Vertex Probabilities in Graph Models of Computations", journal = "J. ACM", volume = "14", pages = "281--299", year = "1967"} @article {M91, author = "{Mattson, R. L.} and {Gecsei, J.} and {Slutz, D. R.} and {Traiger, I. L.}", title = "Evaluation Techniques for Storage Hierarchies", journal = "IBM Systems Journal", volume = "9", pages = "78--117", year = "1970"} @article {M92, author = "{Mayoh, B. H.}", title = "A Graph Technique for Inverting Certain Matrices", journal = "Math. of Computation", volume = "19", pages = "644--646", year = "1965"} @article {M93, author = "{Minty, G. J.}", title = "On the Axiomatic Foundations of the Theories of Directed Linear Graphs, Electrical Networks and Network-Programming", journal = "J. Math. Mech.", volume = "15", pages = "485--520", year = "1966"} @article {M94, author = "{McKeeman, W. M.}", title = "{Crout} with Equilibration and Iteration", journal = "Comm. ACM", volume = "5", pages = "553--555", year = "1962"} @book {M95, author = "{Maurer, W. D.}", title = "Programming, Introduction to Computer Languages and Techniques", publisher = "Holden-Day", address = "San Francisco", year = "1968"} @book {M96, author = "{Marshall, H. Jr.}", title = "The Theory of Groups", publisher = "MacMillan", address = "New York", year = "1959"} @article {M97, author = "{Marimont, R. B.}", title = "A New Method of Checking the Consistency of Precedence Matrices", journal = "J. ACM", volume = "6", pages = "164--171", year = "1959"} @article {M98, author = "{Munro, I.}", title = "Efficient Determination of the Transitive Closure of a Directed Graph", journal = "Information Processing Letters", volume = "1", pages = "56--58", year = "1971"} @phdthesis {M99, author = "{Munro, I.}", title = "Some Results in the Study of Algorithms", school = "Dept. of Computer Science, Univ. Toronto", address = "Ontario", year = "1971"} @article {M100, author = "{Martin, R. S.} and {Wilkinson, J. H.}", title = "Symmetric Decomposition of Positive Definite Band Matrices", journal = "Numer. Math.", volume = "7", pages = "355--361", year = "1965"} @article {M101, author = "{Munkres, J.}", title = "Algorithms for the Assignment and Transportation Problems", journal = "SIAM J. Appl. Math.", volume = "5", pages = "32--38", year = "1957"} @inproceedings {M102, author = "{Martelli, A.} and {Montanari, U.}", title = "An Application of Heuristically Guided Search to Elimination Processes", booktitle = "Proc. International Computing Symposium", pages = "58--72", organization = "{CINI} Foundation", address = "Venice", year = "1972"} @mastersthesis {M103, author = "{MacVeigh, D. J.}", title = "Effect of Data Representation on Efficiency of Sparse Matrix Operations", school = "Dept. of Computer Science, North Carolina State Univ.", address = "Chapel Hill", year = "1975"} @article {M104, author = "{Maurer, W. D.}", title = "An Improved Hash Code for Scatter Storage", journal = "Comm. ACM", volume = "11", pages = "35--38", year = "1968"} @article {M105, author = "{Morrison, J. E.}", title = "User Program Performance in Virtual Storage Systems", journal = "IBM Systems Journal", volume = "12", pages = "216--237", year = "1973"} @article {M106, author = "{Marimont, R. B.}", title = "Application of Graphs and Boolean Matrices to Computer Programming", journal = "SIAM Review", volume = "2", pages = "259--268", year = "1960"} @inproceedings {M107, author = "{Miller, J. J. H.}", title = "Topics in Numerical Analysis -- {II}", booktitle = "Proc. Royal Irish Academy Conference on Numerical Analysis, London, 1974", publisher = "Academic Press", year = "1975"} @incollection {M108, author = "{Megiddo, N.}", title = "Pathways to the Optimal Set in Linear Programming", editor = "{Megiddo, N.}", booktitle = "Progress in Mathematical Programming~: Interior-Point and Related Methods", pages = "131--158", publisher = "Springer-Verlag", year = "1989"} @misc {M109, author = "{Marro, L.}", title = "M\'ethodes de R\'eduction de la Largeur de Bande et du Profil Efficace des Matrices Creuses", note = "Th\`ese de 3\`eme cycle, Univ. de Nice", year = "1980"} @article {M110, author = "{Marro, L.}", title = "A Linear Time Implementation of Profile Reduction Algorithms for Sparse Matrices", journal = "SIAM J. Sci. and Stat. Comput.", volume = "7", pages = "1212--1231", year = "1986"} @article {M111, author = "{Manteuffel, T. A.}", title = "An Incomplete Factorization Technique for Positive Definite Linear Systems", journal = "Math. of Computation", volume = "34", pages = "473--497", year = "1980"} @article {M112, author = "{Magenheimer, D. J.} and {Peters, L.} and {Pettis, K. W.} and {Zuras, D.}", title = "Integer Multiplication and Division on the {HP} {Precision Architecture}", journal = "IEEE Trans. Comput.", volume = "C-37", number = "8", pages = "980--990", year = "1988"} @inproceedings {M113, author = "{McFarling, S.}", title = "Program Optimization for Instruction Caches", booktitle = "Proc. $3^{rd}$ International Conference on Architectural Support for Programming Languages and Operating Systems", address = "Boston", year = "1989"} @book {M114, editor = "{Mead, C.} and {Conway, L.}", title = "Introduction to {VLSI} Systems", publisher = "Addison-Wesley", year = "1980"} @article {M115, author = "{Metacalfe, R. M.} and {Boggs, D. R.}", title = "{ETHERNET}~: {Distributed} Packet Switching for Local Computer Networks", journal = "Comm. ACM", volume = "19", number = "7", pages = "395--404", year = "1976"} @book {M116, editor = "{McCormick, S. F.}", title = "Multigrid Methods", publisher = "SIAM Publications", year = "1987"} @article {M117, author = "{Meyers, G. J.}", title = "The Evaluation of Expressions in a Storage-to-Storage Architecture", journal = "Computer Architecture News", volume = "7", number = "3", pages = "20--23", year = "1978"} @book {M118, author = "{Meyers, G. J.}", title = "Advances in Computer Architecture", edition = "$2^{nd}$", publisher = "John Wiley \& Sons", year = "1982"} @inproceedings {M119, author = "{Moore, B.} and {Padegs, A.} and {Smith, R.} and {Bucholz, W.}", title = "Concepts of the {System/370} Vector Architecture", booktitle = "Proc. $14^{th}$ Symposium on Computer Architecture", pages = "282--292", organization = "ACM/IEEE", address = "Pittsburgh", year = "1987"} @article {M120, author = "{Morse, S.} and {Ravenal, B.} and {Mazor, S.} and {Pohlman, W.}", title = "{INTEL} Microprocessors~: 8008 to 8086", journal = "Computer", volume = "13", number = "10", year = "1980"} @manual {M121, author = "{MOTOROLA}", title = "{MC88100} {RISC} Microprocessor ``{User's Manual}''", year = "1988"} @article {M122, author = "{Muchnick, S. S.}", title = "Optimizing Compilers for {SPARC}", journal = "SUN Technology", volume = "1", number = "3", pages = "64--77", year = "1988"} @book {M123, editor = "{McCormick, S. F.}", title = "Multilevel Adaptive Methods for Partial Differential Equations", publisher = "SIAM Publications", year = "1989"} % (N) ........................................................................ @article {N1, author = "{Ng, E.}", title = "A Scheme for Handling Rank-Deficiency in the Solution of Sparse Linear Least Squares Problems", journal = "SIAM J. Sci. and Stat. Comput.", volume = "12", number = "5", pages = "1173--1183", year = "1991"} @proceedings {N2, editor = "{Natori, M.} and {Nodera, T.}", title = "Sparsity and Supercomputer~: {Advances} in Numerical Methods for Large Sparse Sets of Linear Equations 4", year = "1988"} @proceedings {N3, editor = "{Natori, M.} and {Nodera, T.}", title = "Parallel Processing for Scientific Computing~: {Advances} in Numerical Methods for Large Sparse Sets of Linear Equations 6", year = "1990"} @proceedings {N4, editor = "{Natori, M.} and {Nodera, T.}", title = "Parallel Processing for Scientific Computing~: {Advances} in Numerical Methods for Large Sparse Sets of Linear Equations 8", year = "1992"} @book {N5, editor = "{Nemhauser, G. L.} and {Rinooy Kan, A.} and {Todd, M. J.}", title = "Handbooks in Operations Research and Management Sciences, volume {1}~: {Optimization}", publisher = "North-Holland", year = "1989"} @article {N6, author = "{Natarajan, B. K.}", title = "Sparse Approximate Solutions to Linear Systems", journal = "SIAM J. Comput.", volume = "24", number = "2", pages = "227--234", year = "1995"} @techreport {N7, author = "{Nagel, L. W.}", title = "{SPICE-2}~: {A} Computer Program to Simulate Semiconductor Circuits", type = "{Memorandum}", number = "ERL-M520", institution = "Electronics Research Laboratory, Univ. Berkeley", year = "1975"} @inproceedings {N8, author = "{Nakajima, K.}", title = "A Graph Theoretical Approach to Parallel Triangulation of a Sparse Asymmetric Matrix", booktitle = "Proc. 1984 Conference on Information Science and Systems", year = "1984"} @article {N9, author = "{Nicol, D. M.} and {Saltz, J. H.}", title = "An Analysis of Scatter Decomposition", journal = "IEEE Trans. Comput.", volume = "C-29", number = "11", pages = "1337--1345", year = "1980"} @techreport {N10, author = "{Ng, E.} and {Peyton, B. W.}", title = "A Supernodal {Cholesky} Factorization Algorithm for Shared-Memory Multiprocessors", type = "{Tech. Report}", number = "ORNL-TM-11814", institution = "Oak Ridge National Laboratory", year = "1991"} @article {N11, author = "{Ng, E.}", title = "Supernodal Symbolic {Cholesky} Factorization on a Local-Memory Multiprocessor", journal = "Parallel Computing", volume = "19", pages = "153--162", year = "1993"} @article {N12, author = "{Naor, J.} and {Naor, M.} and {Schaffer, A. J.}", title = "Fast Parallel Algorithms for Chordal Graphs", journal = "SIAM J. Comput.", volume = "18", pages = "327--349", year = "1989"} @book {N13, author = "{Nemhauser, G. L.} and {Wosley, L. A.}", title = "Integer and Combinatorial Optimization", publisher = "John Wiley \& Sons", year = "1988"} @book {N14, author = "{Niederreiter, H.}", title = "Random Number Generation and Quasi-Monte Carlo Methods", publisher = "SIAM Publications", year = "1992"} @book {N15, author = "{Noble, B.}", title = "Numerical Methods, volume {1}", publisher = "Oliver and Boyd", address = "London", year = "1964"} @book {N16, author = "{Noble, B.}", title = "Numerical Methods, volume {2}", publisher = "Oliver and Boyd", address = "London", year = "1964"} @manual {N17, author = "{NAG}", title = "{FORTRAN} {PC50} Library Handbook", note = "({Release 1})", publisher = "Numerical Algorithms Group", year = "1983"} @manual {N18, author = "{NAG}", title = "{FORTRAN} Library Manual", note = "({Mark 8})", publisher = "Numerical Algorithms Group", address = "Oxford", year = "1980"} @article {N19, author = "{Nash, S. G.} and {Sofer, A.}", title = "A General Purpose Parallel Algorithm for Unconstrained Optimization", journal = "SIAM J. Optimization", volume = "1", number = "4", pages = "530--547", year = "1991"} @article {N20, author = "{Nesterov, Y. E.} and {Nemirovsky, A. S.}", title = "Acceleration and Parallelization of the Path-Following Interior Method for a Linearly Constrained Convex Quadratic Problem", journal = "SIAM J. Optimization", volume = "1", number = "4", pages = "548--564", year = "1991"} @book {N21, author = "{Nesterov, Y. E.} and {Nemirovsky, A. S.}", title = "Interior Point Polynomial Methods in Convex Programming~: Theory and Algorithms", publisher = "SIAM Publishing", year = "1993"} @misc {N22, author = "{Nucera, R.} and {Gilles, M.}", title = "A Blocked Sparse Matrix Formulation for the Solution of Equality-Constrained State Estimation", note = "(Presented at {IEEE} {Winter Power Meeting})", year = "1990"} @misc {N23, author = "{Nesterov, Y. E.} and {Nemirovsky, A. S.}", title = "Self-Concordant Functions and Polynomial Time Methods in Convex Programming", address = "Moscow", year = "1989"} @article {N24, author = "{Nocedal, J.} and {Overton, M.}", title = "Projected {Hessian} Updating Algorithms for Nonlinear Constrained Optimization", journal = "SIAM J. Numer. Anal.", volume = "22", pages = "821--850", year = "1985"} @article {N25, author = "{Naur, P.}", title = "Revised Report on the Algorithmic Language {ALGOL} 60", journal = "Comm. ACM", volume = "6", pages = "1--17", year = "1963"} @book {N26, author = "{Nicholls, J. E.}", title = "The Design and Structure of Programming Languages", publisher = "Addison-Wesley", year = "1975"} @book {N27, author = "{Nagel, E.} and {Newman, J. R.}", title = "{G\"odel's} Proof", publisher = "New York Univ. Press", year = "1958"} @techreport {N28, author = "{Naik, V.} and {Patrick, M. L.}", title = "Data Traffic Reduction Schemes for Sparse {Cholesky} Factorization", type = "{Tech. Report}", number = "88-14", institution = "Institute for Computer Applications in Science and Engineering ({ICASE}), {NASA} Langley Research Center", address = "Hampton", year = "1988"} @techreport {N29, author = "{Naik, V.} and {Patrick, M. L.}", title = "Data Traffic Reduction Schemes for {Cholesky} Factorization on Asynchronous Multiprocessor Systems", type = "{Tech. Report}", number = "89-40", institution = "Institute for Computer Applications in Science and Engineering ({ICASE}), {NASA} Langley Research Center", address = "Hampton", year = "1989"} @misc {N30, author = "{Nie, N. H.} and others", title = "{SPSS}~: {S}tatistical {P}ackage for the {S}ocial {S}ciences", edition = "$2^{nd}$", publisher = "McGraw-Hill"} @inproceedings {N31, author = "{Ng, E.}", title = "A Two-level One-way Dissection Scheme for Finite Element Problems", booktitle = "Proc. $9^{th}$ Manitoba Conference on Numerical Mathematics and Computing", pages = "26--29", year = "1979"} @article {N32, author = "{Nicolau, A.} and {Fisher, J. A.}", title = "Measuring the Parallelism Available for Very Long Instruction Word Architectures", journal = "IEEE Trans. Comput.", volume = "C-33", number = "11", pages = "968--976", year = "1984"} @techreport {N33, author = "{Nesterov, Y. E.} and {Nemirovsky, A. S.}", title = "A General Approach to Polynomial-time Algorithms Design for Convex Programming", type = "{Report}", institution = "Central Economical and Mathematical Institute, USSR Academy of Sciences", address = "Moscow", year = "1988"} @incollection {N34, author = "{Nemhauser, G. L.} and {Wosley, L. A.}", title = "Integer Programming", editor = "{Nemhauser, G. L.} and {Rinnooy Kan, A.} and {Todd, M. J.}", booktitle = "Handbooks in Operations Research and Management Science, volume {1}~: {Optimization}", chapter = "6", pages = "447--527", publisher = "North-Holland", year = "1989"} @inproceedings {N35, author = "{Norin, R. S. } and {Pottle, C.}", title = "Precompilation of a State-Space Network Analysis Algorithm", booktitle = "Proc. Cornell Conference on Computerized Electronics", organization = "Cornell Univ.", pages = "83--91", address = "Ithaca", year = "1969"} @article {N36, author = "{Nathan, A.} and {Even, R. K.}", title = "The Inversion of Sparse Matrices by a Strategy Derived from their Graphs", journal = "Computing J.", volume = "10", pages = "190--194", year = "1967"} @book {N37, author = "{Norris, C. H.} and {Wilbur, J. B.}", title = "Elementary Structural Analysis", edition = "$2^{nd}$", publisher = "McGraw-Hill", year = "1960"} @book {N38, editor = "{Neiss, F.}", title = "Determinanten und Matrizen", edition = "$5^{th}$", publisher = "Springer-Verlag", year = "1959"} @article {N39, author = "{Norin, R. S.} and {Pottle, C.}", title = "Effective Ordering of Sparse Matrices Arising from Nonlinear Electrical Networks", journal = "IEEE Trans. Circuit Theory", volume = "CT-18", pages = "139--145", year = "1971"} @article {N40, author = "{Nuding, E.} and {Kahlert-Warmbold, I.}", title = "A Computer-Orientated Representation of Matrices", journal = "Computing", volume = "6", pages = "1--8", year = "1971"} @article {N41, author = "{Nakhla, M.} and {Singhal, K.} and {Vlach, J.}", title = "An Optimal Pivoting Order for the Solution of Sparse Systems of Equations", journal = "IEEE Trans. Circuits and Systems", volume = "CAS-21", pages = "222--225", year = "1974"} @article {N42, author = "{Norman, R. Z.} and {Rabin, M. O.}", title = "An Algorithm for the Minimum Cover of a Graph", journal = "Proc. Amer. Math. Soc.", volume = "10", pages = "315--319", year = "1959"} @book {N43, author = "{Nazareth, J. L.}", title = "The {Newton}-{Cauchy} Framework~: {A} Unified Approach to Unconstrained Nonlinear Minimization", publisher = "Springer-Verlag", year = "1994"} @article {N44, author = "{Ng, E.} and {Peyton, B. W.}", title = "Block Sparse Cholesky Algorithms on Advanced Uniprocessor Computers", journal = "SIAM J. Sci. and Stat. Comput.", volume = "14", pages = "1034--1056", year = "1993"} @inproceedings {N45, author = "{Ng, E.}", title = "A Comparison of Some Direct Methods for Solving Sparse Nonsymmetric Linear Systems", booktitle = "Proc. $5^{th}$ SIAM Conf. on Applied Linear Algebra", address = "Snowbird, Utah", year = "1994"} % (O) ........................................................................ @article {O1, author = "{Ogbuobiri, E. C.} and {Tinney, W. F.} and {Walker, J. W.}", title = "Sparsity-Directed Decomposition for {Gaussian} Elimination on Matrices", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-89", number = "1", pages = "141--150", year = "1970"} @book {O2, author = "{Osterby, O.} and {Zlatev, Z.}", title = "Direct Methods for Sparse Matrices", series = "Lecture Notes in Computer Science", volume = "157", publisher = "Springer-Verlag", year = "1983"} @book {O3, author = "{Ortega, J. M.}", title = "Introduction to Parallel and Vector Solution of Linear Systems", publisher = "Plenum Press", address = "New York", year = "1988"} @techreport {O4, author = "{Ortega, J. M.} and {Voigt, R. G.} and {Romine, C. H.}", title = "A Bibliography on Parallel and Vector Numerical Algorithms", type = "{Tech. Report}", number = "ORNL-TM-10998", note = "(Also published at {Parallel Algorithms for Matrix Computations, SIAM Publications, 1990})", institution = "Oak Ridge National Laboratory", year = "1989"} @book {O5, author = "{Ortega, J. M.} and {Rheinboldt, W. C.}", title = "Iterative Solution of Nonlinear Equations in Several Variables", publisher = "Academic Press", year = "1970"} @article {O6, author = "{Ortega, J. M.}", title = "The $ijk$ Forms of Factorization Methods -- {I}~: {Vector} Computers", journal = "Parallel Computing", volume = "7", pages = "135--147", year = "1988"} @article {O7, author = "{Ortega, J. M.} and {Romine, C. H.}", title = "The $ijk$ Forms of Factorization Methods -- {II}~: {Parallel} Systems", journal = "Parallel Computing", volume = "7", pages = "149--162", year = "1988"} @article {O8, author = "{Ogielski, A. T.} and {Aiello, W.}", title = "Sparse Matrix Computations on a Parallel Processor Array", journal = "SIAM J. Sci. and Stat. Comput.", volume = "14", number = "3", pages = "519--530", year = "1993"} @book {O9, editor = "{Oh-Eigeartaigh, M.} and {Lenstra, J. K.} and {Rinnooy Kan, A. H. G.}", title = "Combinatorial Optimization~: Annotated Bibliographies", publisher = "John Wiley \& Sons", year = "1985"} @book {O10, author = "{Orchard-Hays, W.