% ----------------------------------------------------------------------------
%
%                       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
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 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})",
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@inproceedings {A86,
 author  = "{Allen, R. H.}",
 title   = "Fast Computer Aided Analysis of Nonlinear Electronic Circuits",
 booktitle = "Proc. Cornell Conference on Computerized Electronics",
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 pages   = "326--345",
 address = "Ithaca",
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@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,
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@book {A89,
 editor  = "{Ames, W. F.}",
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 year    = "1965"}

@book {A90,
 editor  = "{Argyris, J. H.}",
 title   = "Recent Advances in Matrix Methods of Structural Analysis",
 publisher = "Macmillan",
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@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",
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@article {A93,
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 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",
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@article {A99,
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 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.}",
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 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",
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@article {B14,
 author  = "{Bailey, D. H.}",
 title   = "Extra High Speed Matrix Multiplication on the {CRAY-2}",
 journal = "SIAM J. Sci. and Stat. Comput.",
 volume  = "9",
 pages   = "603--607",
 year    = "1988"}

@unpublished {B15,
 author  = "{Bailey, D. H.} and {Lee, K.} and {Simon, H. D.}",
 title   = "Using {Strassen's} Algorithm to Accelerate the Solution of Linear
 Systems",
 note    = "({Manuscript})",
 year    = "1990"}

@techreport {B16,
 author  = "{Brent, R. P.}",
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 institution = "Computer Science Dept., Stanford Univ.",
 year    = "1970"}

@book {B17,
 author  = "{Bauer, F. L.} and others",
 title   = "Compiler Construction, An Advanced Course",
 series  = "Lecture Notes in Computer Science",
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@book {B18,
 author  = "{Ben-Ari, M.}",
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@book {B19,
 author  = "{Brink, J.} and {Spillman, R.}",
 title   = "Computer Architecture and {VAX} Assembly Language Programming",
 publisher = "The Benjamin/Cummings Co.",
 year    = "1987"}

@book {B20,
 author  = "{Bruce, W. H.}",
 title   = "Recursive Programming Techniques",
 publisher = "Addison-Wesley",
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@book {B21,
 author  = "{Bentley, J. L.}",
 title   = "Programming Pearls",
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@book {B22,
 author  = "{Berge, C.}",
 title   = "Graphs and Hypergraphs",
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@book {B23,
 author  = "{Berge, C.}",
 title   = "The Theory of Graphs and its Applications",
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@book {B24,
 author  = "{Bondy, J. A.} and {Murty, U. S. R.}",
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@article {B25,
 author  = "{Bixby, R. E.}",
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 number  = "1",
 pages   = "15--22",
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@techreport {B26,
 author  = "{Blum, L.}",
 title   = "Lectures on a Theory of Computation and Complexity over the
 Reals (or an Arbitrary Ring)",
 type    = "{Tech. Report}",
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 institution = "International Computer Science Institute, Berkeley",
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@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",
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 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",
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 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. P.}",
 title   = "A {Cholesky} Up-and-Downdating Algorithm for Systolic and {SIMD}
 Architectures",
 journal = "SIAM J. Sci. and Stat. Comput.",
 note    = "(To be published)",
 year    = "1992"}

@book {B100,
 author  = "{Bau, D.} and {Trefethen, L. N.}",
 title   = "Numerical Linear Algebra",
 publisher = "SIAM Publications",
 note    = "(To be published)",
 year    = "1996"}

@book {B101,
 author  = "{Bj{\"o}rck, A.}",
 title   = "Numerical Methods for Least Squares Problems",
 publisher = "SIAM Publications",
 note    = "(To be published)",
 year    = "1996"}

@book {B102,
 author  = "{Bellman, R.}",
 title   = "Introduction to Matrix Analysis",
 publisher = "SIAM Publications",
 note    = "({First edition by McGraw-Hill, 1960})",
 year    = "1995"}

@book {B103,
 author  = "{Briggs, W. L.}",
 title   = "The DFT~: An Owner's Manual for the Discrete Fourier Transform",
 publisher = "SIAM Publications",
 year    = "1995"}

@book {B104,
 author  = "{Bank, R. E.}",
 title   = "{PLTMG}~: A Software Package for Solving Elliptic Partial
 Differential Equations, ``{User's Guide}'' 7.0",
 publisher = "SIAM Publications",
 year    = "1994"}