}", title = "Advanced Linear-Programming Computing Techniques", publisher = "McGraw-Hill", year = "1968"} @book {O11, author = "{Ostrowski, A. M.}", title = "Solution of Equations and Systems of Equations", edition = "$2^{nd}$", publisher = "Academic Press", year = "1966"} @book {O12, author = "{Ortega, J. M.} and {Poole, W.}", title = "An Introduction to Numerical Methods for Differential Equations", publisher = "Pitman", address = "Marshfield", year = "1981"} @article {O13, author = "{Overton, M. L.}", title = "Large-Scale Optimization of Eigenvalues", journal = "SIAM J. Optimization", volume = "2", pages = "88--120", year = "1992"} @article {O14, author = "{Ogbuobiri, E. C.}", title = "Dynamic Storage and Retrieval in Sparsity Programming", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-89", number = "1", pages = "150--155", year = "1970"} @book {O15, author = "{Ore, O.}", title = "Theory of Graphs", publisher = "American Mathematical Society Colloquium Publications", volume = "38", year = "1962"} @article {O16, author = "{O'Leary, D. P.}", title = "A Generalized Conjugate Gradient Algorithm for Solving a Class of Quadratic Programming Problems", journal = "Lin. Alg. and Appl.", volume = "34", pages = "371--399", year = "1980"} @book {O17, author = "{Ortega, J. M.}", title = "Numerical Analysis~: A Second Course", publisher = "Academic Press", year = "1972"} @book {O18, author = "{Ortega, J. M.}", title = "Matrix Theory~: A Second Course", publisher = "Plenum Press", year = "1988"} @article {O19, author = "{Ortega, J. M.} and {Voigt, R. G.}", title = "Solution of Partial Differential Equations on Vector and Parallel Computers", journal = "SIAM Review", volume = "27", pages = "149--240", year = "1985"} @article {O20, author = "{Ostlund, N.}", title = "{WATERLOOP V2/64}~: {A} Highly Parallel Machine for Numerical Computation", journal = "Comput. Phys. Comm.", volume = "37", pages = "109-117", year = "1985"} @article {O21, author = "{Ostrouchov, G.}", title = "Symbolic {Givens} Reduction and Row-ordering in Large Sparse Least Squares Problems", journal = "SIAM J. Sci. and Stat. Comput.", volume = "8", pages = "248--264", year = "1987"} @incollection {O22, author = "{Oohori, T.} and {Ohuchi, A.}", title = "Symbolic Generation of an Optimal {Karmarkar's} Algorithm for Sparse Linear Programs", editor = "{Sebastian, H. J.} and {Tammer, K.}", booktitle = "System Modelling and Optimization~: {Proc.} $14^{th}$ {IFIP} Conference, Leipzig, 1989", series = "Lecture Notes in Control and Information Science", volume = "143", pages = "194--203", publisher = "Springer-Verlag", year = "1990"} @mastersthesis {O23, author = "{Oliveira, F. S. G.}", title = "{ENTERPRISE}~: {Uma} Arquitetura {LISP}", school = "", year = "1991"} @article {O24, author = "{O'Leary, D. P.}", title = "On Bounds for Scaled Projections and Pseudo-Inverses", journal = "Lin. Alg. Appl.", volume = "132", pages = "115--117", year = "1990"} @incollection {O25, author = "{Ogbuobiri, E. C.}", title = "Sparsity Techniques in Power-system Grid-expansion Planning", editor = "{Reid, J. K.}", booktitle = "Large Sparse Sets of Linear Equations", pages = "219--230", publisher = "Academic Press", year = "1971"} @inproceedings {O26, author = "{Osborne, M. R.}", title = "A New Method for the Integration of Stiff Systems of Ordinary Differential Equations", booktitle = "Proc. {IFIP} Congress", address = "Edinburgh", year = "1968"} @article {O27, author = "{Ostrowski, A. M.}", title = "On the Convergence of the {Rayleigh} Quotient Iteration for the Computation of the Characteristic Roots and Vectors", journal = "Arch. Rational Mech. Anal.", volume = "3", pages = "341--347", year = "1959"} @article {O28, author = "{O'Brien, G. G.} and {Hyman, M. A.} and {Kaplan, S.}", title = "A Study of the Numerical Solution of Partial Differential Equations", journal = "J. Math. and Phys.", volume = "29", pages = "223--251", year = "1951"} @article {O29, author = "{Orchard-Hays, W.}", title = "Evolution of Linear Programming Computing Techniques", journal = "Management Science", volume = "4", pages = "183--190", year = "1958"} @article {O30, author = "{Osborne, E. E.}", title = "On Pre-conditioning of Matrices", journal = "J. ACM", volume = "7", pages = "338--345", year = "1960"} @book {O31, editor = "{Ortega, J. M.} and {Rheinboldt, W. C.}", title = "Numerical Solution of Nonlinear Problems~: {Studies} in Numerical Analysis {2}, Proc. Symposium sponsored by Office of Naval Research, Fall {SIAM} Meeting, Penna, 1968", publisher = "SIAM Publishing", year = "1970"} @incollection {O32, author = "{Orden, A.}", title = "Matrix Inversion and Related Topics by Direct Methods", booktitle = "Mathematical Methods for Digital Computers, volume {1}", publisher = "John Wiley \& Sons", year = "1960"} @article {O33, author = "{Oettlie, W.} and {Prager, W.} and {Wilkinson, J. H.}", title = "Admissible Solutions of Linear Systems with Not Sharply Defined Coefficients", journal = "SIAM J. Numer. Anal.", volume = "2", pages = "291--299", year = "1965"} @mastersthesis {O34, author = "{O'Byrne, B.}", title = "An Investigation of the Performance of Some Sparse Matrix Storage and Processing Algorithms in Computers with Paged Memory", school = "Dept. Computer Science, Univ. of Newcastle", year = "1975"} % (P) ........................................................................ @book {P1, author = "{Pissanetzky, S.}", title = "Sparse Matrix Technology", publisher = "Academic Press, Inc.", year = "1984"} @techreport {P2, author = "{Pissanetzky, S.}", title = "Gauss Elimination with Supersparse Matrices", type = "{Tech. Report}", number = "BNL-26773", institution = "Brookhaven National Laboratory", year = "1979"} @inproceedings {P3, author = "{Peters, F. J.}", title = "Sparse Matrices and Substructures with a Novel Implementation of Finite Element Algorithms", booktitle = "volume 119 of Mathematical Centre Tracts", address = "Amsterdam", year = "1980"} @article {P4, author = "{Pooch, U. W.} and {Neider, A.}", title = "A Survey of Indexing Techniques for Sparse Matrices", journal = "ACM Computing Surveys", volume = "5", pages = "109--133", year = "1973"} @article {P5, author = "{Paige, C. C.} and {Saunders, M. A.}", title = "Solution of Sparse Indefinite Systems of Linear Equations", journal = "SIAM J. Numer. Anal.", volume = "12", number = "4", pages = "617--629", year = "1975"} @article {P6, author = "{Paige, C. C.} and {Saunders, M. A.}", title = "{LSQR}~: {An} Algorithm for Sparse Linear Equations and Sparse Least Squares", journal = "ACM Trans. Math. Software", volume = "8", number = "1", pages = "43--71", year = "1982"} @article {P7, author = "{Powell, M. J. D.} and {Toint, Ph. L.}", title = "On the Estimation of Sparse {Hessian} Matrices", journal = "SIAM J. Numer. Anal.", volume = "16", pages = "1060--1074", year = "1979"} @techreport {P8, author = "{Plassmann, P. E.}", title = "Sparse {Jacobian} Estimation and Factorization on a Multiprocessor", type = "{Tech. Report}", number = "MCS-P-243-0591", institution = "Argonne National Laboratory", year = "1991"} @mastersthesis {P9, author = "{Pereira, L. A. C.}", title = "Implementa\c c\~ao de um Programa de Fluxo de Pot\^encia \'Otimo Utilizando Programa\c c\~ao Quadr\'atica Sequencial", school = "Depto. de Eng. de Sistemas e Computa\c c\~ao, COPPE/UFRJ", year = "1991"} @book {P10, author = "{Papadimitriou, C. H.} and {Steiglitz, K.}", title = "Combinatorial Optimization~: Algorithms and Complexity", publisher = "Prentice-Hall", year = "1982"} @book {P11, author = "{Polak, E.}", title = "Computational Methods in Optimization", publisher = "Academic Press", year = "1971"} @inproceedings {P12, author = "{Pan, V.}", title = "Strassen Algorithm is Not Optimal~: {Trilinear} Technique of Aggregating, Uniting and Canceling for Constructing Fast Algorithms for Matrix Multiplication", booktitle = "Proc. $19^{th}$ Annual Symposium on the Foundations of Computer Science", address = "Ann Arbor", pages = "166--176", year = "1978"} @article {P13, author = "{Pan, V.}", title = "How Can we Speed Up Matrix Multiplication~?", journal = "SIAM Review", volume = "26", pages = "393--415", year = "1984"} @book {P14, author = "{Pan, V.}", title = "How to Multiply Matrices Faster", series = "Lecture Notes in Computer Science", publisher = "Springer-Verlag", year = "1984"} @book {P15, author = "{Pratt, T. W.}", title = "Programming Languages~: Design and Implementation", publisher = "Prentice-Hall", year = "1975"} @book {P16, author = "{Preparata, F. P.} and {Shamos, M. I.}", title = "Computational Geometry~: An Introduction", publisher = "Springer-Verlag", year = "1985"} @techreport {P17, author = "{Pothen, A.} and {Sun, C.}", title = "A Distributed Multifrontal Algorithm Using Clique Trees", type = "{Tech. Report}", number = "CTC-91-TR-72", institution = "Cornell Theory Center Report, Cornell Univ.", year = "1991"} @article {P18, author = "{Peters, F. J.}", title = "Parallel Pivoting Algorithms for Sparse Symmetric Matrices", journal = "Parallel Computing", volume = "1", pages = "99--110", year = "1984"} @phdthesis {P19, author = "{Peyton, B. W.}", title = "Some Applications of Clique Trees to the Solution of Sparse Linear Systems", school = "Clemson Univ.", year = "1986"} @inproceedings {P20, author = "{Pan, V.} and {Reif, J.}", title = "Efficient Parallel Solution of Linear Systems", booktitle = "Proc. $17^{th}$ Annual {ACM} Symposium on Theory of Computing", pages = "143--152", year = "1985"} @book {P21, author = "{Pacitti, T.} and {Atkinson, C. P.}", title = "Programa\c c\~ao e M\'etodos Computacionais, volume {2}", note = "($2^{a}$ edi\c c\~ao)", publisher = "Livros T\'ecnicos e Cient\'\i ficos Editora", year = "1977"} @book {P22, author = "{Pacitti, T.}", title = "{FORTRAN-Monitor}, Princ\'\i pios", publisher = "Livros T\'ecnicos e Cient\'\i ficos Editora", year = "1968"} @book {P23, author = "{Piskounov, N.}", title = "C\'alculo Diferencial e Integral, volume {1}", note = "({Translated from the Russian original})", publisher = "Lopes da Silva Editora", address = "Porto", year = "1978"} @book {P24, author = "{Piskounov, N.}", title = "C\'alculo Diferencial e Integral, volume {2}", note = "({Translated from the Russian original})", publisher = "Lopes da Silva Editora", address = "Porto", year = "1978"} @book {P25, author = "{Press, W. H.} and {Flannery, B. P.} and {Teukolsky, S. A.} and {Vetterling, W. T.}", title = "Numerical Recipes~: The Art of Scientific Computing, ({FORTRAN} version)", publisher = "Cambridge University Press", year = "1989"} @book {P26, author = "{Peitgen, H.} and {Richter, P.}", title = "The Beauty of Fractals", publisher = "Springer-Verlag", year = "1986"} @book {P27, author = "{Piessens, R.} and others", title = "{QUADPACK}~: {A} Subroutine Package for Automatic Integration", publisher = "Springer-Verlag", year = "1983"} @article {P28, author = "{Pinto, H. J. C. P.} and {Teixeira, M. J.}", title = "Aplica\c c\~ao de Processamento Paralelo em Otimiza\c c\~ao de Grande Porte", journal = "Pesquisa Operacional", volume = "8", number = "2", pages = "47--64", year = "1988"} @article {P29, author = "{Phillips, A. T.} and {Rosen, J. B.}", title = "A Parallel Algorithm for Constrained Concave Quadratic Global Minimization", journal = "Math. Programming", volume = "42", number = "2", pages = "421--448", year = "1988"} @techreport {P30, author = "{Powell, M. J. D.}", title = "On the Number of Iterations of {Karmarkar} Algorithm for Linear Programming", type = "{Tech. Report}", number = "DAMTP-1991-NA-23", institution = "Dept. of Applied Mathematics and Theoretical Physics, Univ. Cambridge", year = "1991"} @techreport {P31, author = "{Poncele\'on, D. B.}", title = "Barrier Methods for Large-Scale Quadratic Programming", type = "{Tech. Report}", number = "SOL-91-2", institution = "Systems Optimization Laboratory, Stanford Univ.", year = "1991"} @book {P32, author = "{Polak, R.}", title = "Numerical Methods in Optimization", publisher = "Academic Press", year = "1961"} @article {P33, author = "{Parter, S.}", title = "The use of Linear Graphs in {Gaussian} Elimination", journal = "SIAM Review", volume = "3", pages = "119--130, 364--369", year = "1961"} @article {P34, author = "{Peschon, J.} and others", title = "Optimum Control of Reactive Power Flow", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-87", number = "1", pages = "40--48", year = "1968"} @article {P35, author = "{Peterson, N. M.} and {Meyer, W. S.}", title = "Automatic Adjustment of Transformer and Phase Shifter Taps in the {Newton} Power Flow", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-90", number = "1", pages = "103--109", year = "1971"} @phdthesis {P36, author = "{Paige, C. C.}", title = "The Computation of Eigenvalues and Eigenvectors of Very Large Sparse Matrices", school = "Univ. of London", year = "1971"} @techreport {P37, author = "{Parlett, B. N.} and {Reid, J. K.}", title = "Tracking the Progress of the {Lanczos} Algorithm for Large Symmetric Eigenproblems", type = "{Tech. Report}", number = "AERE-CSS-83", institution = "Harwell Laboratory", year = "1980"} @article {P38, author = "{Peters, G.} and {Wilkinson, J. H.}", title = "The Least Squares Problem and Pseudo-Inverses", journal = "Computing J.", volume = "13", pages = "309--316", year = "1970"} @article {P39, author = "{Padua, D. A.} and {Wolfe, M. J.}", title = "Advanced Compiler Optimizations for Supercomputers", journal = "Comm. ACM", volume = "29", number = "2", pages = "1184--1201", year = "1986"} @book {P40, author = "{Patel, R. V.} and {Laub, A. J.} and {van Dooren, P. M.}", title = "Numerical Linear Algebra Techniques for Systems and Control", publisher = "IEEE Press", year = "1994"} @inproceedings {P41, author = "{Padilha, A.}", title = "Metodologia para Solu\c c\~ao de Equa\c c\~oes Alg\'ebricas Esparsas em Computadores Vetoriais", booktitle = "Anais do V Simp\'osio Brasileiro de Arquitetura de Computadores e Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de Computa\c c\~ao", pages = "595--600", year = "1993"} @article {P42, author = "{Padilha, A.} and {Morelato, A.}", title = "A {W-Matrix} Methodology for Solving Sparse Network Equations on Multiprocessor Computers", journal = "IEEE Trans. Power Systems", volume = "PWRS-7", number = "3", pages = "1023--1030", year = "1992"} @inproceedings {P43, author = "{Padilha, A.} and {Morelato, A.}", title = "C\'alculo de Matrizes de Fatores Inversos para Multiprocessamento de Equa\c c\~oes de Redes El\'etricas", booktitle = "IX Congresso Brasileiro de Autom\'atica", address = "Vit\'oria", pages = "598--603", year = "1992"} @incollection {P44, author = "{Powell, M. J. D.}", title = "A New Algorithm for Unconstrained Optimization", editor = "{Rosen, J. B.} and {Mangasarian, O. L.} and {Ritter, K.}", booktitle = "Nonlinear Programming", publisher = "Academic Press", year = "1970"} @article {P45, author = "{Powell, M. J. D.}", title = "On the Global Convergence of Trust Region Algorithm for Unconstrained Minimization", journal = "Math. Programming", volume = "29", number = "3", pages = "297--303", year = "1984"} @incollection {P46, author = "{Powell, M. J. D.}", title = "Variable Metric Methods for Constrained Optimization", editor = "{Bachem, A.} and {Gr{\"o}tschel, M.} and {Korte, B.}", booktitle = "Mathematical Programming~: {The} State of the Art, Bonn 1982", publisher = "Springer-Verlag", year = "1983"} @techreport {P47, author = "{Powell, M. J. D.} and {Yuan, Y.}", title = "A Trust Region Algorithm for Equality Constrained Optimization", type = "{Tech. Report}", number = "DAMTP-1986-NA-2", institution = "Dept. of Applied Mathematics and Theoretical Physics, Univ. of Cambridge", address = "Cambridge, England", year = "1986"} @article {P48, author = "{Plauger, P. J.}", title = "A Review of {Kernighan} and {Ritchie} 1978", journal = "Computing Reviews", pages = "2--4", year = "1979"} @techreport {P49, author = "{Pothen, A.}", title = "Simplicial Cliques, Shortest Elimination Trees, and Supernodes in Sparse {Cholesky} Factorization", type = "{Tech. Report}", number = "CS-88-13", institution = "Dept. of Computer Science, Penn. State Univ.", address = "University Park", year = "1988"} @techreport {P50, author = "{Pothen, A.} and {Fan, C. J.}", title = "Computing the Block Triangular Form of a Sparse Matrix", type = "{Tech. Report}", number = "CS-88-51", note = "(To be published at {ACM Trans. Math. Software})", institution = "Dept. of Computer Science, Penn. State Univ.", address = "University Park", year = "1988"} @article {P51, author = "{Pothen, A.} and {Fan, C. J.}", title = "Computing the Block Triangular Form of a Sparse Matrix", journal = "ACM Trans. Math. Software", volume = "16", pages = "303--324", year = "1990"} @techreport {P52, author = "{Pothen, A.}", title = "The Complexity of Optimal Elimination Trees", type = "{Tech. Report}", number = "CS-88-16", institution = "Dept. of Computer Science, Penn. State Univ.", address = "University Park", year = "1988"} @article {P53, author = "{Pothen, A.} and {Simon, H.} and {Liou, K.}", title = "Partitioning Sparse Matrices with Eigenvectors of Graphs", journal = "SIAM J. Matrix Anal. and Appl.", volume = "11", pages = "430--452", year = "1990"} @unpublished {P54, author = "{Pothen, A.}", title = "Predicting the Structure of Sparse Orthogonal Factors", note = "({Manuscript})", year = "1991"} @article {P55, author = "{Pachl, J. K.}", title = "Finding Pseudoperipheral Nodes in Graphs", journal = "J. Comput. System Sci.", volume = "29", pages = "48--53", year = "1984"} @article {P56, author = "{Parlett, B. N.} and {Simon, H.} and {Stringer, L.}", title = "Estimating the Largest Eigenvalue with the {Lanczos} Algorithm", journal = "Math. of Computation", volume = "38", pages = "153--165", year = "1982"} @article {P57, author = "{Pissanetzky, S.}", title = "{KUBIK}~: {An} Automatic Three-Dimensional Finite Element Mesh Generator", journal = "Int. J. Numer. Meth. in Eng.", volume = "17", pages = "255--269", year = "1981"} @article {P58, author = "{Pissanetzky, S.}", title = "An Infinite Element and Formula for Numerical Quadrature over an Infinite Interval", journal = "Int. J. Numer. Meth. in Eng.", volume = "19", pages = "913--927", year = "1983"} @article {P59, author = "{Paige, C. C.} and {Saunders, M. A.}", title = "Algorithm 583~: {LSQR} -- {Sparse} Linear Equations and Least Squares Problems", journal = "ACM Trans. Math. Software", volume = "8", pages = "195--209", year = "1982"} @incollection {P60, author = "{Peters, F. J.}", title = "Parallelism and Sparse Linear Equations", editor = "{Evans, D. J.}", booktitle = "Sparsity and Its Applications", pages = "285--301", publisher ="Cambridge University Press", year = "1985"} @article {P61, author = "{Papadimitriou, C. H.}", title = "The {NP}-Completeness of the Bandwidth Minimization Problem", journal = "Computing", volume = "", year = ""} @article {P62, author = "{Parlett, B. N.} and {Reid, J. K.}", title = "On the Solution of System of Linear Equations whose Matrix is Symmetric but Not Definite", journal = "BIT", volume = "10", pages = "386--397", year = "1970"} @article {P63, author = "{Peters, G.} and {Wilkinson, J. H.}", title = "Symmetric Decomposition of Positive Definite Band Matrices", journal = "Numer. Math.", volume = "7", pages = "355--361", year = "1965"} @article {P64, author = "{Powell, M. J. D.}", title = "A Theorem on Rank One Modifications to a Matrix and its Inverse", journal = "Computing J.", volume = "12", pages = "288--290", year = "1969"} @article {P65, author = "{Pease, M. C.}", title = "Matrix Inversion using Parallel Processing", journal = "J. ACM", volume = "14", pages = "757--764", year = "1967"} @article {P66, author = "{Parlett, B. N.}", title = "{Laguerre's} Method Applied to the Matrix Eigenvalue Problem", journal = "Math. of Computation", volume = "18", pages = "464--485", year = "1964"} @article {P67, author = "{Parter, S.}", title = "On `Two Line' Iterative Methods for the {Laplace} and Biharmonic Difference Equations", journal = "Numer. Math.", volume = "1", pages = "240--252", year = "1959"} @article {P68, author = "{Parlett, B. N.}", title = "The Development and Use of Methods of {LR} Type", journal = "SIAM Review", volume = "6", pages = "275--294", year = "1964"} @article {P69, author = "{Petrie, G. W.}", title = "Matrix Inversion and Solution of Simultaneous Linear Algebraic Equations with the {IBM 604} Electronic Calculating Punch", journal = "Nat. Bur. Standards Appl. Math.", volume = "29", pages = "105--110", year = "1953"} @article {P70, author = "{Parter, S.}", title = "On the Eigenvalues and Eigenvectors of a Class of Matrices", journal = "SIAM J. Appl. Math.", volume = "8", pages = "376--388", year = "1960"} @book {P71, author = "{Przemieniecki, J. S.}", title = "Theory of Matrix Structural Analysis", publisher = "McGraw-Hill", year = "1968"} @book {P72, author = "{Peltier, J.}", title = "R\'esolution Num\'erique des \'Equations Alg\'ebriques", publisher = "", year = "1957"} @book {P73, author = "{Parodi, M.}", title = "Alg\`ebre des Matrices et Applications Physiques", publisher = "", year = "1958"} @book {P74, author = "{Parodi, M.}", title = "La Localisation des Valeurs Caract\'eristiques des Matrices et ses Applications", publisher = "Gauthier et Villars", year = "1959"} @article {P75, author = "{Peaceman, D. W.} and {Rachford, H. H.}", title = "The Numerical Solution of Parabolic and Elliptic Differential Equations", journal = "SIAM J. Appl. Math.", volume = "3", pages = "28--41", year = "1955"} @article {P76, author = "{Paton, K.}", title = "An Algorithm for the Blocks and Cutnodes of a Graph", journal = "Comm. ACM", volume = "14", pages = "468--475", year = "1971"} @book {P77, author = "{Page, E. S.} and {Wilson, L. B.}", title = "Information Representation and Manipulation in a Computer", publisher = "Cambridge University Press", year = "1973"} @article {P78, author = "{Ponstein, J.}", title = "Self-Avoiding Paths and the Adjacency Graph of a Matrix", journal = "SIAM J. Appl. Math.", volume = "14", pages = "600--609", year = "1966"} @article {P79, author = "{Purdom, P. Jr.}", title = "A Transitive Closure Algorithm", journal = "BIT", volume = "10", pages = "76--94", year = "1970"} @inproceedings {P80, author = "{Pearson, K. R.} and {Rimmer, R. J.}", title = "An Efficient Method for the Solution of Large Computable General Equilibrium Models", booktitle = "Proc. $6^{th}$ Biennial Conference of the Simulation Society of Australia", note = "(Published at {Journal of the International Association for Mathematics and Computers in Simulation})", year = "1984"} @inproceedings {P81, author = "{Pearson, K. R.} and {Rimmer, R. J.}", title = "Sparse Matrix Methods on the {VAX 11/780}", booktitle = "Proc. $24^{th}$ European {DECUS} Symposium", pages = "545--552", address = "Amsterdam", year = "1984"} @article {P82, author = "{Platzman, G. W.}", title = "Normal Modes of the {Atlantic} and {Indian} Oceans", journal = "J. Phys. Oceanography", volume = "5", pages = "201--221", year = "1975"} @book {P83, author = "{Postnikov, M. M.}", title = "The Variational Theory of Geodesics", publisher = "Dover Publications", year = "1967"} @article {P84, author = "{Patterson, D. A.}", title = "Microprogramming", journal = "Scientific American", volume = "248", number = "3", pages = "36--43", year = "1983"} @article {P85, author = "{Patterson, D. A.}", title = "Reduced Instruction Set Computers", journal = "Comm. ACM", volume = "28", number = "1", pages = "8--21", year = "1985"} @book {P86, author = "{Przybylski, S. A.}", title = "Cache Design~: {A} Performance-Directed Approach", publisher = "Morgan Kaufmann Publishers", year = "1990"} @article {P87, author = "{Prim, R. C.}", title = "Shortest Connection Networks and Some Generalizations", journal = "Bell Systems Technology Journal", volume = "36", pages = "1389--1401", year = "1957"} @misc {P88, author = "{PDS}", title = "The Performance Database Server", address = "http://performance.netlib.org/performance/", year = "1995"} @techreport {P89, author = "{Pothen, A.} and {Rothberg, E.} and {Simon, H.} and {Wang, L.}", title = "Parallel Sparse Cholesky Factorization with Spectral Nested Dissection Ordering", type = "{Tech. Report}", number = "RN-94-011", institution = "NASA Ames Research Center", year = "1994"} @techreport {P90, author = "{Pothen, A.} and {Rothberg, E.} and {Simon, H.} and {Wang, L.}", title = "Parallel Sparse Cholesky Factorization using Spectral Nested Dissection Ordering on the {INTEL} {PARAGON}", type = "{Tech. Report}", note = "({In preparation})", year = "1994"} @techreport {P91, author = "{Pothen, A.} and {Wang, L.}", title = "An Improved Spectral Nested Dissection Algorithm", type = "{Tech. Report}", note = "({In preparation})", year = "1994"} @techreport {P92, author = "{Pothen, A.} and {Simon, H.} and {Wang, L.}", title = "Spectral Nested Dissection", type = "{Tech. Report}", number = "CS-92-01", institution = "Computer Science Dept., Pennsylvania State Univ.", year = "1992"} @article {P93, author = "{Pothen, A.} and {Sun, C.}", title = "A Mapping Algorithm for Parallel Sparse Cholesky Factorization", journal = "SIAM J. Sci. and Stat. Comput.", volume = "14", pages = "1253--1257", year = "1993"} % (Q) ........................................................................ @book {Q1, author = "{Quinn, M. J.}", title = "Designing Efficient Algorithms for Parallel Computers", publisher = "McGraw-Hill", year = "1987"} @article {Q2, author = "{Quinn, M. J.} and {Deo, N.}", title = "Parallel Graph Algorithms", journal = "ACM Computing Surveys", volume = "16", pages = "319--348", year = "1984"} @inproceedings {Q3, author = "{Qing-shi, G.} and {Rong-Quan, W.}", title = "Vector Computer for Sparse Matrix Operations", booktitle = "Proc. 1983 International Conference on Parallel Processing", pages = "87--89", year = "1983"} % (R) ........................................................................ @techreport {R1, author = "{Reid, J. K.}", title = "Sparse Matrices", type = "{Tech. Report}", number = "84-1316", institution = "Harwell Laboratory", year = "1986"} @techreport {R2, author = "{Reid, J. K.}", title = "{FORTRAN} Subroutines for Handling Sparse Linear Programming Bases", type = "{Tech. Report}", number = "AERE-R-8269", institution = "HMSO", address = "London", year = "1976"} @techreport {R3, author = "{Reid, J. K.}", title = "{TREESOLVE}~: {A} {FORTRAN} Package for Solving Large Sets of Linear Finite-Element Equations", type = "{Tech. Report}", number = "CSS-155", institution = "Computer Science and Systems Division, AERE Harwell Laboratory", year = "1984"} @article {R4, author = "{Reid, J. K.}", title = "A Sparsity Exploiting Variant of the {Bartels-Golub} Decomposition for Linear Programming Bases", journal = "Math. Programming", volume = "24", pages = "55--69", year = "1982"} @book {R5, editor = "{Reid, J. K.}", title = "Large Sparse Sets of Linear Equations", publisher = "Academic Press", year = "1971"} @article {R6, author = "{Rose, D. J.} and {Whitten, G. F.} and {Sherman, A. H.} and {Tarjan, R. E.}", title = "Algorithms and Software for In-Core Factorization of Sparse Symmetric Positive Definite Matrices", journal = "Computer \& Structures", volume = "11", pages = "597--608", year = "1980"} @article {R7, author = "{Rose, D. J.} and {Tarjan, R. E.}", title = "Algorithm Aspects of Vertex Elimination on Directed Graphs", journal = "SIAM J. Appl. Math.", volume = "34", number = "1", pages = "176--197", year = "1978"} @article {R8, author = "{Rose, D. J.} and {Tarjan, R. E.} and {Lueker, G. S.}", title = "Algorithm Aspects of Vertex Elimination on Graphs", journal = "SIAM J. Computing", volume = "5", number = "2", pages = "266--283", year = "1976"} @incollection {R9, author = "{Rose, D. J.}", title = "A Graph-Theoretic Study of the Numerical Solution of Sparse Positive Definite Systems of Linear Equations", editor = "{Read, R.}", booktitle = "Graph Theory and Computing", pages = "183--217", publisher = "Academic Press", year = "1973"} @article {R10, author = "{Rose, D. J.}", title = "Triangulated Graphs and the Elimination Process", journal = "J. Math. Anal. Appl.", volume = "32", pages = "597--609", year = "1970"} @techreport {R11, author = "{Rothberg, E.} and {Gupta, A.}", title = "Fast Sparse Matrix Factorization on Modern Workstations", type = "{Tech. Report}", number = "STAN-CS-89-1286", institution = "Stanford Univ.", year = "1989"} @proceedings {R12, editor = "{Rustin, R.}", title = "Design and Optimization of Compilers", note = "($5^{th}$ {C}ourant Computer Science Symposium)", publisher = "Prentice-Hall", year = "1972"} @book {R13, author = "{Roberts, E.}", title = "Thinking Recursively", publisher = "John Wiley \& Sons", year = "1986"} @article {R14, author = "{Reichel, L.} and {Varga, R. S.} and {Ruttan, A.}", title = "{Kent State} Launches {E}lectronic {N}umerical {A}nalysis Journal", journal = "SIAM News", volume = "26", number = "6", pages = "20", year = "1993"} @article {R15, author = "{Romero, L. F.} and {Zapata, E. L.}", title = "Data Distributions for Sparse Matrix Vector Multiplication", journal = "Parallel Computing", volume = "21", pages = "583--605", year = "1995"} @article {R16, author = "{Rothberg, E.} and {Gupta, A.}", title = "Techniques for Improving the Performance of Sparse {Cholesky} Factorization on Multiprocessor Workstations", journal = "Proc. Supercomputing", volume = "90", pages = "232--243", year = "1990"} @phdthesis {R17, author = "{Rothberg, E.}", title = "Exploiting the Memory Hierarchy in Sequential and Parallel Sparse {Cholesky} Factorization", school = "Stanford Univ.", year = "1993"} @article {R18, author = "{Rothberg, E.}", title = "Alternatives for Solving Sparse Triangular Systems on Distributed-Memory Multiprocessors", journal = "Parallel Computing", volume = "21", pages = "1121--1136", year = "1995"} @article {R19, author = "{Rothberg, E.} and {Gupta, A.}", title = "Efficient Sparse Matrix Factorization on High-Performance Workstations~: {Exploiting} the Memory Hierarchy", journal = "ACM Trans. Math. Software", volume = "17", pages = "313--334", year = "1991"} @book {R20, author = "{Riesel, H.}", title = "Prime Numbers and Computer Methods for Factorization", publisher = "Birkh{\"a}user Verlag", year = "1985"} @book {R21, author = "{Rich, R. P.}", title = "Internal Sorting Methods Illustrated with {PL/I} Programs", publisher = "Prentice-Hall", year = "1972"} @book {R22, author = "{Ralston, A.} and {Rabinowitz, P.}", title = "A First Course in Numerical Analysis", edition = "$2^{nd}$", publisher = "McGraw-Hill", note = "({First edition, 1965})", year = "1978"} @book {R23, editor = "{Ralston, A.} and {Wilf, H. S.}", title = "Mathematical Methods for Digital Computers, volume {1}", publisher = "John Wiley \& Sons", year = "1960"} @book {R24, editor = "{Ralston, A.} and {Wilf, H. S.}", title = "Mathematical Methods for Digital Computers, volume {2}", publisher = "John Wiley \& Sons", year = "1967"} @book {R25, author = "{Rice, J. R.}", title = "The Approximation of Functions, volume {1}", publisher = "Addison-Wesley", year = "1964"} @book {R26, author = "{Rice, J. R.}", title = "The Approximation of Functions, volume {2}", publisher = "Addison-Wesley", year = "1964"} @book {R27, author = "{Rice, J. R.}", title = "Numerical Methods, Software, and Analysis", publisher = "McGraw-Hill", year = "1983"} @book {R28, author = "{Redish, K. A.}", title = "An Introduction to Computational Methods", publisher = "John Wiley \& Sons", year = "1961"} @book {R29, author = "{Roy, M. R.}", title = "A History of Computing Technology", publisher = "Prentice-Hall", year = "1985"} @book {R30, author = "{Rosenfeld, A.} and {Kak, A.}", title = "Digital Picture Processing", publisher = "Academic Press", year = "1982"} @book {R31, author = "{Rubinstein, R.}", title = "Simulation and the {Monte Carlo} Method", publisher = "John Wiley \& Sons", year = "1981"} @article {R32, author = "{Reid, J. K.}", title = "A Note on the Stability of {Gaussian} Elimination", journal = "J. Inst. Math. Appl.", volume = "8", pages = "374--375", year = "1971"} @article {R33, author = "{Reid, J. K.}", title = "A Method for Finding the Optimum Successive Over-Relaxation Parameter", journal = "Computing J.", volume = "9", pages = "200--204", year = "1966"} @techreport {R34, author = "{Reid, J. K.}", title = "A Package of Subroutines for the Solution of Very Large Sets of Linear Finite-Element Equations", type = "{Tech. Report}", number = "AERE-M-2947", institution = "Harwell Laboratory", year = "1978"} @incollection {R35, author = "{Reid, J. K.}", title = "A Survey of Sparse Matrix Computation", editor = "{Erisman, A. M.} and {Neves, K. W.} and {Dwarakanath, M. H.}", booktitle = "Electric Power Problems~: {The} Mathematical Challenge", pages = "41--68", publisher = "SIAM Publications", year = "1980"} @incollection {R36, author = "{Reid, J. K.}", title = "Least Squares Solution of Sparse Systems of Non-Linear Equations by a Modified {Marquardt} Algorithm", editor = "{Himmelblau, D. M.}", booktitle = "Proc. {NATO} Conference at Cambridge, 1972", pages = "437--445", publisher = "North-Holland", year = "1973"} @article {R37, author = "{Rutishauer, H.}", title = "Simultaneous Iteration Method for Symmetric Matrices", journal = "Numer. Math.", volume = "16", pages = "205--223", year = "1970"} @book {R38, author = "{Rockafellar, T.}", title = "Convex Analysis", volume = "28", series = "Princeton Mathematics Series", publisher = "Princeton University Press", year = "1970"} @article {R39, author = "{Rosen, J. B.}", title = "Global Minimization of a Linearly Constrained Concave Function by Partition of Feasible Domain", journal = "Math. Oper. Res.", volume = "8", pages = "215--230", year = "1983"} @techreport {R40, author = "{Rosen, J. B.}", title = "Parametric Global Minimization for Large-Scale Problems", type = "{Tech. Report}", number = "81-40", institution = "Computer Science Dept., Univ. of Minnesota", year = "1981"} @book {R41, author = "{Ritchie, D. M.}", title = "${C}$ {R}eference Manual", series = "Documents for use with the {UNIX} Time-Sharing System", edition = "$5^{th}$", publisher = "BELL Labs.", year = "1974"} @article {R42, author = "{Ritchie, D. M.} and {Johnson, S. C.} and {Lesk, M. E.} and {Kernighan, B. W.}", title = "The ${C}$ Programming Language", journal = "BELL System Tech. Journal", volume = "57", number = "6", pages = "1991--2019", year = "1978"} @article {R43, author = "{Ritchie, D. M.} and {Thompson, K.}", title = "The {UNIX} Time-Sharing System", journal = "Comm. ACM", volume = "17", number = "7", pages = "365--375", note = "(Revised in {BELL System Tech. Journal, 57(6):1905--1929, 1978})", year = "1974"} @incollection {R44, author = "{Reid, J. K.}", title = "On the Method of Conjugate Gradients for the Solution of Large Sparse Systems of Linear Equations", booktitle = "Proc. of the Conference on Large Sparse Sets of Linear Equations", publisher = "Academic Press", address = "New York", year = "1971"} @book {R45, editor = "{Read, R.}", title = "Graph Theory and Computing", publisher = "Academic Press", year = "1973"} @book {R46, editor = "{Reingold, E. M.} and {Nievergelt, J.} and {Deo, N.}", title = "Combinatorial Algorithms~: Theory and Practice", publisher = "Prentice-Hall", year = "1977"} @article {R47, author = "{Rivest, R. L.} and {Vuillemin, J.}", title = "On Recognizing Graph Properties from Adjacency Matrices", journal = "Theoret. Comput. Sci.", volume = "3", pages = "371--384", year = "1976"} @book {R48, editor = "{Rodrigue, G.}", title = "Parallel Processing for Scientific Computing", publisher = "SIAM Publications", year = "1989"} @incollection {R49, author = "{Raghavan, P.} and {Pothen, A.}", title = "Parallel Orthogonal Factorization", editor = "{Lewis, J. G.} and {Gilbert, J. R.}", booktitle = "Symposium on Sparse Matrices", address = "Salishan Resort, Gleneden Beach, Oregon", publisher = "SIAM Publications", year = "1989"} @article {R50, author = "{Ryder, B. G.}", title = "The {PFORT} Verifier", journal = "Software Practice and Experience", volume = "4", pages = "359--377", year = "1974"} @incollection {R51, author = "{Rose, D. J.} and {Whitten, G. F.}", title = "Automatic Nested Dissection", booktitle = "Proc. {ACM} National Conference", pages = "82--88", year = "1974"} @incollection {R52, author = "{Rose, D. J.} and {Whitten, G. F.}", title = "A Recursive Analysis of Dissection Strategies", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", pages = "59--84", publisher = "Academic Press", year = "1976"} @article {R53, author = "{Rose, D. J.}", title = "On Simple Characterization of $k$-Trees", journal = "Discrete Math.", volume = "7", pages = "317--322", year = "1974"} @book {R54, editor = "{Rosen, J. B.} and {Mangasarian, O. L.} and {Ritter, K.}", title = "Nonlinear Programming", publisher = "Academic Press", year = "1970"} @article {R55, author = "{Rheinboldt, W. C.} and {Mesztenyi, C. K.}", title = "Arc Graphs and Their Possible Application to Sparse Matrix Problems", journal = "BIT", volume = "14", pages = "227--239", year = "1973"} @article {R56, author = "{Rose, D. J.}", title = "A Note on Consistent Ordering and Zero Circulation", journal = "J. ACM", volume = "18", pages = "573--575", year = "1971"} @book {R57, author = "{Rockafellar, T.}", title = "Conjugate Duality and Optimization", publisher = "SIAM Publications", year = "1974"} @book {R58, author = "{Rheinboldt, W. C.}", title = "Methods for Solving Systems of Nonlinear Equations", publisher = "SIAM Publications", year = "1974"} @book {R59, editor = "{Ringeisen, R. D.} and {Roberts, F. S.}", title = "Applications of Discrete Mathematics, Proc. Conference held in Clemson, South Carolina, 1986", publisher = "SIAM Publications", year = "1988"} @article {R60, author = "{Renegar, J.}", title = "Some Perturbation Theory for Linear Programming", journal = "Math. Programming", volume = "65", number = "1", pages = "73--92", year = "1994"} @unpublished {R61, author = "{Renegar, J.