@book {B105,
 editor  = "{Bailey, D. H.} and {Bj{\o }rstad, P. E.} and {Gilbert, J. R.} and
 {Mascagni, M. D.} and {Schreiber, R.} and {Simon, H. D.} and {Torczon, V. J.}
 and {Watson, L. T.}",
 title   = "Proc. $7^{th}$ {SIAM} Conference on Parallel
 Processing for Scientific Computing",
 publisher = "SIAM Publications",
 year    = "1995"}

@article {B106,
 author  = "{Blum, L.} and {Shub, M.} and {Smale, S.}",
 title   = "On a Theory of Computation and Complexity over the Real Numbers~:
 {NP}-Completeness, Recursive Functions and Universal Machines",
 journal = "Bull. AMS",
 volume  = "21",
 number  = "1",
 pages   = "1--46",
 year    = "1989"}

@inproceedings {B107,
 author  = "{Bloch, E.}",
 title   = "The Engineering Design of the {STRETCH} Computer",
 booktitle = "Proc. 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. Jr.}",
 title   = "Mass Memory in Computer Systems",
 journal = "IEEE Trans.",
 volume  = "MAG-5",
 pages   = "635--639",
 year    = "1969"}

@article {B141,
 author  = "{Bacher, R.} and {Tinney, W. F.}",
 title   = "Faster Local Power Flow Solutions~: {The} Zero Mismatch Approach",
 journal = "IEEE Trans. Power Systems",
 volume  = "PWRS-4",
 number  = "4",
 pages   = "1345--1354",
 year    = "1989"}

@article {B142,
 author  = "{Bowdler, H. J.} and {Martin, R. S.} and {Peters, G.} and
 {Wilkinson, J. H.}",
 title   = "Solution of Real and Complex Systems of Linear Equations",
 journal = "Numer. Math.",
 volume  = "8",
 pages   = "217--234",
 year    = "1966"}

@article {B143,
 author  = "{Brown, R. J.} and {Tinney, W. F.}",
 title   = "Digital Solutions for Large Scale Power Networks",
 journal = "IEEE Trans. Power Apparatus and Systems",
 volume  = "PAS-76",
 number  = "3",
 pages   = "347",
 year    = "1957"}

@article {B144,
 author  = "{Brown, W. 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",
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 address = "Providence",
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@article {B154,
 author  = "{Baty, J. P.} and {Stewart, K. L.}",
 title   = "Dissection of Structures",
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 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",
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@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. Soc.",
 volume  = "314",
 pages   = "499--526",
 year    = "1989"}

@book {B170,
 author  = "{Boothby}",
 title   = "Introduction to Differentiable Manifolds and Riemannian Geometry",
 publisher = "Academic Press",
 year    = "1975"}

@book {B171,
 author  = "{Borovkov, K. A.}",
 title   = "Russian-English English-Russian Dictionary on Probability,
 Statistics and Combinatorics",
 publisher = "SIAM Publications",
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@article {B172,
 author  = "{Beasley, J. E.}",
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 volume  = "19",
 pages   = "1--16",
 year    = "1989"}

@techreport {B173,
 author  = "{Bischof, C. H.} and {Carle, A.} and {Khademi, P.} and
 {Maurer, A.}",
 title   = "The {ADIFOR} 2.0 System for the Automatic Differentiation of
 {FORTRAN 77} Programs",
 type    = "{Tech. 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",
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 {Householder} Reduction Algorithms on the {IBM˙3090} Vector Multiprocessor",
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@book {C7,
 author  = "{Coleman, T. F.}",
 title   = "Large Sparse Numerical Optimization",
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 volume  = "165",
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@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.}",
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@article {C10,
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 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.}",
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 volume  = "11",
 pages   = "363--378",
 year    = "1985"}

@article {C12,
 author  = "{Coleman, T. F.} and {Mor\'e, J. J.}",
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 volume  = "20",
 pages   = "187--209",
 year    = "1983"}

@article {C13,
 author  = "{Coleman, T. F.} and {Mor\'e, J. J.}",
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 Problems",
 journal = "SIAM J. Numer. Anal.",
 volume  = "28",
 pages   = "243--270",
 year    = "1984"}