}", title = "Linear Programming, Complexity, Theory and Elementary Functional Analysis", note = "(To be published at {Math. Programming})"} @unpublished {R62, author = "{Renegar, J.}", title = "Incorporating Condition Measures into the Complexity Theory of Linear Programming", note = "(To be published at {SIAM J. Optimization})"} @article {R63, author = "{Ramawoorthy, C. V.} and {Li, H. F.}", title = "Pipeline Architecture", journal = "ACM Computing Surveys", volume = "9", number = "1", pages = "61--102", year = "1977"} @phdthesis {R64, author = "{Rose, D. J.}", title = "Symmetric Elimination on Sparse Positive Definite Systems and Potential Flow Network Problem", school = "Mathematics Dept., Harvard Univ., Cambridge", note = "({Partially revised and published in Graph Theory and Computing, Reed, R., ed., Academic Press, 1971})", year = "1970"} @article {R65, author = "{Rabinowitz, P.}", title = "Applications of Linear Programming to Numerical Analysis", journal = "SIAM Review", volume = "10", pages = "121--159", year = "1968"} @inproceedings {R66, author = "{Rose, D. J.} and {Tarjan, R. E.}", title = "Algorithmic Aspects of Vertex Elimination", booktitle = "Proc. $7^{th}$ Annual {ACM} Symposium on Theory of Computing", pages = "245--254", year = "1975"} @incollection {R67, author = "{Reid, J. K.}", title = "Direct Methods for Sparse Matrices", editor = "{Evans, D. J.}", booktitle = "Software for Numerical Mathematics", pages = "29--47", publisher = "Academic Press", year = "1974"} @techreport {R68, author = "{Reid, J. K.}", title = "Two {FORTRAN} Subroutines for Direct Solution of Linear Equations whose Matrix is Sparse, Symmetric and Positive-Definite", type = "{Tech. Report}", number = "R-7119", institution = "AERE/HMSO", year = "1972"} @article {R69, author = "{Russo, P. M.}", title = "On the Time Domain Analysis of Linear Time Invariant Networks with Large Time Constant Spreads by Digital Computer", journal = "IEEE Trans. Circuit Theory", volume = "", year = ""} @article {R70, author = "{Rose, D. J.}", title = "An Algorithm for Solving a Special Class of Tridiagonal Systems of Linear Equations", journal = "Comm. ACM", volume = "12", pages = "234--236", year = "1969"} @proceedings {R71, editor = "{Rall, L. B.}", title = "Error in Digital Computation, volume {1}, Proc. of the Symposium of the Mathematics Research Center, 1964", organization = "Univ. Wisconsin", address = "Madison", year = "1965"} @proceedings {R72, editor = "{Rall, L. B.}", title = "Error in Digital Computation, volume {2}, Proc. of the Symposium of the Mathematics Research Center, 1965", organization = "Univ. Wisconsin", address = "Madison", year = "1965"} @book {R73, editor = "{Reed, R.}", title = "Graph Theory and Computing", publisher = "Academic Press", year = "1971"} @article {R74, author = "{Rosen, A.}", title = "A New Network Theorem", journal = "J. IEE, London", volume = "62", pages = "916--918", year = "1924"} @article {R75, author = "{Rollet, J. S.} and {Wilkinson, J. H.}", title = "An Efficient Scheme for the Codiagonalization of a Symmetric Matrix with a Two-Level Store", journal = "Computing J.", volume = "4", pages = "177--180", year = "1961"} @article {R76, author = "{Randell, B.} and {Kuehner, J.}", title = "Dynamic Storage Allocation Systems", journal = "Comm. ACM", volume = "11", pages = "297--306", year = "1968"} @article {R77, author = "{Reiter, R.}", title = "Scheduling Parallel Computations", journal = "J. ACM", volume = "15", pages = "590--599", year = "1968"} @article {R78, author = "{Rosenfeld, J. L.}", title = "A Case Study in Programming for Parallel Processors", journal = "Comm. ACM", volume = "12", pages = "645--655", year = "1969"} @article {R79, author = "{Roth, J. P.}", title = "An Application of Algebraic Topology~: {Kron's} Method of Tearing", journal = "Quart. Appl. Math.", volume = "17", pages = "1--24", year = "1959"} @inproceedings {R80, author = "{Rosen, R.}", title = "Matrix Bandwidth Minimization", booktitle = "Proc. {ACM} National Conference", address = "Las Vegas, Nevada", year = "1968"} @book {R81, author = "{Riley, V.} and {Gass, S. I.}", title = "Linear Programming and Associated Techniques", series = "Bibliographic Reference Series", publisher = "Johns Hopkins Press", year = "1958"} @article {R82, author = "{Ramamoorthy, C. V.} and {Chandy, K. M.} and {Gonzalez, M. J.}", title = "Optimal Scheduling Strategies in a Multiprocessor System", journal = "IEEE Trans. Comput.", volume = "C-21", pages = "137--146", year = "1972"} @techreport {R83, author = "{Rheinboldt, W. C.} and {Mesztenyi, C. K.}", title = "Programs for the Solution of Large Sparse Matrix Problems Based on the Arc-Graph Structure", type = "{Tech. Report}", number = "TR-262", institution = "Computer Science Center, Univ. of Maryland", year = "1973"} @article {R84, author = "{Rosenblatt, D.}", title = "On the Graphs and Asymptotic Forms of Finite {Boolean} Relation Matrices and Stochastic Matrices", journal = "Naval Res. Logistics Quart.", volume = "4", pages = "151--167", year = "1957"} @proceedings {R85, editor = "{Rose, D. J.} and {Willoughby, R. A.}", title = "Sparse Matrices and Their Applications, ", note = "({Proc. of the Conference at {IBM} Research Center, Yorktown Heights, Sept. 9--10, 1971})", publisher = "Plenum Press", address = "New York", year = "1972"} @inproceedings {R86, author = "{Rheinboldt, W. C.} and {Mesztenyi, C. K.}", title = "{GRAAL}~: {A} {Graph} {A}lgorithmic {L}anguage", editor = "{Willoughby, R. A.}", booktitle = "Sparse Matrix Proceedings, Symposium on Sparse Matrices and Their Applications", pages = "167--176", organization = "IBM Thomas J. Watson Research Center", address = "Yorktown Heights, New York", year = "1969"} @article {R87, author = "{Rheinboldt, W. C.} and {Mesztenyi, C. K.}", title = "On a Programming Language for Graph Algorithms", journal = "BIT", volume = "12", pages = "220--241", year = "1972"} @article {R88, author = "{Ross, I. C.} and {Harary, F.}", title = "A Description of Strengthening and Weakening Members of a Group", journal = "Sociometry", volume = "22", pages = "139--147", year = "1959"} @article {R89, author = "{Rutishauser, H.}", title = "On {Jacobi} Rotation Patterns", journal = "Proc. Symposia in Applied Mathematics", volume = "15", pages = "219--239", year = "1963"} @article {R90, author = "{Russel, R. M.}", title = "The {CRAY-1} Computer System", journal = "Comm. ACM", volume = "21", number = "1", pages = "63--72", year = "1978"} @article {R91, author = "{Rendl, F.} and {Wolkowicz, H.}", title = "A Projection Technique for Partitioning the Nodes of a Graph", journal = "Annals of Oper. Res.", note = "({To be published})", year = "1994"} @inproceedings {R92, author = "{Reed, B.}", title = "Finding Approximate Separators and Computing Tree-Width Quickly", booktitle = "Proc. $24^{th}$ Annual Symposium on Theory of Computing", pages = "221--228", year = "1992"} @article {R93, author = "{Robertson, N.} and {Seymour, P. D.}", title = "Graph Minors -- {X}:~ {Obstructions} to Tree-Decompositions", journal = "J. Comb. Theory Series B", volume = "52", pages = "153--190", year = "1991"} @techreport {R94, author = "{Robertson, N.} and {Seymour, P. D.}", title = "Graph Minors -- {XIII}:~ {The} Disjoint Path Problem", type = "{Manuscript}", year = "1986"} @article {R95, author = "{Robertson, N.} and {Seymour, P. D.}", title = "Graph Minors -- {II}:~ {Algorithmic} Aspects of Tree-Width", journal = "J. of Algorithms", volume = "7", pages = "309--322", year = "1986"} @article {R96, author = "{Rothberg, E.} and {Gupta, A.}", title = "An Evaluation of Left-Looking, Right-Looking and Multifrontal Approaches to Sparse {Cholesky} Factorization on Hierarchical-Memory Machines", journal = "Int. J. High Speed Computing", volume = "5", pages = "537--593", year = "1993"} @article {R97, author = "{Rothberg, E.} and {Gupta, A.}", title = "An Efficient Block-oriented Approach to Parallel Sparse {Cholesky} Approaches to Sparse {Cholesky} Factorization", journal = "Supercomputing", pages = "503--512", month = "November", year = "1993"} @article {R98, author = "{Rothberg, E.}", title = "Alternatives for Solving Sparse Triangular Systems of Equations", journal = "Parallel Computing", note = "({To be published})", year = "1995"} @inproceedings {R99, author = "{Rothberg, E.} and {Gupta, A.} and {Ng, E.} and {Peyton, B.}", title = "Parallel Sparse {Cholesky} Factorization Algorithms for Shared-Memory Multiprocessor Systems", booktitle = "Proc. $7^{th}$ {IMACS} International Conference on Computer Methods for Partial Differential Equations", year = "1992"} @inproceedings {R100, author = "{Rothberg, E.}", title = "Performance of Panel and Block Approaches to Sparse {Cholesky} Factorization on the {INTEL} {iPSC/860} and {PARAGON} Multicomputers", booktitle = "Proc. 1994 Scalable High Performance Computing Conference (SHPCC '94)", year = "1994"} % (S) ........................................................................ @article {S1, author = "{Schreiber, R.}", title = "A New Implementation of Sparse {Gaussian} Elimination", journal = "ACM Trans. Math. Software", volume = "8", number = "3", pages = "256--276", year = "1982"} @book {S2, author = "{Schendel, U.}", title = "Sparse Matrices~: Numerical Aspects with Applications for Scientists and Engineers", publisher = "Halsted Press", year = "1989"} @book {S3, author = "{Stewart, G. W.}", title = "Introduction to Matrix Computations", publisher = "Academic Press", year = "1973"} @article {S4, author = "{Stewart, G. W.}", title = "Modifying Pivot Elements in {Gaussian} Elimination", journal = "Math. of Computation", volume = "28", pages = "537--542", year = "1974"} @article {S5, author = "{Sherman, A. H.}", title = "Algorithms for Sparse {Gaussian} Elimination with Partial Pivoting", journal = "ACM Trans. Math. Software", volume = "4", number = "4", pages = "330--338", year = "1978"} @techreport {S6, author = "{Sherman, A. H.}", title = "On the Efficient Solution of Sparse Systems of Linear and Non-Linear Equations", type = "{Tech. Report}", number = "46", institution = "Dept. of Computer Science, Yale Univ.", year = "1975"} @article {S7, author = "{Sherman, A. H.}", title = "Algorithm 533~: {NSPIV} -- {A} {FORTRAN} Subroutine for Sparse {Gaussian} Elimination with Partial Pivoting", journal = "ACM Trans. Math. Software", volume = "4", number = "4", pages = "391--398", year = "1978"} @incollection {S8, author = "{Sadayappan, P.} and {Visvanathan, V.}", title = "Distributed Sparse Factorization of Circuit Matrices via Recursive E-tree Partitioning", editor = "{Lewis, J. G.} and {Gilbert, J. R.}", booktitle = "Symposium on Sparse Matrices", address = "Salishan Resort, Gleneden Beach, Oregon", publisher = "SIAM Publications", year = "1989"} @article {S9, author = "{Shanno, D. F.}", title = "On Variable-Metric Methods for Sparse Hessians", journal = "Math. of Computation", volume = "34", number = "150", pages = "499--514", year = "1980"} @book {S10, author = "{Schwarz, H. R.} and {Rutishauer, H.} and {Stiefel, E.}", title = "Numerical Analysis of Symmetric Matrices", publisher = "Prentice-Hall", year = "1973"} @book {S11, author = "{Strang, G. W.}", title = "Linear Algebra and its Applications", edition = "$2^{nd}$", publisher = "Academic Press", year = "1980"} @book {S12, author = "{Stone, H. S.}", title = "High Performance Computer Architecture", edition = "$2^{nd}$", publisher = "Addison-Wesley", year = "1990"} @article {S13, author = "{Stone, H. S.}", title = "Parallel Tridiagonal Equation Solvers", journal = "ACM Trans. Math. Software", volume = "1", number = "4", pages = "289--307", year = "1975"} @article {S14, author = "{Sleator, D. D.} and {Tarjan, R. E.}", title = "Self-Adjusting Heaps", journal = "SIAM J. Computing", volume = "15", number = "1", pages = "52--69", year = "1986"} @book {S15, author = "{Sedgewick, R.}", title = "Algorithms", edition = "$2^{nd}$", publisher = "Addison-Wesley", year = "1988"} @inproceedings {S16, author = "{Szwarcfiter, J. L.} and {Markenzon, L.}", title = "Estruturas de Dados e Seus Algoritmos", booktitle = "{I} Escola Brasileira de Otimiza\c c\~ao", address = "Rio de Janeiro", year = "1989"} @book {S17, author = "{Syslo, M.} and {Deo, N.} and {Kowalik, J.}", title = "Discrete Optimization Algorithms with {PASCAL} Programs", publisher = "Prentice-Hall", year = "1983"} @article {S18, author = "{Strassen, V.}", title = "{Gaussian} Elimination is Not Optimal", journal = "Numer. Math.", volume = "13", pages = "354--356", year = "1969"} @book {S19, author = "{Storer, J. A.}", title = "Data Compression~: Methods and Theory", publisher = "Computer Science Press", year = "1988"} @article {S20, author = "{Saunders, M. A.}", title = "Major {Cholesky} Would Feel Proud", journal = "ORSA J. Computing", volume = "6", number = "1", pages = "23--27", year = "1994"} @article {S21, author = "{Schnabel, R. B.} and {Eskow, E.}", title = "A New Modified {Cholesky} Factorization", journal = "SIAM J. Sci. and Stat. Comput.", volume = "11", number = "6", pages = "1136--1158", year = "1990"} @article {S22, author = "{Springer, J.}", title = "Exact Solution of General Integer Systems of Linear Equations", journal = "ACM Trans. Math. Software", volume = "12", number = "1", pages = "51--61", year = "1986"} @techreport {S23, author = "{Saad, Y.}", title = "{Gaussian} Elimination on Hypercubes", type = "{Tech. Report}", number = "YALEU-DCS-RR-462", institution = "Dept. of Computer Science, Yale Univ.", year = "1986"} @techreport {S24, author = "{Simon, H. D.} and {Vu, P.} and {Yang, C.}", title = "Performance of a Supernodal General Sparse Solver on the {CRAY} {Y-MP}", type = "{Tech. Report}", number = "SCA-TR-117", institution = "Boeing Computer Services", address = "Seattle, Washington", year = "1989"} @techreport {S25, author = "{Speelpenning, B.}", title = "The Generalized Element Method", type = "{Tech. Report}", number = "UIUC-DCS-R-78-946", institution = "Dept. of Computer Science, Univ. of Illinois", address = "Urbana", year = "1978"} @book {S26, editor = "{Spedicato, E.}", title = "Algorithms for Continuous Optimization~: The State of the Art", series = "{NATO} {ASI} {Series} {C} -- {Mathematical} and Physical Sciences", volume = "434", publisher = "Kluwer Academic Publishers", year = "1988"} @book {S27, author = "{Schrijver, A.}", title = "Theory of Linear and Integer Programming", publisher = "John Wiley \& Sons", year = "1986"} @book {S28, author = "{Shapiro, J. F.}", title = "Mathematical Programming, Structures and Algorithms", publisher = "John Wiley \& Sons", year = "1979"} @book {S29, author = "{Stroud, A. H.}", title = "Numerical Quadrature and Solution of Ordinary Differential Equations", publisher = "Springer-Verlag", year = "1974"} @book {S30, author = "{Stroud, A. H.} and {Secrest, D.}", title = "{Gaussian} Quadrature Formulas", publisher = "Prentice-Hall", year = "1966"} @book {S31, author = "{Stroud, A. H.}", title = "Approximate Calculation of Multiple Integrals", publisher = "Prentice-Hall", year = "1972"} @book {S32, author = "{Shampine, L. F.} and {Gordon, M. K.}", title = "Computer Solution of Ordinary Differential Equations~: The Initial Value Problem", publisher = "Freeman \& Co.", year = "1975"} @book {S33, author = "{Shampine, L. F.} and {Allen, R.}", title = "Numerical Computing", address = "Saunders", publisher = "Philadelphia", year = "1973"} @article {S34, author = "{Shampine, L. F.} and {Watts, H. A.} and {Davenport, S. M.}", title = "Solving Non-Stiff Ordinary Differential Equations~: {The} State of the Art", journal = "SIAM Review", volume = "18", pages = "376--441", year = "1976"} @book {S35, author = "{Squire, W.}", title = "Integration for Engineers and Scientists", series = "Modern Analytic and Computational Methods in Science and Mathematics", note = "{Bellmann, R.}, ed.", publisher = "Elsevier Publishing Co.", year = "1970"} @book {S36, author = "{Steffensen, J. F.}", title = "Interpolation", edition = "$2^{nd}$", publisher = "Chelsea Publishing", note = "({First edition, 1927})", year = "1950"} @book {S37, author = "{Spiegel, M. R.}", title = "Mathematical Handbook of Formulas and Tables", publisher = "McGraw-Hill", year = "1968"} @book {S38, author = "{Salvadori, M. G.} and {Baron, M. L.}", title = "Numerical Methods in Engineering", publisher = "Prentice-Hall", year = "1961"} @book {S39, author = "{Scarborough, J. B.}", title = "Numerical Mathematical Analysis", edition = "$4^{th}$", publisher = "Johns Hopkins Press", year = "1958"} @book {S40, author = "{Strang, G. W.} and {Fix, G. J.}", title = "An Analysis of the Finite Element Method", publisher = "Prentice-Hall", year = "1973"} @book {S41, author = "{Smith, B. T.} and {Boyle, J. M.} and {Dongarra, J. J.} and {Garbow, B. S.} and {Ikebe, Y.} and {Klema, V. C.} and {Moler, C. B.}", title = "Matrix Eigensystem Routines~: {EISPACK} Guide", series = "Lecture Notes in Computer Science", volume = "6", publisher = "Springer-Verlag", year = "1976"} @book {S42, author = "{Stoer, J.} and {Bulirsch, R.}", title = "Introduction to Numerical Analysis", publisher = "Springer-Verlag", year = "1980"} @book {S43, author = "{Stark, P. A.}", title = "Introduction to Numerical Methods", publisher = "Macmillan", year = "1970"} @book {S44, author = "{Stiefel, E. L.}", title = "An Introduction to Numerical Mathematics", publisher = "Academic Press", year = "1963"} @article {S45, author = "{Saltz, J.}", title = "Aggregation Methods for Solving Sparse Triangular Systems on Multiprocessors", journal = "SIAM J. Sci. and Stat. Comput.", volume = "11", pages = "123--144", year = "1990"} @book {S46, author = "{Schreiber, T.}", title = "Simulation using {GPSS}", publisher = "John Wiley \& Sons", year = "1974"} @book {S47, author = "{Schultz, M.}", title = "Spline Analysis", publisher = "Prentice-Hall", year = "1973"} @book {S48, author = "{Sterbenz, P.}", title = "Floating Point Computation", publisher = "Prentice-Hall", year = "1974"} @article {S49, author = "{Shanno, D. F.}", title = "Computing {Karmarkar} Projections Quickly", journal = "Math. Programming", volume = "41", pages = "61--71", year = "1988"} @incollection {S50, author = "{Schnabel, R. B.}", title = "Sequential and Parallel Methods for Unconstrained Optimization", editor = "{Iri, M.} and {Tanabe, K.}", booktitle = "Mathematics and Its Applications", pages = "227--261", publisher = "Kluwer Academic Publishers", address = "Tokyo", year = "1989"} @article {S51, author = "{Schultz, G. L.} and {Meyer, R. R.}", title = "An Interior Point Method for Block Angular Optimization", journal = "SIAM J. Optimization", volume = "1", number = "4", pages = "583--602", year = "1991"} @misc {S52, author = "{SIAM}", title = "{Special Addendum} on {P}arallel {P}rocessing", howpublished = "{SIAM J. Sci. and Stat. Comput., 8(1):s1-s227}", year = "1987"} @misc {S53, author = "{SIAM}", title = "{Special Issue} on {Iterative Solution of Linear Systems}", howpublished = "{SIAM J. Sci. and Stat. Comput., 13(1)}", year = "1992"} @article {S54, author = "{Shanno, D. F.} and {Bagchi, A.}", title = "A Unified View of Interior Point Methods for Linear Programming", journal = "Annals of Oper. Res.", volume = "22", pages = "55--70", year = "1990"} @article {S55, author = "{Suhl, U. H.} and {Suhl, L. M.}", title = "Computing Sparse {LU} Factorizations for Large-Scale Linear Programming Bases", journal = "ORSA J. Computing", volume = "2", pages = "325--335", year = "1990"} @article {S56, author = "{Sato, N.} and {Tinney, W. F.}", title = "Techniques for Exploiting the Sparsity of the Network Admittance Matrix", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-82", number = "12", pages = "944--950", year = "1963"} @article {S57, author = "{Shipley, R. B.} and {Coleman, D.}", title = "A New Direct Matrix Inversion Method", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-78", number = "11", pages = "568--572", year = "1959"} @article {S58, author = "{Smith, O. J. M.} and others", title = "Sparse Solutions using Hash Storage", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-91", pages = "1396--1404", year = "1972"} @article {S59, author = "{Stott, B.} and {Hobson, E.}", title = " Solution of Large Power Systems Networks by Ordered Elimination", journal = "Proc. of the Institution of Electrical Engineers", volume = "118", number = "1", pages = "125--134", year = "1971"} @book {S60, author = "{Stagg, G. W.} and {El-Abaid, A. H.}", title = "Computer Methods in Power Systems Analysis", publisher = "McGraw-Hill", year = "1968"} @article {S61, author = "{Steward, D. V.}", title = "Partitioning and Tearing Systems of Equations", journal = "SIAM J. Numer. Anal.", volume = "2", pages = "345--365", year = "1965"} @article {S62, author = "{Schwarz, H. R.}", title = "Tridiagonalization of a Symmetric Band Matrix", journal = "Numer. Math.", volume = "12", pages = "231--241", year = "1968"} @article {S63, author = "{Stewart, G. W.}", title = "Simultaneous Iteration for Computing Invariant Subspaces of Non-{Hermitian} Matrices", journal = "Numer. Math.", volume = "25", pages = "123--136", year = "1976"} @misc {S64, author = "{Stroustrup, B.}", title = "The ${C}^{++}$ {P}rogramming {L}anguage", publisher = "Addison-Wesley"} @book {S65, author = "{Stroustrup, B.} and {Ellis, M.}", title = "The Annotated ${C}^{++}$ Reference Manual", publisher = "Addison-Wesley", year = "1990"} @book {S66, author = "{Sedgewick, R.}", title = "Algorithms in ${C}^{++}$", publisher = "Addison-Wesley", year = "1992"} @book {S67, author = "{Schneck, P. B.}", title = "Supercomputer Architecture", publisher = "Kluwer Academic Publishers", year = "1987"} @article {S68, author = "{Stott, B.} and {Alsa\c c, O.}", title = "Fast Decoupled Load-Flow", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-93", pages = "859--869", year = "1974"} @article {S69, author = "{Stewart, G. W.}", title = "On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems", journal = "SIAM Review", volume = "19", pages = "634--662", year = "1977"} @inproceedings {S70, author = "{Stott, B.} and {Alsa\c c, O.}", title = "An Overview of Sparse Matrix Techniques for On-Line Network Applications", booktitle = "Proc. {IFAC} Symposium on Power Systems and Power Plant Control", address = "Beijing, China", pages = "17--23", year = "1986"} @incollection {S71, author = "{Szwarficter, J. L.} and {Barroso, M.}", title = "Enumerating the Maximal Cliques of Circle Graphs", editor = "{Chung, R. F. K.} and {Graham, R. L.} and {Hsu, D. F.}", booktitle = "Graph Theory, Combinatorics, Algorithms and Applications", pages = "511--517", publisher = "SIAM Publications", year = "1991"} @book {S72, author = "{Schendel, U.}", title = "Introduction to Numerical Methods for Parallel Computers", publisher = "Ellis Horwood Limited", year = "1984"} @book {S73, author = "{Shor, N. Z.}", title = "Minimization Methods for Non-Differentiable Functions", publisher = "Springer-Verlag", year = "1985"} @article {S74, author = "{Stot, B.}", title = "Power System Dynamic Response Calculations", journal = "Proc. of the IEEE", volume = "67", pages = "219--241", year = "1979"} @phdthesis {S75, author = "{Schnabel, R. B.}", title = "Analyzing and Improving Quasi-{Newton} Methods for Unconstrained Optimization", school = "Cornell Computer Science Dept.", year = "1977"} @article {S76, author = "{Schittkowski, K.}", title = "On the Convergence of a Sequential Quadratic Programming Method with an Augmented {Lagrangian} Line Search Function", journal = "Mathematishe Operations Forschung und Statistik, Ser. Optimization", volume = "14", pages = "193--216", year = "1983"} @article {S77, author = "{Schittkowski, K.}", title = "The Nonlinear Programming Method of {Wilson}, {Han} and {Powell} with an Augmented {Lagrangian} type Line Search Function", journal = "Numer. Math.", volume = "38", pages = "83--114", year = "1981"} @book {S78, author = "{Schittkowski, K.}", title = "Nonlinear Programming Codes~: Information, Tests, Performance", volume = "183", series = "Lecture Notes in Economics and Mathematical Systems", publisher = "Springer-Verlag", year = "1980"} @techreport {S79, author = "{Schittkowski, K.}", title = "{NLPQL}~: {A} {FORTRAN} Subroutine Solving Constrained Nonlinear Programming Problems", type = "{Working Paper}", institution = "Univ. Stuttgart", year = "1984"} @article {S80, author = "{Shultz, G.} and {Schnabel, R.} and {Byrd, R.}", title = "A Family of Trust-Region-Based Algorithms for Unconstrained Minimization with Strong Global Convergence Properties", journal = "SIAM J. Numer. Anal.", volume = "22", pages = "47--67", year = "1985"} @phdthesis {S81, author = "{Sorensen, D. C.}", title = "Updating the Symmetric Indefinite Factorization with Applications in a Modified {Newton's} Method", school = "Univ. of California, San Diego", year = "1977"} @article {S82, author = "{Sorensen, D. C.}", title = "{Newton's} Method with a Model Trust Region Modification", journal = "SIAM J. Numer. Anal.", volume = "19", pages = "409--426", year = "1982"} @incollection {S83, author = "{Sorensen, D. C.}", title = "Trust Region Methods for Unconstrained Minimization", editor = "{Powell, M. J. D.}", booktitle = "Nonlinear Optimization 1981", publisher = "Academic Press", year = "1982"} @book {S84, author = "{Schrage, L.}", title = "Linear, Integer and Quadratic Programming with {LINDO}", publisher = "The Scientific Press", address = "Palo Alto", year = "1984"} @article {S85, author = "{Stotts, P. D. Jr.}", title = "A Comparative Survey of Concurrent Programming Languages", journal = "SIGPLAN Notices", volume = "17", number = "9", pages = "76--87", year = "1982"} @book {S86, author = "{Siegel, S.}", title = "Nonparametric Statistics for the Behavioral Sciences", publisher = "McGraw-Hill", year = "1956"} @misc {S87, author = "{SIAM}", title = "{Special Issue} dedicated to {Gene Golub} on the occasion of his $60^{th}$ birthday", howpublished = "{SIAM J. Matrix Anal. Appl., 13(1)}", year = "1992"} @misc {S88, author = "{SIAM}", title = "{Special Section} on {Sparse Matrices}", howpublished = "{SIAM J. Matrix Anal. Appl., 11(3)}", note = "From page 381. (Selection of works presented at {Symposium on Sparse Matrices, Salishan Resort, Gleneden Beach, Oregon, 1989}, promoted by {SIAM Activity Group on Linear Algebra}, chaired by {Lewis, J. G., Gilbert, J. R., Plemmons, R. J., Simon, H. D.})", year = "1990"} @article {S89, author = "{Sleator, D. D.} and {Tarjan, R. E.}", title = "A Data Structure for Dynamic Trees", journal = "J. Comput. System Sci.", volume = "24", note = "(Also published at {Proc. $13^{th}$ Annual ACM Symposium on Foundations of Computing, pages 114--122, 1981})", year = "1983"} @inproceedings {S90, author = "{Sleator, D. D.} and {Tarjan, R. E.}", title = "Self-Adjusting Binary Trees", booktitle = "Proc. $15^{th}$ Annual ACM Symposium on Foundations of Computing", pages = "235--245", year = "1983"} @book {S91, author = "{Standish, T. A.}", title = "Data Structure Techniques", publisher = "Addison-Wesley", year = "1980"} @book {S92, author = "{Swamy, M. N. S.} and {Thulasiraman, K.}", title = "Graphs, Networks, and Algorithms", publisher = "John Wiley \& Sons", year = "1981"} @article {S93, author = "{Solovay, R.} and {Strassen, V.}", title = "A Fast Monte-Carlo Test for Primality", journal = "SIAM J. Comput.", volume = "6", pages = "84--85", year = "1977"} @article {S94, author = "{Spira, P. M.} and {Pan, A.}", title = "On Finding and Updating Spanning Trees and Shortest Paths", journal = "SIAM J. Comput.", volume = "4", pages = "375--380", year = "1975"} @techreport {S95, author = "{Simon, H. D.}", title = "Bounds for the Dominant Eigenvector of a Graph", type = "{Tech. Report}", institution = "Dept. of Applied Mathematics, State Univ. of New York", address = "Stony Brook", year = "1982"} @article {S96, author = "{Smyth, W. F.}", title = "Algorithms for the Reduction of Matrix Bandwidth and Profile", journal = "J. Comp. Appl. Math.", volume = "12/13", pages = "551--561", year = "1985"} @article {S97, author = "{Straffin, P. D.}", title = "Linear Algebra in Geography~: {Eigenvector} Networks", journal = "Math. Mag.", volume = "53", pages = "269--276", year = "1980"} @article {S98, author = "{Shier, D. R.}", title = "Inverting Sparse Matrices by Tree Partitioning", journal = "J. Res. Nat. Bur. Standards", volume = "B-80", number = "2", year = "1976"} @incollection {S99, author = "{Smyth, W. F.} and {Benzi, W. M. L.}", title = "An Algorithm for Finding the Diameter of a Graph", booktitle = "{IFIP} Congress '74", pages = "500--503", publisher = "North-Holland", year = "1974"} @techreport {S100, author = "{Saunders, M. A.}", title = "Product Form of the {Cholesky} Factorization for Large-Scale Linear Programming", type = "{Tech. Report}", number = "STAN-CS-72-301", institution = "Computer Science Dept., Stanford Univ.", year = "1972"} @article {S101, author = "{Sherman, J.} and {Morrison, W. J.}", title = "Adjustment of an Inverse Matrix Corresponding to Changes in Elements of a Given Column or a Given Row of the Original Matrix", journal = "Ann. Math. Stat.", volume = "20", pages = "621", year = "1949"} @inproceedings {S102, author = "{Steward, D. V.}", title = "Tearing Analysis of the Structure of Disorderly Sparse Matrices", editor = "{Willoughby, R.}", booktitle = "Proc. of the Symposium on Sparse Matrices and their Applications", address = "Yorktown Heights", pages = "65--75", year = "1969"} @techreport {S103, author = "{Saad, Y.}", title = "Krylov Subspace Methods on Supercomputers", type = "{Tech. Report}", number = "19", institution = "RIACS, Moffet Field", year = "1988"} @techreport {S104, author = "{Simon, H. D.} and {Vu, P.} and {Yang, C.}", title = "Performance of a Supernodal General Sparse Solver on the {CRAY Y-MP}~: 1.68 {GigaFlops} with Autotasking", type = "{Tech. Report}", number = "SCA-TR-117", institution = "Boeing Computer Services", address = "Seattle, Washington", year = "1989"} @unpublished {S105, author = "{Sorensen, D. C.} and {Van Loan, C.}", title = "Block Factorizations for Symmetric Indefinite Matrices", note = "({Cornell Tech. Report} in preparation)"} @article {S106, author = "{Schreiber, R.} and {Van Loan, C. F.}", title = "A Storage Efficient {WY} Representation for Products of {Householder} Transformations", journal = "SIAM J. Sci. and Stat. Comput.", volume = "10", pages = "53--57", year = "1989"} @incollection {S107, author = "{Stewart, G. W.}", title = "A Bibliographical Tour of the Large Sparse Generalized Eigenvalue Problem", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", publisher = "Academic Press", year = "1976"} @book {S108, author = "{Stewart, G. 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Appl.", volume = "112", pages = "189--193", year = "1989"} @techreport {S114, author = "{Sites, R. L.}", title = "Instruction Ordering for the {CRAY-1} Computer", type = "{Tech. Report}", number = "78-CS-023", institution = "Dept. of Computer Science, Univ. California", address = "San Diego", year = "1979"} @article {S115, author = "{Smith, A. J.} and {Lee, J.}", title = "Branch Prediction Strategies and Branch Target Buffer Design", journal = "Computer", volume = "17", number = "1", pages = "6--22", year = "1984"} @inproceedings {S116, author = "{Smith, J. E.}", title = "A Study of Branch Prediction Strategies", booktitle = "Proc. $8^{th}$ Symposium on Computer Architecture", address = "Minneapolis", pages = "135--148", year = "1981"} @article {S117, author = "{Smith, J. E.}", title = "Decoupled Access/Execute Computer Architectures", journal = "ACM Trans. Computer Systems", volume = "2", number = "4", pages = "289--308", year = "1984"} @article {S118, author = "{Smith, J. 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V.}", title = "On an Approach to Techniques for the Analysis of the Structure of Large Systems of Equations", journal = "SIAM Review", volume = "4", pages = "321--342", year = "1962"} @incollection {S123, author = "{Saunders, M. A.}", title = "The Complexity of {LU} Updating in the Simplex Method", editor = "{Anderssen, R. S.} and {Brent, R. P.}", booktitle = "Complexity of Computational Problem Solving", publisher = "Queensland University Press", year = "1975"} @inbook {S124, author = "{Salomaa, A.}", title = "Theory of Automata", publisher = "Pergamon Press", pages = "120--123", year = "1969"} @techreport {S125, author = "{Sherman, A. H.}", title = "Subroutines for Envelope Solution of Sparse Linear Equations", type = "{Tech. Report}", number = "35", institution = "Dept. of Computer Science, Yale Univ.", year = "1974"} @incollection {S126, author = "{Saunders, M. A.}", title = "A Fast, Stable Implementation of the Simplex Method using {Bartels-Golub} Updating", editor = "{Bunch, J. 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Anal., 7(4)}", year = "1970"} @phdthesis {S131, author = "{Shekel, J.}", title = "Analysis of Linear Networks", school = "MIT", year = "1957"} @article {S132, author = "{Schwartz, E. S.}", title = "An Automatic Sequencing Procedure with Application to Parallel Processing", journal = "J. ACM", volume = "8", pages = "513--537", year = "1961"} @article {S133, author = "{Schwartz, J. T.}", title = "Large Parallel Computers", journal = "J. ACM", volume = "13", pages = "25--32", year = "1966"} @article {S134, author = "{Shedler, G. S.}", title = "Parallel Numerical Methods for Solution of Equations", journal = "Comm. ACM", volume = "10", pages = "286--290", year = "1967"} @article {S135, author = "{Shedler, G. S.} and {Lehman, M. M.}", title = "Evaluation of Redundancy in a Parallel Algorithm", journal = "IBM Systems Journal", volume = "6", pages = "142--149", year = "1967"} @article {S136, author = "{Spillers, W. R.}", title = "On Diakoptics~: {Tearing} and Arbitrary System", journal = "Quart. Appl. Math.", volume = "23", pages = "188--190", year = "1965"} @article {S137, author = "{Spillers, W. R.} and {Hickerson, N.}", title = "Optimal Elimination of Sparse Symmetric Systems as a Graph Problem", journal = "Quart. Appl. Math.", volume = "26", pages = "425--432", year = "1968"} @article {S138, author = "{Spillers, W. R.}", title = "Network Techniques Applied to Structures", journal = "Matrix Tensor Quart.", volume = "15", pages = "31--41", year = "1964"} @techreport {S139, author = "{Seodore, S.} and others", title = "{SCEPTRE}~: {An} Automated Digital Computer Program for Determining the Response of Electronic Systems to Transient Nuclear Radiation, volume {11}", type = "{Tech. Report}", number = "AFWL-TR-66-126", institution = "IBM Space Guidance Center", address = "Oswego, New York", year = "1966"} @article {S140, author = "{Sherman, J.} and {Morrison, W. J.}", title = "Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix", journal = "Ann. Math. Stat.", volume = "21", pages = "124--127", year = "1950"} @article {S141, author = "{Sangiovanni-Vicentelli, L.} and {Chen, K.} and {Chua, L. O.}", title = "An Efficient Heuristic Cluster Algorithm for Tearing Large-Scale Networks", journal = "IEEE Trans. Circuit and Systems", volume = "CAS-24", pages = "709--717", year = "1977"} @techreport {S142, author = "{Sherman, A. H.}", title = "{Y}ale {S}parse {M}atrix {P}ackage ({YSMP}) ``{User's Guide}''", type = "{Tech. Report}", number = "UCID-30114", institution = "Lawrence Livermore Laboratory", year = "1975"} @book {S143, author = "{Souriau, J. M.}", title = "Calcul Lin\'eaire", publisher = "", year = "1959"} @techreport {S144, author = "{Swarztrauber, P. N.} and {Sweet, R. A.}", title = "Efficient {FORTRAN} Subprograms for the Solution of Elliptic Partial Differential Equations", type = "{Tech. 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N.}", title = "Code Reorganization for Instruction Caches", type = "{Tech. Report}", number = "UCB-CSD-88-447", institution = "Univ. of California", address = "Berkeley", year = "1988"} @book {S172, author = "{Scott, N. R.}", title = "Computer Number Systems and Arithmetic", publisher = "Prentice-Hall", year = "1985"} @book {S173, author = "{Shurkin, J.}", title = "Engines of the Mind~: {A} History of the Computer", publisher = "W. W. Norton", address = "New York", year = "1984"} @inproceedings {S174, author = "{Sites, R. L.}", title = "How to use 1000 Registers", booktitle = "Caltech Conference on {VLSI}", year = "1979"} @article {S175, author = "{Smith, A. J.}", title = "Cache Memories", journal = "ACM Computing Surveys", volume = "14", number = "3", pages = "473--530", year = "1982"} @article {S176, author = "{Smith, A. J.}", title = "Bibliography and Readings on {CPU} Cache Memories and Related Topics", journal = "Computer Architecture News", month = "January", pages = "22--42", year = "1986"} @misc {S177, author = "{SPEC}", title = "Benchmark Suite Release 1.0", year = "1989"} @inproceedings {S178, author = "{Strecker, W. D.}", title = "Cache Memories for the {PDP-11}~?", booktitle = "Proc. $3^{rd}$ Annual Symposium on Computer Architecture", pages = "155--158", address = "Pittsburgh", year = "1976"} @inproceedings {S179, author = "{Strecker, W. D.}", title = "{VAX-11/780}~: {A} Virtual Address Extension to the {PDP-11} Family", booktitle = "Proc. {AFIPS} National Computer Conference, 47", pages = "967--980", year = "1978"} @article {S180, author = "{Stern, N.}", title = "Who Invented the First Electronic Digital Computer", journal = "Annals of the History of Computing", volume = "2", number = "4", pages = "375--376", year = "1980"} @book {S181, author = "{Stubbs, D. F.} and {Webre, N. 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ACM", volume = "17", number = "4", pages = "715--728", year = "1970"} % (T) ........................................................................ @techreport {T1, author = "{Terry, L. A.} and {Pereira, M. V. F.