@article {C14,
 author  = "{Cate, E. G.} and {Twigg, D. W.}",
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 journal = "ACM Trans. Math. Software",
 volume  = "3",
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 pages   = "104--110",
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@inbook {C15,
 editor  = "{Conn, A. R.} and {Gould, N.} and {Toint, Ph. L.}",
 title   = "Large Scale Optimization",
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 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",
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@book {C17,
 author  = "{Cormen, T. H.} and {Leiserson, C. E.} and {Rivest, R. L.}",
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@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",
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 pages   = "419--441",
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@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",
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@article {C22,
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 title   = "Congruence Techniques for the Exact Solution of Integer Systems
 of Linear Equations",
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 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
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 volume  = "3",
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 pages   = "404--410",
 year    = "1977"}

@inproceedings {C24,
 author  = "{Calahan, D. A.}",
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@techreport {C25,
 author  = "{Chu, E. C. H.} and {George, A.} and {Ng, E.}",
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 institution = "Univ. Waterloo",
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@book {C26,
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 {WATFOR}, and {WATFIV} Programming",
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@book {C27,
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@book {C28,
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@book {C29,
 author  = "{Conte, S. D.} and {de Boor, C.}",
 title   = "Elementary Numerical Analysis~: An Algorithmic Approach",
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@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})",
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@article {C31,
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@manual {C32,
 organization = "{CPLEX} Optimization, Inc.",
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@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",
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@techreport {C34,
 author  = "{Cottle, R. W.}",
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 institution = "Dept. of Oper. Res., Stanford Univ.",
 year    = "1975"}

@inproceedings {C35,
 author  = "{Carpentier, J.}",
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@inproceedings {C37,
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 for Programming Languages and Operating Systems",
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 address = "Palo Alto",
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@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. M.}",
 title   = "An Efficient and Robust Eigenvalue Method for Small-Signal
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 type    = "{Paper}",
 number  = "94-SM-558-7-PWRS",
 institution = "Centro de Pesquisas em Energia El\'etrica (CEPEL)",
 address = "Rio de Janeiro",
 note    = "(Presented at {IEEE} {Winter Power Meeting})",
 year    = "1994"}

@article {C40,
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 {Lima, L. T. G.} and {Pinto, H. J. C. P.} and {Falc\~ao, D. M.}",
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 volume  = "PWRS-9",
 number  = "2",
 pages   = "949--956",
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@article {C41,
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@inproceedings {C42,
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 {Corr\^ea, W. T.} and {J\'unior, W. M.}",
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@inproceedings {C43,
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 {J\'unior, W. M.}",
 title   = "Uma Experi\^encia de Implementa\c c\~ao de M\'etodos de
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 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",
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@inproceedings {C44,
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 booktitle = "Anais do V Simp\'osio Brasileiro de Arquitetura de Computadores e
 Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de
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@inproceedings {C45,
 author  = "{C\'aceres, E. N.} and {Szwarficter, J. L.}",
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 Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de
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 year    = "1993"}

@inproceedings {C46,
 author  = "{Cabral, R. G.} and {Kaskurewicz, E.}",
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 Processamento de Alto Desempenho -- XIII Congresso da Sociedade Brasileira de
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@inproceedings {C47,
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 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.}",
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@mastersthesis {C49,
 author  = "{Cabral, R. G.}",
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 em Multiprocessadores com Arquitetura Hiperc\'ubica",
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 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. A.}",
 title   = "Influence of Task Granularity on Vector Multiprocessor Performance",
 booktitle = "Proc. 1984 International Conference on Parallel Processing",
 pages   = "278--284",
 year    = "1984"}

@article {C82,
 author  = "{Calahan, D. A.}",
 title   = "Task Granularity Studies on a Many-Processor {CRAY X-MP}",
 journal = "Parallel Computing",
 volume  = "2",
 pages   = "109--118",
 year    = "1985"}

@inproceedings {C83,
 author  = "{Calahan, D. A.}",
 title   = "Block-Oriented, Local-Memory-Based Linear Equation Solution on the
 {CRAY-2}~: {Uniprocessor} Algorithms",
 booktitle = "Proc. 1986 International Conference on Parallel Processing",
 pages   = "375--378",
 year    = "1986"}