}", title = "Tratamento de Sistemas Lineares Esparsos", type = "{Relat\'orio Interno}", number = "{Projeto} 7167", institution = "Centro de Pesquisas em Energia El\'etrica (CEPEL)", address = "Rio de Janeiro", year = "1980"} @article {T2, author = "{Tinney, W. F.} and {Walker, J.}", title = "Direct Solution of Sparse Network Equations by Optimally Ordered Triangular Factorization", journal = "Proc. of the IEEE", volume = "55", pages = "1801--1809", year = "1967"} @inproceedings {T3, author = "{Tinney, W. F.}", title = "Comments on Using Sparsity Techniques for Power Systems Problems", editor = "{Willoughby, R. 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E.}", title = "Data Structures and Network Algorithms", publisher = "SIAM Publications", year = "1983"} @article {T9, author = "{Tarjan, R. E.}", title = "Amortized Computational Complexity", journal = "SIAM J. Alg. and Discr. Meth.", volume = "6", number = "2", pages = "306--318", year = "1985"} @article {T10, author = "{Tarjan, R. E.}", title = "A Class of Algorithms which Require Nonlinear Time to Maintain Disjoint Sets", journal = "J. of Computer and System Sciences", volume = "18", pages = "110--127", year = "1979"} @article {T11, author = "{Tarjan, R. E.}", title = "Efficiency of a Good But Not Linear Set Union Algorithm", journal = "J. ACM", volume = "22", number = "2", pages = "215--225", year = "1975"} @article {T12, author = "{Tarjan, R. E.}", title = "Deep-First Search and Linear Graph Algorithms", journal = "SIAM J. Computing", volume = "1", pages = "146--160", year = "1972"} @techreport {T13, author = "{Tarjan, R. E.}", title = "An Efficient Planarity Algorithm", type = "{Tech. Report}", number = "244", institution = "Computer Science Dept., Stanford Univ.", year = "1971"} @book {T14, author = "{Tanenbaum, A. S.}", title = "Structured Computer Organization", edition = "$3^{rd}$", publisher = "Prentice-Hall", year = "1991"} @book {T15, author = "{Traub, J. F.}", title = "Iterative Methods for the Solution of Equations", publisher = "Prentice-Hall", year = "1964"} @article {T16, author = "{Todd, M. J.}", title = "Theory and Practice for Interior Point Methods", journal = "ORSA J. Computing", volume = "6", number = "1", pages = "28--31", year = "1994"} @book {T17, author = "{Tuma, J. J.}", title = "Engineering Mathematics Handbook", publisher = "McGraw-Hill", year = "1979"} @book {T18, author = "{Tuma, J. J.}", title = "Technology Mathematics Handbook", publisher = "McGraw-Hill", year = "1975"} @book {T19, editor = "{Todd, J.}", title = "Survey of Numerical Analysis", publisher = "McGraw-Hill", year = "1962"} @article {T20, author = "{Tomlin, J. A.}", title = "An Experimental Approach to {Karmarkar's} Projective Method for Linear Programming", journal = "Math. Programming Study", volume = "31", pages = "175--191", year = "1987"} @techreport {T21, author = "{Tsuchiya T.} and {Muramatsu, M.}", title = "Global Convergence of the Long-Step Affine Scaling Algorithm for Degenerate Linear Programming Problems", type = "{Tech. Report}", number = "423", institution = "The Institute of Statistical Mathematics, Tokyo", year = "1992"} @article {T22, author = "{Tewarson, R. P.}", title = "Computation with Sparse Matrices", journal = "SIAM Review", volume = "12", number = "4", pages = "523--543", year = "1970"} @article {T23, author = "{Tinney, W. F.} and {Hart, C. E.}", title = "Power Flow Solution by {Newton's} Method", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-86", number = "11", pages = "1449--1460", year = "1967"} @inproceedings {T24, author = "{Tinney, W. F.}", title = "Some Examples of Sparse Matrix Methods for Power Network Problems", booktitle = "Power System Computation Conference", address = "Rome", year = "1969"} @techreport {T25, author = "{Tinney, W. F.} and {Powell, W. L.}", title = "Notes on the {Newton-Raphson} Method for Solution of {AC} Power Flow Problems", type = "({Internal Publication})", institution = "Bonneville Power Administration", address = "Portland, Oregon", year = "1971"} @article {T26, author = "{Tinney, W. F.} and {Brandwajn, V.} and {Chan, S. M.}", title = "Sparse Vector Methods", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-104", number = "2", pages = "295--301", year = "1985"} @article {T27, author = "{Toint, Ph. L.}", title = "On Sparse and Symmetric Matrix Updating Subject to a Linear Equation", journal = "Math. of Computation", volume = "31", pages = "954--961", year = "1977"} @article {T28, author = "{Toint, Ph. L.}", title = "Some Numerical Results Using a Sparse Matrix Updating Formula in Unconstrained Optimization", journal = "Math. of Computation", volume = "32", pages = "839--851", year = "1978"} @article {T29, author = "{Toint, Ph. L.}", title = "A Sparse Quasi-{Newton} Update Derived Variationally with a Non-Diagonally Weighted {Frobenius} Norm", journal = "Math. of Computation", volume = "37", pages = "425--434", year = "1981"} @incollection {T30, author = "{Toint, Ph. L.}", title = "Towards an Efficient Sparsity Exploiting {Newton} Method for Minimization", editor = "{Duff, I. S.}", booktitle = "Sparse Matrices and Their Uses", pages = "57--88", publisher = "Academic Press", year = "1981"} @article {T31, author = "{Tarjan, R. E.}", title = "Applications of Path Compression on Balanced Trees", journal = "J. ACM", volume = "26", pages = "690--715", year = "1979"} @article {T32, author = "{Tarjan, R. E.}", title = "Finding Dominators in Directed Graphs", journal = "SIAM J. Comput.", volume = "3", pages = "62--89", year = "1974"} @article {T33, author = "{Tarjan, R. E.}", title = "Finding Optimum Branchings", journal = "Networks", volume = "7", pages = "25--35", year = "1977"} @article {T34, author = "{Tarjan, R. E.}", title = "Complexity of Combinatorial Algorithms", journal = "SIAM Review", volume = "20", pages = "457--491", year = "1978"} @article {T35, author = "{Tarjan, R. E.}", title = "A Unified Approach to Path Problems", journal = "J. ACM", volume = "28", pages = "577--593", year = "1981"} @article {T36, author = "{Tarjan, R. E.}", title = "Sensitivity Analysis of Minimum Spanning Trees and Shortest Path Trees", journal = "Inform. Proc. Letters", volume = "14", pages = "30--33", year = "1982"} @misc {T37, author = "{Tarjan, R. E.}", title = "Updating a Balanced Search Tree in ${O}(1)$ Rotations", note = "(Published at {Inform. Proc. Letters})"} @misc {T38, author = "{Tarjan, R. E.} and {van Leeuwen, J.}", title = "Worst-Case Analysis of Set Union Algorithms", note = "(Published at {J. ACM})"} @inproceedings {T39, author = "{Tarjan, R. E.}", title = "Recent Developments in the Complexity of Combinatorial Algorithms", booktitle = "Proc. $5^{th}$ IBM Symposium on Mathematical Foundations of Computer Science", address = "Tokyo", pages = "1--28", year = "1980"} @article {T40, author = "{Tarjan, R. E.} and {Yannakakis, M.}", title = "Simple Linear-Time Algorithms to Test Chordality of Graphs, Test Acyclicity of Hipergraphs, and Selectively Reduce Acyclic Hypergraphs", journal = "SIAM J. Comput.", volume = "13", pages = "566--579", year = "1984"} @article {T41, author = "{Turing, A. M.}", title = "On Computable Numbers, with an Application to the {E}ntscheidungs Problem", journal = "Proc. London Math. Soc.", volume = "2", number = "42", pages = "230--265", note = "(Corrections on volume 2(43):544--546)", year = "1936"} @book {T42, editor = "{Traub, J. F.}", title = "Complexity of Sequential and Parallel Numerical Algorithms", publisher = "Academic Press", year = "1973"} @article {T43, author = "{Tewarson, R. P.}", title = "Row-Column Permutation of Sparse Matrices", journal = "Computing J.", volume = "10", pages = "300--305", year = "1967"} @incollection {T44, author = "{Tewarson, R. P.}", title = "Sorting and Ordering Sparse Linear Systems", editor = "{Reid, J. K.}", booktitle = "Large Sparse Sets of Linear Equations", pages = "151--168", publisher = "Academic Press", year = "1971"} @inproceedings {T45, author = "{Thorlin, J. F.}", title = "Code Generation for {PIE} (Parallel Instruction Execution) Computers", booktitle = "Proc. Spring Joint Computer Conference", address = "Atlantic City", year = "1967"} @inproceedings {T46, author = "{Thornton, J. E.}", title = "Parallel Operation in the {CONTROL DATA 6600}", booktitle = "Proc. Fall Joint Computer Conference", pages = "26, 33--40", year = "1964"} @book {T47, author = "{Thornton, J. E.}", title = "Design of a Computer~: {The} {CONTROL DATA 6600}", publisher = "Scott, Foresman, Glenview", address = "Illinois", year = "1970"} @article {T48, author = "{Tjaden, G. S.} and {Flynn, M. J.}", title = "Detection and Parallel Execution of Independent Instructions", journal = "IEEE Trans. Comput.", volume = "C-19", number = "10", pages = "889--895", year = "1970"} @article {T49, author = "{Tomasulo, R. M.}", title = "An Efficient Algorithm for Exploiting Multiple Arithmetic Units", journal = "IBM J. of Research and Development", volume = "11", number = "1", pages = "25--33", year = "1967"} @article {T50, author = "{Troiani, M.} and {Ching, S. S.} and {Quaynor, N. N.} and {Bloem, J. E.} and {Colon Osorio, F. C.}", title = "The {VAX 8600-I} Box~: {A} Pipelined Implementation of the {VAX} Architecture", journal = "Digital Technical Journal", volume = "1", pages = "4--19", year = "1985"} @article {T51, author = "{Tardos, E.}", title = "A Strongly Polynomial Algorithm to Solve Combinatorial Linear Programs", journal = "Operations Res.", volume = "35", pages = "250--256", year = "1986"} @techreport {T52, author = "{Tomlin, J. A.}", title = "Maintaining Sparse Inverse in the Simplex Method", type = "{Tech. Report}", number = "70-15", institution = "Operations Res. Dept., Stanford Univ.", year = "1970"} @article {T53, author = "{Tewarson, R. P.}", title = "On the Product Form of Inverses of Sparse Matrices", journal = "SIAM Review", volume = "8", pages = "336--342", year = "1966"} @article {T54, author = "{Tewarson, R. P.}", title = "The {Crout} Reduction for Sparse Matrices", journal = "Computing J.", volume = "12", pages = "158--159", year = "1969"} @article {T55, author = "{Tewarson, R. P.} and {Cheng, K. Y.}", title = "A Desirable Form for Sparse Matrices when Computing their Inverses in Factored Forms", journal = "Computing", volume = "9", year = "1972"} @article {T56, author = "{Tewarson, R. P.}", title = "On the Orthonormalization of Sparse Vectors", journal = "Computing", volume = "3", pages = "268--279", year = "1968"} @article {T57, author = "{Tewarson, R. P.}", title = "Solution of a System of Simultaneous Linear Equations with a Sparse Coefficient Matrix by Elimination Methods", journal = "BIT", volume = "7", pages = "226--239", year = "1967"} @techreport {T58, author = "{Tinney, W. F.} and {Ogbuobiri, E. C.}", title = "Sparsity Techniques~: {Theory} and Practice", type = "{Tech. Report}", institution = "Bonneville Power Administration", address = "Portland", year = "1970"} @incollection {T59, author = "{Tarjan, R. E.}", title = "Graph Theory and {Gaussian} Elimination", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", publisher = "Academic Press", year = "1976"} @article {T60, author = "{Tomlin, J. A.}", title = "Pivoting for Size and Sparsity in Linear Programming Inversion Routines", journal = "J. Inst. Math. Appl.", volume = "10", pages = "289--295", year = "1972"} @article {T61, author = "{Tomlin, J. A.}", title = "On Pricing and Backward Transformation in Linear Programming", journal = "Math. Programming", volume = "6", pages = "42--47", year = "1974"} @unpublished {T62, author = "{Tinney, W. F.}", title = "Optimal Ordering for Sparsely Coupled Subnetworks", note = "{Bonneville, Power Administration, P.O. Box 3621, Portland, Oregon 97208}", year = "1968"} @unpublished {T63, author = "{Tinney, W. F.}", title = "Notes on Network Solutions by Ordered Triangular Factorization", note = "{Bonneville, Power Administration, P.O. Box 3621, Portland, Oregon 97208}"} @article {T64, author = "{Tewarson, R. P.}", title = "On Computing Generalized Inverses", journal = "Computing", volume = "", year = "1968"} @article {T65, author = "{Thurnau, D.}", title = "Algorithm 195~: {BANDSOLVE}", journal = "Comm. ACM", volume = "6", pages = "441", year = "1963"} @article {T66, author = "{Turing, A. M.}", title = "Rounding-off Errors in Matrix Processes", journal = "Quart. J. Mech. Appl. Math.", volume = "1", pages = "287--308", year = "1948"} @proceedings {T67, editor = "{Tobey, R. G.}", title = "Proc. 1968 Summer Institute on Symbolic Mathematical Computation, IBM Boston Programming Center", address = "Cambridge, Massachusetts", year = "1968"} @article {T68, author = "{Tinney, W. F.}", title = "Compensation Methods for Network Solutions by Optimally Ordered Triangular Factorization", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-91", number = "1", pages = "123--127", year = "1972"} @unpublished {T70, author = "{Tinney, W. F.}", title = "Some Example of Sparse Matrix Methods for Power Network Problems", note = "(Presented at {Power Systems Computation Conference, Rome})", year = "1969"} @article {T71, author = "{Thorelli, L. E.}", title = "An Algorithm for Computing all Paths in a Graph", journal = "BIT", volume = "6", pages = "347--349", year = "1966"} @article {T72, author = "{Takagi, N.} and {Yasuura, H.} and {Yajima, S.}", title = "High Speed {VLSI} Multiplication Algorithm with a Redundant Binary Addition Tree", journal = "IEEE Trans. Comput.", volume = "C-34", number = "9", pages = "789--796", year = "1985"} @article {T73, author = "{Tanenbaum, A. S.}", title = "Implications of Structured Programming for Machine Architecture", journal = "Comm. ACM", volume = "21", number = "3", pages = "237--246", year = "1978"} @inproceedings {T74, author = "{Taylor, G. S.}", title = "Compatible Hardware for Division and Square Root", booktitle = "Proc. $5^{th}$ {IEEE} Symposium on Computer Arithmetic", pages = "127--134", year = "1981"} @inproceedings {T75, author = "{Taylor, G. S.}", title = "Radix 16 {SRT} Dividers with Overlapped Quotient Selection Stages", booktitle = "Proc. $7^{th}$ {IEEE} Symposium on Computer Arithmetic", pages = "64--71", year = "1985"} @article {T76, author = "{Treleaven, P. C.} and {Brownbridge, D. R.} and {Hopkins, R. P.}", title = "Data-Driven and Demand-Driven Computer Architectures", journal = "ACM Computing Surveys", volume = "14", number = "1", pages = "93--143", year = "1982"} @article {T77, author = "{Tucker, S. G.}", title = "Microprogram Control for the {System/360}", journal = "IBM Systems Journal", volume = "6", number = "4", pages = "222--241", year = "1967"} % (U) ........................................................................ @article {U1, author = "{Undrill, J. M.} and {Happ, H. H.}", title = "Automatic Sectionalization of Power System Networks for Networks Solution", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-90", number = "1", pages = "46--63", year = "1971"} @article {U2, author = "{Ullman, J. D.}", title = "Fast Algorithms for the Elimination of Subexpressions", journal = "Acta Informatica", volume = "2", pages = "191--213", year = "1973"} @phdthesis {U3, author = "{Underwood, R.}", title = "An Iterative Block {Lanczos} Method for the Solution of Large Sparse Symmetric Eigenproblems", school = "Computer Science Dept., Stanford Univ.", note = "({Report STAN-CS-75-496})", year = "1975"} @book {U4, author = "{Ullman, J. D.}", title = "Computational Aspects of {VLSI}", publisher = "Computer Science Press", address = "Rockville, MD", year = "1984"} % (V) ........................................................................ @inproceedings {V1, author = "{Veldhorst, M.}", title = "An Analysis of Sparse Matrix Storage Schemes", booktitle = "volume 150 of Mathematical Centre Tracts", address = "Amsterdam", year = "1982"} @article {V2, author = "{Villiers, E.} and {Wilson, L. B.}", title = "Hashing the Subscripts of a Sparse Matrix", journal = "BIT", volume = "14", pages = "347--358", year = "1974"} @proceedings {V3, editor = "{Vichnevetsky, R.} and {Stepleman}", title = "Proc. {AICA} International Symposium on Computer Methods for Partial Differential Equations, Bethlehem", publisher = "Prentice-Hall", year = "1975"} @proceedings {V4, editor = "{Vichnevetsky, R.}", title = "Advances in Computer Methods for Partial Differential Equations -- {III}", publisher = "Publ. IMACE", year = "1979"} @book {V5, author = "{Vignes, J.}", title = "Algorithmes Num\'eriques, Analyse et Mise en \OE uvre, tome {II}~: \'Equations et Syst\`emes Non Lin\'eaires", publisher = "\'Editions Technip", year = "1980"} @book {V6, author = "{Varga, R. S.}", title = "Matrix Iterative Analysis", publisher = "Prentice-Hall", year = "1962"} @book {V7, author = "{Veloso, P.} and {Azeredo, P.} and {Furtado, A. L.}", title = "Estruturas de Dados", publisher = "Editora Campus", year = "1983"} @article {V8, author = "{Vanderbei, R. J.}", title = "Interior Point Methods~: {Algorithms} and Formulations", journal = "ORSA J. Computing", volume = "6", number = "1", pages = "32--34", year = "1994"} @techreport {V9, author = "{Vaidya, P. M.}", title = "Speeding-Up Linear Programming Using Fast Matrix Multiplication", type = "{Tech. Report}", institution = "AT\&T BELL Labs.", address = "Murray Hill", year = "1989"} @book {V10, author = "{Vygodsky, M.}", title = "Mathematical Handbook~: Higher Mathematics", publisher = "Mir Publishers", year = "1975"} @book {V11, author = "{Van Loan, C.}", title = "Computational Frameworks for the Fast {Fourier} Transform", publisher = "SIAM Publications", year = "1992"} @inproceedings {V12, author = "{Vanderbei, R. J.}", title = "Dense Columns in Interior Point Methods", booktitle = "Proc. {IMACS}'91 World Congress on Computation and Applied Mathematics", address = "Dublin, Ireland", year = "1991"} @article {V13, author = "{Vanderbei, R. J.}", title = "Splitting Dense Columns in Sparse Linear Systems", journal = "Lin. Alg. Appl.", volume = "152", pages = "107--117", year = "1991"} @techreport {V14, author = "{Vanderbei, R. J.}", title = "{LOQO} ``{User's Manual}''", type = "{Tech. Report}", number = "SOR-92-5", institution = "School of Eng. and Applied Science, Dept. of Civil Eng. and Oper. Research, Princeton Univ.", year = "1992"} @techreport {V15, author = "{Vanderbei, R. J.}", title = "Symmetric Quasi-definite Matrices", type = "{Tech. Report}", number = "SOR-91-10", institution = "School of Eng. and Applied Science, Dept. of Civil Eng. and Oper. Research, Princeton Univ.", year = "1992"} @article {V16, author = "{Vanderbei, R. J.} and {Carpenter, T. J.}", title = "Symmetric Indefinite Systems for Interior Point Methods", journal = "Math. Programming", volume = "58", pages = "1--32", year = "1993"} @article {V17, author = "{van Ness, J. E.} and {Griffin, J. H.}", title = "Elimination Methods for Load-Flow Studies", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-80", number = "6", pages = "299--304", year = "1961"} @book {V18, author = "{Vandergraft, J. S.}", title = "Introduction to Numerical Computations", publisher = "Academic Press", year = "1978"} @article {V19, author = "{Vardi, A.}", title = "A Trust Region Algorithm for Equality Constrained Minimization~: {Convergence} Properties and Implementation", journal = "SIAM J. Numer. Anal.", volume = "22", number = "3", pages = "575--591", year = "1985"} @misc {V20, author = "{VAX}", title = "{FORTRAN} version 4.0 ``{User's Guide}'', {DEC}", year = "1984"} @article {V21, author = "{van der Vorst, H. A.}", title = "High Performance Preconditioning", journal = "SIAM J. Sci. and Stat. Comput.", volume = "10", pages = "1174--1185", year = "1989"} @book {V22, editor = "{Van Huffel, S.} and {Vandewalle, J.}", title = "The Total Least Squares Problem~: Computational Aspects and Analysis", publisher = "SIAM Publications", year = "1991"} @book {V23, author = "{Varga, R. S.}", title = "Scientific Computation on Mathematical Problems and Conjectures", publisher = "SIAM Publications", year = "1990"} @book {V24, author = "{Varga, R. S.}", title = "Functional Analysis and Approximation Theory in Numerical Analysis", publisher = "SIAM Publications", year = "1971"} @article {V25, author = "{van der Sluis, A.}", title = "Condition Numbers and Equilibration of Matrices", journal = "Numer. Math.", volume = "14", pages = "14--23", year = "1969"} @article {V26, author = "{van der Sluis, A.}", title = "Condition, Equilibration and Pivoting in Linear Algebraic Systems", journal = "Numer. Math.", volume = "15", pages = "74--86", year = "1970"} @incollection {V27, author = "{Varga, R. S.}", title = "Factorization and Normalized Iteration Methods", editor = "{Langer, R. E.}", booktitle = "Boundary Problems in Differential Equations, Proc. Mathematical Research Center", pages = "121--142", publisher = "University of Wisconsin Press", address = "Madison", year = "1959"} @book {V28, editor = "{von Rosenberg, D. V.}", title = "Methods for the Numerical Solution of Partial Differential Equations", publisher = "American Elsevier", address = "New York", year = "1969"} @inproceedings {V29, author = "{Vaidya, P. M.}", title = "An Algorithm for Linear Programming which Requires ${O}(((m+n)n^2+(m+n)^{1.5}n){L})$ Arithmetic Operations", booktitle = "Proc. $19^{th}$ {ACM} Symposium on Theory of Computing", pages = "29--38", year = "1987"} @book {V30, author = "{Villers, F. A.}", title = "Methoden der Praktischen Analysis", publisher = "Walter de Gruyter", year = "1957"} @article {V31, author = "{von Neumann, J.} and {Goldstine, H. H.}", title = "Numerical Inverting of Matrices of High Order", journal = "Bull. Amer. Math. Soc.", volume = "53", pages = "1021--1099", year = "1947"} @article {V32, author = "{Volgenant, T.} and {Jonker, R.}", title = "The Symmetric Travelling Salesman Problem and Edge Exchanges in Minimal 1-trees", journal = "European Journal of Operations Research", volume = "12", pages = "394--403", year = "1983"} @techreport {V33, author = "{Vavasis, S. A.}", title = "Stable Finite Elements for Problems with Wild Coefficients", type = "{Tech. Report}", number = "93-1364", institution = "Dept. of Computer Science, Cornell Univ.", note = "({To be published at SIAM J. Numerical Analysis})", year = "1993"} @inproceedings {V34, author = "{Vannelli, A.}", title = "A Parallel Implementation of an Interior Point Method for Linear Programming", booktitle = "Parallel Processing for Scientific Computing", pages = "163--167", publisher = "SIAM Publications", address = "Houston, Texas", year = "1991"} @incollection {V35, author = "{van Leeuwen, J.}", title = "Graph Algorithms", booktitle = "Handbook of Theoretical Computer Science -- A~: {Algorithms} and Complexity Theory", publisher = "North Holland", year = "1990"} % (W) ........................................................................ @proceedings {W1, editor = "{Willoughby, R. A.}", title = "Sparse Matrix Proceedings, Symposium on Sparse Matrices and Their Applications", note = "({Tech. Report} {RA-1-11707}, {Table of Cont.} {MR-39 No. 1106})", organization = "IBM Thomas J. Watson Research Center", address = "Yorktown Heights, New York", year = "1969"} @inproceedings {W2, author = "{Willoughby, R. A.}", title = "A Survey of Sparse Matrix Technology", note = "({IBM} {Tech. Report} {RC-3872})", booktitle = "Conference on Computer Oriented Analysis of Shell Structures, 1970", address = "Lockheed, Palo Alto", year = "1972"} @incollection {W3, author = "{Willoughby, R. A.}", title = "Sparse Matrix Algorithms and their Relation to Problem Classes and Computer Architecture", editor = "{Reid, J. K.}", booktitle = "Large Sparse Sets of Linear Equations", pages = "255--277", publisher = "Academic Press", year = "1971"} @book {W4, author = "{Wilkinson, J. H.}ÿand {Reinsch, C.}", title = "Handbook for Automatic Computation, volume {2}~: Linear Algebra", publisher = "Springer-Verlag", year = "1971"} @article {W5, author = "{Winograd, S.}", title = "A New Algorithm for Inner Product", journal = "IEEE Trans. Comput.", volume = "C-18", pages = "693--694", year = "1968"} @book {W6, author = "{Wirth, N.}", title = "Algorithms \& Data Structures", publisher = "Prentice-Hall", year = "1986"} @book {W7, author = "{Wirth, N.}", title = "Algorithms + Data Structures = Programs", publisher = "Prentice-Hall", year = "1976"} @article {W8, author = "{Wing, O.} and {Huang, J. W.}", title = "A Computation Model of Parallel Solution of Linear Equations", journal = "IEEE Trans. Comput.", volume = "C-29", pages = "632--638", year = "1980"} @article {W9, author = "{Wang, H. H.}", title = "A Parallel Method for Tridiagonal Equations", journal = "ACM Trans. Math. Software", volume = "7", pages = "170--183", year = "1981"} @book {W10, editor = "{Wouk, A.}", title = "New Computing Environments~: Parallel, Vector and Systolic", publisher = "SIAM Publications", year = "1986"} @book {W11, editor = "{Wouk, A.}", title = "New Computing Environments~: Microcomputers in Large-Scale Computing", publisher = "SIAM Publications", year = "1987"} @book {W12, author = "{Willner, E.} and {Demchak, B.}", title = "Advanced {UCSD} {PASCAL} Programming Techniques", publisher = "Prentice-Hall", year = "1985"} @book {W13, author = "{Wilkinson, J. H.}", title = "The Algebraic Eigenvalue Problem", address = "Oxford", publisher = "Clarendon Press", year = "1965"} @book {W14, author = "{Wilkinson, J. H.}", title = "Rounding Errors in Algebraic Processes", publisher = "Prentice-Hall", year = "1963"} @book {W15, author = "{Wendroff, B.}", title = "Theoretical Numerical Analysis", publisher = "Academic Press", year = "1966"} @book {W16, author = "{Wendroff, B.}", title = "First Principles of Numerical Analysis~: An Undergraduate Text", publisher = "Addison-Wesley", year = "1969"} @book {W17, author = "{Wilde, D. J.}", title = "Optimum Seeking Methods", publisher = "Prentice-Hall", year = "1964"} @book {W18, author = "{Westlake, J. R.}", title = "A Handbook of Numerical Matrix Inversion and Solution of Linear Equations", publisher = "John Wiley \& Sons", year = "1968"} @book {W19, author = "{Wolfram, S.}", title = "Mathematica~: A System for doing Mathematics by Computer", edition = "$2^{nd}$", publisher = "Addison-Wesley", year = "1991"} @article {W20, author = "{Watson, L. T.} and {Billups, S. C.} and {Morgan, A. P.}", title = "{HOMPACK}~: {A} Suite of Codes for Globally Convergent Homotopy Algorithms", journal = "ACM Trans. Math. Software", volume = "13", pages = "281--310", year = "1987"} @book {W21, author = "{Weaver, H. J.}", title = "Applications of Discrete and Continuous Fourier Analysis", publisher = "John Wiley \& Sons", year = "1983"} @book {W22, author = "{Whittaker, E.} and {Robinson, G.}", title = "The Calculus of Observations", publisher = "Blackie and Son", address = "London", year = "1924"} @article {W23, author = "{Wolfe, P.}", title = "The Composite Simplex Algorithm", journal = "SIAM Review", volume = "7", number = "1", pages = "42--54", year = "1965"} @incollection {W24, author = "{Wright, M. H.}", title = "Interior Methods for Constrained Optimization", editor = "{Iserles, A.}", booktitle = "Acta Numerica 1992", pages = "341--407", publisher = "Cambridge University Press", year = "1992"} @book {W25, author = "{Weinberg, L.}", title = "Network Analysis and Systems", publisher = "McGraw-Hill", year = "1962"} @incollection {W26, author = "{Wilson, E. L.}", title = "Solution of Sparse Stiffness Matrices for Structural Systems", editor = "{Duff, I. S.} and {Stewart, G. W.}", booktitle = "Sparse Matrix Proceedings 1978", publisher = "SIAM Publications", year = "1979"} @article {W27, author = "{Wilkinson, J. H.}", title = "Error Analysis of Direct Methods of Matrix Inversion", journal = "J. ACM", volume = "8", pages = "281--330", year = "1961"} @book {W28, author = "{Woof, C.} and {Hodgkinson, D.}", title = "{MuMath}~: A Microcomputer Algebra System", publisher = "Academic Press", year = "1987"} @phdthesis {W29, author = "{Wang, L.}", title = "Eigenvalue Analysis of Large Power Systems", school = "Univ. Toronto", year = "1991"} @article {W30, author = "{Wang, L.} and {Semlyen, A.}", title = "Application of Sparse Eigenvalue Techniques to the Small-Signal Stability Analysis of Power Systems", journal = "IEEE Trans. Power Systems", volume = "PWRS-5", pages = "635--642", year = "1990"} @misc {W31, author = "{Withers, G.}", title = "Parallel Programming on the {iPSC/860} System", howpublished = "Proc. $4^{th}$ {ISMM/IASTED} International Conference on Parallel and Distributed Computing and Systems, pages 341-343", year = "1991"} @article {W32, author = "{Wagner, R. E.}", title = "Indexing Design Considerations", journal = "IBM Systems Journal", volume = "4", pages = "351--367", year = "1973"} @article {W33, author = "{Wolfe, P.}", title = "Convergence Conditions for Ascent Methods", journal = "SIAM Review", volume = "11", pages = "226--235", year = "1969"} @article {W34, author = "{Wolfe, P.}", title = "Convergence Conditions for Ascent Methods -- {II}~: {Some} Corrections", journal = "SIAM Review", volume = "13", pages = "185--188", year = "1971"} @phdthesis {W35, author = "{Wilson, R. B.}", title = "A Simplicial Algorithm for Concave Programming", school = "Harvard University Graduate School of Economics", address = "Cambridge", year = "1963"} @techreport {W36, author = "{Wright, S.}", title = "Implementing Proximal Point Methods for Linear Programming", type = "{Tech. Report}", number = "ANL-MCS-P-45-0189", institution = "Argonne National Laboratory", address = "Argonne, Illinois", year = "1989"} @book {W37, author = "{Watson, G. A.}", title = "Numerical Analysis, Dundee 1977", volume = "630", series = "Lecture Notes in Mathematics", publisher = "Springer-Verlag", year = "1978"} @article {W38, author = "{van Wijngaarden, A.} and others", title = "Report on the Algorithmic Language {ALGOL} 68", journal = "Numer. Math.", volume = "14", pages = "79--218", year = "1969"} @book {W39, author = "{Weinberg, G.}", title = "The Psychology of Computer Programming", publisher = "Van Nostrand", year = "1971"} @misc {W40, author = "{Weissman, C.}", title = "Psychological Complexity of Computer Programs~: {An} Initial Experiment", note = "Computer Systems Research Group Technical Report, Univ. of Toronto", year = "1973"} @article {W41, author = "{Wirth, N.}", title = "A Computation Model of Parallel Solution of Linear Equations", journal = "IEEE Trans. Comput.", volume = "C-29", pages = "632--638", year = "1980"} @article {W42, author = "{Wirth, N.}", title = "An Assessment of the Programming Language {PASCAL}", journal = "IEEE Trans. Software Engineering", volume = "SE-1", number = "2", pages = "192--198", year = "1975"} @article {W43, author = "{Wirth, N.}", title = "The Design of a {PASCAL} Compiler", journal = "Software Practice and Experience", volume = "1", pages = "309--333", year = "1971"} @article {W44, author = "{Wirth, N.}", title = "{MODULA}~: {A} Language for Modular Multiprogramming", journal = "Software Practice and Experience", volume = "7", pages = "3--35", year = "1977"} @incollection {W45, author = "{Wirth, N.}", title = "On the Design of Programming Languages", editor = "{Rosenfeld, L.}", booktitle = "Information Processing 1974", publisher = "North-Holland", year = "1974"} @incollection {W46, author = "{Wirth, N.}", title = "From Programming Techniques to Programming Methods", editor = "{G{\"u}nter} and {Levrat} and {Lipps}", booktitle = "International Computing Symposium 1973", publisher = "North-Holland", year = "1974"} @incollection {W47, author = "{Wirth, N.}", title = "Programming Languages~: {What} to Demand and How to Assess Them", editor = "{Perrot, R. H.}", booktitle = "Software Engineering", publisher = "Academic Press", year = "1977"} @article {W48, author = "{Wirth, N.}", title = "Program Development by Stepwise Refinement", journal = "Comm. ACM", volume = "14", number = "4", pages = "221--227", year = "1971"} @article {W49, author = "{Wirth, N.}", title = "The Programming Language {PASCAL}", journal = "Acta Informatica", volume = "1", pages = "35--63", year = "1971"} @book {W50, author = "{Wirth, N.}", title = "Systematic Programming~: An Introduction", publisher = "Prentice-Hall", year = "1973"} @article {W51, author = "{Wirth, N.} and {Hoare, C. A. R.}", title = "A Contribution to the Development of {ALGOL}", journal = "Comm. ACM", volume = "9", number = "6", pages = "413--431", year = "1966"} @article {W52, author = "{Wagner, R. A.}", title = "A Shortest Path Algorithm for Edge-Sparse Graphs", journal = "J. ACM", volume = "23", pages = "50--57", year = "1976"} @article {W53, author = "{Wegman, M. N.} and {Carter, J. L.}", title = "New Hash Functions and Their Use in Authentication and Set Equality", journal = "J. Comput. System Sci.", volume = "22", pages = "265--279", year = "1981"} @article {W54, author = "{Williams, J. W. J.}", title = "Algorithm 232~: {HEAPSORT}", journal = "Comm. ACM", volume = "7", pages = "347--348", year = "1964"} @article {W55, author = "{Witzgall, C.} and {Zahn, C. T. Jr.}", title = "Modification of {Edmond's} Maximum Matching Algorithm", journal = "J. Res. Nat. Bur. Standards", volume = "B69", pages = "91--98", year = "1966"} @incollection {W56, author = "{Worley, P.} and {Schreiber, R.}", title = "Nested Dissection on a Mesh-Connected Processor Array", editor = "{Wouk, A.}", booktitle = "New Computing Environments~: {Parallel}, Vector and Systolic", publisher = "SIAM Publications", year = "1986"} @article {W57, author = "{Walker, H. F.}", title = "Implementation of the {GMRES} Method Using {Householder} Transformations", journal = "SIAM J. Sci. and Stat. Comput.", volume = "9", pages = "152--163", year = "1988"} @misc {W58, author = "{WATCOM}", title = "{FORTRAN} version 9.1 ``{User's Guide}''"} @misc {W59, author = "{WATCOM}", title = "${C}$ version 9.1 ``{User's Guide}''"} @article {W60, author = "{Ware, W.}", title = "The Ultimate Computer", journal = "IEEE Spectrum", pages = "89--91", year = "1973"} @techreport {W61, author = "{Wagner, R.}", title = "Parallel Solution of Arbitrarily Sparse Linear Systems", type = "{Tech. Report}", number = "CS-1984-13", institution = "Dept. of Computer Science, Duke Univ.", year = "1984"} @article {W62, author = "{Wagner, R.} and {Patrick, M.}", title = "A Sparse Matrix Algorithm on the {Boolean} Vector Machine", journal = "Parallel Computing", volume = "6", pages = "359--372", year = "1988"} @inproceedings {W63, author = "{Wing, O.} and {Huang, J.}", title = "A Parallel Triangulation Process of Sparse Matrices", booktitle = "Proc. 1977 International Conference on Parallel Processing", pages = "207--214", year = "1977"} @article {W64, author = "{Wing, O.}", title = "A Content Addressable Systolic Array for Sparse Matrix Computation", journal = "J. Par. and Dist. Comp.", volume = "2", pages = "170--181", year = "1985"} @proceedings {W65, editor = "{Waltz, D. L.}", title = "Neural and Artificial Parallel Computation, {Proc.} $5^{th}$ {NEC} Research Symposium", publisher = "SIAM Publications", year = "1995"} @book {W66, author = "{Wilf, H. S.}", title = "Combinatorial Algorithms~: An Update", publisher = "SIAM Publications", year = "1989"} @inproceedings {W67, author = "{Weiss, S.} and {Smith, J. E.}", title = "Instruction Issue Logic for Pipelined Supercomputers", booktitle = "Proc. $11^{th}$ Symposium on Computer Architecture", pages = "110--118", address = "Ann Arbor", year = "1984"} @inproceedings {W68, author = "{Weiss, S.} and {Smith, J. E.}", title = "A Study of Scalar Compilation Techniques for Pipelined Supercomputers", booktitle = "Proc. $2^{nd}$ Conference on Architectural Support for Programming Languages and Operating Systems", pages = "105--109", organization = "IEEE/ACM", address = "Palo Alto", year = "1987"} @article {W69, author = "{Warshall, S.}", title = "A Theorem on {Boolean} Matrices", journal = "J. ACM", volume = "9", pages = "11--12", year = "1962"} @book {W70, author = "{Weaver, W. Jr.}", title = "Computer Programs for Structural Analysis", publisher = "Van Nostrand-Reinhold", address = "Princeton, New Jersey", year = "1967"} @inproceedings {W71, author = "{Wolfe, P.}", title = "Trends in Linear Programming Computations", editor = "{Willoughby, R. A.}", booktitle = "Sparse Matrix Proceedings, Symposium on Sparse Matrices and Their Applications", pages = "107--112", organization = "IBM Thomas J. Watson Research Center", address = "Yorktown Heights, New York", year = "1969"} @incollection {W72, author = "{Wolfe, P.} and {Cutler, L.}", title = "Experiments in Linear Programming", editor = "{Graves, R. L.} and {Wolfe, P.}", booktitle = "Recent Advances in Mathematical Programming", year = "1963"} @incollection {W73, author = "{Woo, P. T.} and {Eisenstat, S. C.} and {Schultz, M. H.}ÿand {Sherman, A. H.}", title = "Application of Sparse Matrix Techniques to Reservoir Simulation", editor = "{Bunch, J. R.} and {Rose, D. J.}", booktitle = "Sparse Matrix Computations", publisher = "Academic Press", year = "1976"} @inproceedings {W74, author = "{Willoughby, R. A.}", title = "Some Numerical Analysis Aspects of Computational Circuit Design", booktitle = "Proc. Cornell Conference on Computerized Electronics", organization = "Cornell Univ.", pages = "24--35", address = "Ithaca", year = "1969"} @article {W75, author = "{Willoughby, R. A.}", title = "A Matrix Reducibility Algorithm", journal = "Math. of Computation", volume = "", year = "1972"} @article {W76, author = "{Winograd, S.}", title = "On the Number of Multiplications Required to Compute Certain Functions", journal = "Comm. Pure and Appl. Math.", volume = "23", pages = "165--179", year = "1970"} @article {W77, author = "{Wilkes, M. V.}", title = "The Growth of Interest in Microprogramming~: {A} Literature Survey", journal = "ACM Computing Surveys", volume = "1", pages = "139--145", year = "1969"} @book {W78, author = "{Wilkes, M. V.}", title = "Time-Sharing Computing Systems", publisher = "Elsevier", address = "New York", year = "1969"} @article {W79, author = "{Wilkinson, J. H.}", title = "A Survey of Error Analysis of Matrix Algorithms", journal = "Appl. Math.", volume = "13", pages = "93--102", year = "1968"} @article {W80, author = "{Wilf, H. S.