@phdthesis {C84,
 author = "{Chu, E.}",
 title  = "Orthogonal Decomposition of Dense and Sparse Matrices on
 Multiprocessors",
 school = "Univ. of Waterloo",
 year   = "1988"}

@book {C85,
 author  = "{Clarke, F. H.}",
 title   = "Optimization and Nonsmooth Analysis",
 publisher = "SIAM Publications",
 year    = "1990"}

@book {C86,
 author  = "{Clarke, F. H.}",
 title   = "Methods of Dynamics and Nonsmooth Optimization",
 publisher = "SIAM Publications",
 year    = "1989"}

@book {C87,
 author  = "{Chui, C. K.}",
 title   = "Multivariate Splines",
 publisher = "SIAM Publications",
 year    = "1988"}

@book {C88,
 author  = "{Chaitin-Chatelin, F.} and {Fraysse, V.}",
 title   = "Lectures on Finite Precision Computations",
 publisher = "SIAM Publications",
 note    = "(To be published)",
 year    = "1996"}

@book {C89,
 author  = "{Coffman, E. G.} and {Denning, P. J.}",
 title   = "Operating Systems Theory",
 publisher = "Prentice-Hall",
 year    = "1973"}

@incollection {C90,
 author  = "{Chen, T. C}", 
 title   = "Overlap and Parallel Processing",
 editor  = "{Stone, H. S.}",
 booktitle = "Introduction to Computer Architecture",
 pages   = "427--486",
 publisher = "Science Research Associates",
 address = "Chicago",
 year    = "1980"}

@article {C91,
 author  = "{Chen, Y. T.} and {Tewarson, R. 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",
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 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.}",
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 Differential Equations of the Heat Conduction Type",
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@article {C106,
 author  = "{Chartres, B. A.}",
 title   = "Adaptation of the {Jacobi} Method for a Computer with Magnetic-Tape
 Backing Store",
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 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. S.}",
 title   = "Addendum to Sparse Matrix Compiler Manual",
 type    = "{Tech. Report}",
 number  = "AFORS-TR-72-1973",
 institution = "Systems Engineering Lab., Univ. Michigan",
 address = "Ann Arbor",
 year    = "1972"}

@incollection {C123,
 author  = "{Calahan, D. A.} and {McCalla, W. J.}",
 title   = "Eigenvalue Methods for Sparse Matrices",
 editor  = "{Rose, D. J.} and {Willoughby, R. A.}",
 booktitle = "Sparse Matrices and Their Applications",
 pages   = "25--30",
 publisher = "Plenum Press",
 address = "New York",
 year    = "1972"}

@phdthesis {C124,
 author  = "{Chen, Y. T.}",
 title   = "Iterative Methods for Linear Least Squares Problems",
 school  = "Dept. of Computer Science, Waterloo Univ.",
 note    = "({Report CS-75-04})",
 year    = "1975"}

@inproceedings {C125,
 author  = "{Chang, A.}",
 title   = "Application of Sparse Matrix Methods in Electric Power System
 Analysis",
 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"}

@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. Report}",
 number  = "STAN-CS-75-533",
 institution = "Computer Science Dept., Stanford Univ.",
 year    = "1975"}

@techreport {C133,
 author  = "{Curtis, A. R.} and {Chance, E. M.}",
 title   = "{CHECK} and {CHEKMAT}~: {Two} Chemical Reaction Kinetics Programs",
 type    = "{Tech. Report}",
 number  = "AERE-R-7345",
 institution = "HMSO, Harwell Laboratory",
 year    = "1974"}

@techreport {C134,
 author  = "{Carlsson, M.} and {Scharmer, G. B.}",
 title   = "A New Approach to Multi-Level Non-{LTE} Radiative Transfer
 Problems",
 journal = "J. Comput. Phys.",
 volume  = "38",
 year    = "1985"}

@misc {C135,
 author  = "{Cachard, F.}",
 title   = "Logiciel Numerique Associ\'e \`a une Mod\'elisation de Syst\`emes
 Informatiques",
 note    = "{Th\`ese, Univ. Scientifique et M\'edicale de Grenoble, et
 l'Institut National Polytechnique de Grenoble}",
 year    = "1981"}

@incollection {C136,
 author  = "{Cline, A. K.} and {Golub, G. H.} and {Platzman, G. 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., editors, 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 =