}", title = "Matrix Inversion by the Annihilation of Rank", journal = "SIAM J. Appl. Math.", volume = "7", pages = "149--151", year = "1959"} @article {W81, author = "{Wilson, L. B.}", title = "Solution of Certain Large Sets of Equations on {PEGASUS} Using Matrix Methods", journal = "Computing J.", volume = "2", pages = "130--133", year = "1959"} @unpublished {W82, author = "{Walker, J. W.}", title = "Renumbering Subroutine~: {Complete} Documentation of Program for Near-Optimal Ordering", note = "{Bonneville, Power Administration, P.O. Box 3621, Portland, Oregon 97208}", year = "1967"} @book {W83, author = "{Wachspress, E. L.}", title = "Iterative Solution of Elliptic Systems and Applications to the Neutron Diffusion Equations of Reactor Physics", publisher = "Prentice-Hall", year = "1966"} @article {W84, author = "{Widlund, O. B.}", title = "On the Rate of Convergence of an Alternating Direction Implicit Method in a Non-Commutative Case", journal = "Math. of Computation", volume = "20", pages = "500--515", year = "1966"} @article {W85, author = "{Wilkinson, J. H.}", title = "The Evaluation of Ill-Conditioned Polynomials -- {I}, {II}", journal = "Numer. Math.", volume = "1", pages = "150--180", year = "1959"} @article {W86, author = "{Wilkinson, J. H.}", title = "Instability of the Elimination Method of Reducing a Matrix to Tridiagonal Form", journal = "Computing J.", volume = "5", pages = "61--70", year = "1962"} @incollection {W87, author = "{Wilkinson, J. H.}", title = "The Solution of Ill-conditioned Linear Equations", editor = "{Ralston, A.} and {Wilf, H. S.}", booktitle = "Mathematical Methods for Digital Computers, volume {2}", pages = "65--93", publisher = "John Wiley \& Sons", year = "1967"} @inproceedings {W88, author = "{Willoughby, R. A.}", title = "Some Pivot Considerations in Direct Methods for Sparse Matrices", booktitle = "Proc. Mexico 1971 International {IEEE} Conference on Systems, Networks and Computers", year = "1971"} @article {W89, author = "{Waite, W. M.}", title = "Path Detection in Multidimensional Iterative Arrays", journal = "J. ACM", volume = "14", pages = "300--310", year = "1967"} @article {W90, author = "{Ward, J. B.} and {Hale, H. W.}", title = "Digital Computer Solution of Power Flow Problems", journal = "IEEE Trans. Power Apparatus and Systems", volume = "PAS-75", number = "3", pages = "398--404", year = "1956"} @article {W91, author = "{Windley, P. F.}", title = "Transposing Matrices in a Digital Computer", journal = "Computing J.", volume = "2", pages = "47--48", year = "1959"} @phdthesis {W92, author = "{Whitten, G. F.}", title = "Structurally Recursive Algorithms", school = "Committee on Applied Mathematics, Harvard Univ.", year = "1978"} @techreport {W93, author = "{Willoughby, R. A.}", title = "A Characterization of Matrix Irreducibility via Triangular Factorization", type = "{Tech. Report}", number = "RC-3931", institution = "IBM Thomas J. Watson Research Center", address = "Yorktown Heights, New York", year = "1972"} @techreport {W94, author = "{Woodbury, M.}", title = "Inverting Modified Matrices", type = "{Memo. Report}", number = "42", institution = "Statistical Research Group, Princeton Univ.", year = "1950"} @article {W95, author = "{Wilson, E. L.} and {Bathe, K. L.} and {Doherty, W. P.}", title = "Direct Solution of Large Systems of Linear Equations", journal = "Computers and Structures", volume = "4", pages = "363--372", year = "1974"} @techreport {W96, author = "{Willoughby, R. A.}", title = "The Inverse {M-Matrix} Problem", type = "{Tech. Report}", number = "RC-5441", institution = "IBM Thomas J. Watson Research Center", address = "Yorktown Heights, New York", year = "1975"} @inproceedings {W97, author = "{Woo, P. T.} and {Roberts, S. J.} and {Gustavson, F. G.}", title = "Application of Sparse Matrix Techniques in Reservoir Simulation", booktitle = "Proc. $48^{th}$ Annual Fall Meeting Soc. Petroleum Eng., {AIME}", address = "Las Vegas", note = "(Paper {SPE-4544})", year = "1973"} @book {W98, author = "{Wakerly, J.}", title = "Microcomputer Architecture and Programming", publisher = "John Wiley \& Sons", year = "1989"} @article {W99, author = "{Watanabe, T.}", title = "Architecture and Performance of the {NEC} Supercomputer {SX} System", journal = "Parallel Computing", volume = "5", pages = "247--255", year = "1987"} @manual {W100, author = "{Waters, F.}", title = "{IBM} {RT} Personal Computer Technology", organization = "IBM", address = "Austin, Texas", year = "1986"} @article {W101, author = "{Weicker, R. P.}", title = "{DHRYSTONE}~: {A} Synthetic Systems Programming Benchmark", journal = "Comm. ACM", volume = "27", number = "10", pages = "1013--1030", year = "1984"} @inproceedings {W102, author = "{Whitby-Strevens, C.}", title = "The {TRANSPUTER}", booktitle = "Proc. $12^{th}$ International Symposium on Computer Architecture", pages = "292--300", address = "Boston", year = "1985"} @book {W103, author = "{Wichmann, B. A.}", title = "{ALGOL 60} Compilation and Assessment", publisher = "Academic Press", year = "1973"} @inproceedings {W104, author = "{Wiecek, C.}", title = "A Case Study of the {VAX 11} Instruction Set Usage for Compiler Execution", booktitle = "Proc. Symposium on Architectural Support for Programming Languages and Operating Systems", organization = "IEEE/ACM", pages = "174--184", address = "Palo Alto", year = "1982"} @article {W105, author = "{Wulf, W.}", title = "Compilers and Computer Architecture", journal = "Computer", volume = "14", number = "7", pages = "41--47", year = "1981"} @article {W106, author = "{Wilkes, M. V.}", title = "Slave Memories and Dynamic Storage Allocation", journal = "IEEE Trans. Electronic Computers", volume = "EC-14", number = "2", pages = "270--271", year = "1965"} @inproceedings {W107, author = "{Wilkes, M. V.}", title = "The Best Way to Design an Automatic Calculating Machine", booktitle = "Manchester University Computer Inaugural Conference, London, 1951", note = "(Republished at {The Genesis of Microprogramming, Annals of the History of Computing, 8:116)}", year = "1953"} @book {W108, author = "{Wilkes, M. V.}", title = "Memoirs of a Computer Pioneer", publisher = "MIT Press", year = "1985"} @inproceedings {W109, author = "{Wilkes, M. V.} and {Stringer, J. B.}", title = "Microprogramming and the Design of the Control Circuits in an Electronic Digital Computer", booktitle = "Proc. Cambridge Philosophical Society, volume 49", pages = "230--238", note = "(Republished at {Siewiorek, D. P. and Bell, C. G. and Newell, A., Computer Structures~: Principles and Examples, pages 158--163, McGraw-Hill, 1982} and in {The Genesis of Microprogramming, Annals of the History of Computing, 8:116)}", year = "1953"} @misc {W110, author = "{Wilkes, M. V.} and {Renwick, W.}", title = "Report of a Conference on High Speed Automatic Calculating Machines", address = "Cambridge, England", year = "1949"} @book {W111, author = "{Wilkes, M. V.} and {Wheeler, D. J.} and {Gill, S.}", title = "The Preparation of Programs for an Electronic Digital Computer", publisher = "Addison-Wesley", year = "1951"} @inproceedings {W112, author = "{Williams, T. E.} and {Horowitz, M.} and {Alverson, R. L.} and {Yang, T. S.}", title = "A Self-Timed Chip for Division", booktitle = "Proc. 1987 {Stanford} Conference on Advanced Research in {VLSI}", publisher = "MIT Press", year = "1987"} @inproceedings {W113, author = "{Wilson, A. W. Jr.}", title = "Hierarchical Cache/Bus Architecture for Shared Memory Multiprocessors", booktitle = "Proc. $14^{th}$ International Symposium on Computer Architecture", pages = "244--252", address = "Pittsburgh", year = "1987"} @book {W114, author = "{Winograd, S.}", title = "Arithmetic Complexity of Computations", publisher = "SIAM Publications", year = "1980"} @article {W115, author = "{Wolfe, M. J.}", title = "Loop Skewing~: {The} Wavefront Method Revised", journal = "J. of Parallel Programming", year = "1986"} @phdthesis {W116, author = "{Wang, L.}", title = "Spectral Nested Dissection", school = "Dept. of Computer Science and Engineering, The Pennsylvania State Univ.", year = "1994"} % (X) ........................................................................ % (Y) ........................................................................ @article {Y1, author = "{Yannakakis, M.}", title = "Computing the Minimum Fill-In is {NP-Complete}", journal = "SIAM J. Alg. and Discr. Meth.", volume = "2", number = "1", pages = "77--79", year = "1981"} @techreport {Y2, author = "{Yu, D. C.} and {Chen, S. T.} and {Alvarado, F. L.}", title = "An Interactive Graphic Interface to Illustrate Sparse Matrix/Vector Methods", type = "{Paper}", number = "90-WM-072-9-PWRS", institution = "Univ. of Wisconsin", address = "Madison", note = "(Presented at {IEEE} {Winter Power Meeting})", year = "1990"} @book {Y3, author = "{Young, D. M.}", title = "Iterative Solution of Large Linear Systems", publisher = "Academic Press", year = "1971"} @article {Y4, author = "{Young, D. M.}", title = "A Survey of Modern Numerical Analysis", journal = "SIAM Review", volume = "15", number = "2", year = "1973"} @book {Y5, author = "{Young, D. M.} and {Gregory, R. T.}", title = "A Survey of Numerical Mathematics, volume {1}", publisher = "Addison-Wesley", year = "1972"} @techreport {Y6, author = "{Yang, E.} and {Tolle, J.}", title = "A Class of Methods for Solving Large Convex Quadratic Programs Subject to Box Constraints", type = "{Preprint}", institution = "Dept. of Operations Research, University of North Carolina", address = "Chapel Hill, North Carolina", year = "1988"} @techreport {Y7, author = "{Yuan, Y.}", title = "On a Subproblem of Trust Region Algorithms for Constrained Optimization", type = "{Tech. Report}", number = "DAMTP-1986-NA-10", institution = "Dept. of Applied Mathematics and Theoretical Physics, Univ. of Cambridge", address = "England", year = "1987"} @techreport {Y8, author = "{Yuan, Y.}", title = "A Dual Algorithm for Minimizing a Quadratic Function with Two Quadratic Constraints", type = "{Tech. Report}", number = "DAMTP-1988-NA-3", institution = "Dept. of Applied Mathematics and Theoretical Physics, Univ. of Cambridge", address = "England", year = "1988"} @article {Y9, author = "{Ye, Y.}", title = "{Karmarkar's} Algorithm and the Ellipsoid Method", journal = "Operations Res. Letters", volume = "4", pages = "177--182", year = "1987"} @techreport {Y10, author = "{Yang, C.} and {Vu, P.}", title = "A Vector/Parallel Implementation of the Multifrontal Method for Sparse Symmetric Definite Linear Systems on the {CRAY Y-MP}", type = "{Tech. Report}", institution = "CRAY Research", year = "1990"} @article {Y11, author = "{Young, D. M.}", title = "Iterative Methods for Solving Partial Difference Equations of Elliptic Type", journal = "Trans. Amer. Math. Soc.", volume = "76", pages = "92--111", year = "1954"} @article {Y12, author = "{Yaspan, A.}", title = "On Finding a Maximal Assignment", journal = "Operations Res.", volume = "14", pages = "646--651", year = "1966"} % (Z) ........................................................................ @book {Z1, author = "{Zlatev, Z.}", title = "Computational Methods for General Sparse Matrices", publisher = "Kluwer Academic Publishers", year = "1991"} @book {Z2, author = "{Zlatev, Z.} and {Wasniewski, J.} and {Schaumburg, K.}", title = "{Y12M}~: {Solution} of Large and Sparse Systems of Linear Algebraic Equations, Documentation of Subroutines", series = "Lecture Notes in Computer Science", volume = "121", publisher = "Springer-Verlag", year = "1981"} @techreport {Z3, author = "{Zlatev, Z.} and {Barker, V. A.}ÿand {Thomsen, P. G.}", title = "{SSLEST}~: {A} {FORTRAN} {IV} Subroutine for Solving Sparse Systems of Linear Equations, ``{User's Guide}''", type = "{Tech. Report}", number = "NI-78-01", institution = "Numerisk Institut", address = "Lyngby, Denmark", year = "1978"} @techreport {Z4, author = "{Zmijewski, E.} and {Gilbert, J. R.}", title = "A Parallel Algorithm for Large Sparse {Cholesky} Factorization on a Multiprocessor", type = "{Tech. Report}", number = "TR-86-733", institution = "Dept. of Computer Science, Cornell Univ.", address = "Ithaca", year = "1986"} @article {Z5, author = "{Zenios, S. A.} and {Mulvey, J. M.}", title = "Vectorization and Multitasking of Nonlinear Network Programming Algorithms", journal = "Math. Programming", volume = "42", pages = "449--470", year = "1988"} @article {Z6, author = "{Zenios, S. A.}", title = "Parallel Computing~: {The} Introduction of Novel Computer Architectures Greatly Alters Technical Landscape", journal = "OR/MS Today", pages = "44--49", month = "August", year = "1992"} @article {Z7, author = "{Zhang, G.} and {Elman, H. C.}", title = "Parallel Sparse {Cholesky} Factorization on a Shared Memory Multiprocessor", journal = "Parallel Computing", volume = "18", pages = "1009--1022", year = "1992"} @inproceedings {Z8, author = "{Zhou, Y. F.}", title = "Optimal Parallel Triangulation of a Sparse Matrix~: {A} Graphical Approach", booktitle = "{IEEE} 1981 Symposium on Circuits and Systems", year = "1981"} @phdthesis {Z9, author = "{Zmijewski, E.}", title = "Sparse {Cholesky} Factorization on a Multiprocessor", school = "Dept. of Computer Science, Cornell Univ.", note = "({Report 87-856})", year = "1987"} @article {Z10, author = "{Zmijewski, E.} and {Gilbert, J. R.}", title = "A Parallel Algorithm for Sparse Symbolic {Cholesky} Factorization on a Multiprocessor", journal = "Parallel Computing", volume = "7", pages = "199--210", year = "1988"} @techreport {Z11, author = "{Zenios, S. A.} and {Pinar, M. \c C.}", title = "Parallel Block-Partitioning of Truncated {Newton} Methods for Nonlinear Network Optimization", type = "{Tech. Report}", number = "89-09-08", institution = "Decision Sciences Dept., The Wharton School, Univ. of Pennsylvania", year = "1989"} @article {Z12, author = "{Zenios, S. A.}", title = "On Fine-Grain Decomposition of Multicommodity Transportation Problems", journal = "SIAM J. Optimization", volume = "1", number = "4", pages = "643--669", year = "1991"} @article {Z13, author = "{Zhang, Y.} and {Tapia, R. A.} and {Dennis, J. E. Jr.}", title = "On the Superlinear and Quadratic Convergence of Primal-Dual Interior Point Linear Programming Algorithms", journal = "SIAM J. Optimization", volume = "2", pages = "304--324", year = "1992"} @techreport {Z14, author = "{Zlatev, Z.} and {Thomsen, P. G.}", title = "{ST}~: {A} {FORTRAN} {IV} Subroutine for the Solution of Large Systems of Linear Algebraic Equations with Real Coefficients by use of Sparse Technique", type = "{Tech. Report}", number = "76-05", institution = "Institute of Numerical Analysis, Technical Univ. of Denmark", year = "1976"} @inproceedings {Z15, author = "{Zisman, A.} and {Setzer, V. W.}", title = "Um Novo Algoritmo de Concorr\^encia para Acesso e Compacta\c c\~ao de \'Arvores-{B}", booktitle = "Anais do V Simp\'osio Brasileiro de Arquitetura de Computadores e Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de Computa\c c\~ao", pages = "614--630", year = "1993"} @mastersthesis {Z16, author = "{Zisman, A.}", title = "A \'Arvore-{B} e uma Proposta de Implementa\c c\~ao", school = "Instituto de Matem\'atica e Estat\'\i stica, USP", year = "1993"} @book {Z17, author = "{Zangwill, W. I.}", title = "Nonlinear Programming", publisher = "Prentice-Hall", year = "1969"} @techreport {Z18, author = "{Zhang, Y.}", title = "Computing a {Celis-Dennis-Tapia} Trust Region Step for Equality Constrained Optimization", type = "{Tech. Report}", number = "TR-88-16", institution = "Dept. of Mathematical Sciences, Rice Univ.", address = "Houston, Texas", year = "1988"} @techreport {Z19, author = "{Zmijewski, E.}", title = "Limiting Communication in Parallel Sparse {Cholesky} Factorization", type = "{Tech. Report}", number = "TRCS-89-18", institution = "Dept. of Computer Science, Univ. of California, Santa Barbara", year = "1989"} @book {Z20, author = "{Zienkiewicz, O. C.}", title = "The Finite Element Method", publisher = "McGraw-Hill", year = "1977"} @book {Z21, author = "{Zienkiewicz, O. C.}", title = "The Finite Element Method in Structural and Continuum Mechanics", publisher = "McGraw-Hill", year = "1967"} @article {Z22, author = "{Zlatev, Z.}", title = "Comparison of Two Pivotal Strategies in Sparse Plane Rotations", journal = "Comput. Math. Appl.", volume = "8", pages = "119--135", year = "1982"} @techreport {Z23, author = "{Zlatev, Z.} and {Nielsen, H.}", title = "{LLSS01}~: {A} {FORTRAN} Subroutine for Solving Least Squares Problems, ``{User's Guide}''", type = "{Tech. Report}", number = "79-07", institution = "Institute of Numerical Analysis, Technical Univ. of Denmark, Lyngby", year = "1979"} @article {Z24, author = "{Zielke, G.}", title = "Adjustment of the Inverse of a Symmetric Matrix when Two Symmetric Elements are Changed", journal = "Comm. ACM", volume = "11", pages = "118", year = "1968"} @article {Z25, author = "{Zielke, G.}", title = "Inversion of Modified Symmetric Matrices", journal = "J. ACM", volume = "15", pages = "402--408", year = "1968"} @article {Z26, author = "{Zielke, G.}", title = "Variation of the Inverse of a Symmetric Matrix under Symmetric Variation of Rows and Columns", journal = "Computing", volume = "3", pages = "76--77", year = "1968"} @book {Z27, author = "{Zurm{\"u}hl, R.}", title = "Praktische Mathematik", publisher = "Springer-Verlag", year = "1957"} @book {Z28, author = "{Zurm{\"u}hl, R.}", title = "Matrizen", publisher = "Springer-Verlag", year = "1958"} @article {Z29, author = "{Zenios, S. A.} and {Mulvey, J. M.}", title = "Relaxation Techniques for Strictly Convex Network Problems", journal = "Annals of Oper. Res.", volume = "", year = "1986"} @inproceedings {Z30, author = "{Zitney, S. E.} and {Stadtherr, M. A.}", title = "A Frontal Algorithm for Equation-based Chemical Process Flowsheeting on Vector and Parallel Computers", booktitle = "American Inst. of Chemical Eng. ({AIChE}) Annual Meeting", address = "Washington", year = "1988"} @inproceedings {Z31, author = "{Zitney, S. E.}", title = "A Frontal Code for Aspen Plus on Advanced Architecture Computers", booktitle = "American Inst. of Chemical Eng. ({AIChE}) Symposium on Parallel Computing", year = "1990"} @article {Z32, author = "{Zitney, S. E.} and {Mallya, J.} and {Davis, T. A.} and {Stadtherr, M. A.}", title = "Multifrontal vs. Frontal Techniques for Chemical Process Simulation on Supercomputers", journal = "Comput. Chem. Eng.", note = "({To be published})", year = "1995"} @article {Z33, author = "{Zitney, S. E.} and {Stadtherr, M. A.}", title = "Supercomputing Strategies for the Design and Analysis of Complex Separation Systems", journal = "Ind. Eng. Chem. Res.", volume = "32", pages = "604--612", year = "1993"} @article {Z34, author = "{Zlatev, Z.}", title = "On Some Pivotal Strategies in {Gaussian} Elimination by Sparse Technique", journal = "SIAM J. Numer. Anal.", volume = "17", pages = "18--30", year = "1980"}