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Abstract: This bibliographic list of references was originally compiled during the elaboration of my PhD thesis, and 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"... (Update)
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BibTeX entry: (Update)
@misc{ arantes-bibliography,
author = "Ricardo Duarte Arantes",
title = "Bibliography on the Solution of Sparse Linear Systems and Related Areas
of Computation",
url = "citeseer.comp.nus.edu.sg/67676.html" }
Citations (may not include all citations):1450 The Design and Analysis of Computer Algorithms (context) - Aho, Hopcroft et al. - 1974
1120 Handbook of Mathematical Functions (context) - Abramowitz, Stegun - 1964
866 Techniques and Tools (context) - Aho, Sethi et al. - 1986
452 Data Structures and Algorithms (context) - Aho, Hopcroft et al. - 1983
348 Parallel and Distributed Computation -- Numerical Methods (context) - Bertsekas, Tsitsiklis - 1989
260 The validity of the single processor approach to achieving l.. (context) - Amdahl - 1967
245 Graphs and Hypergraphs (context) - Berge - 1973
232 A study of replacement algorithms for a virtual-storage comp.. (context) - Belady - 1966
213 a theory of computation and complexity over the real numbers.. (context) - Blum, Shub et al. - 1989
198 Organization and maintenance of large ordered indexes (context) - Bayer - 1972
197 Constrained Optimization and Lagrange Multiplier Methods (context) - Bertsekas - 1982
145 Easy problems for tree-decomposable graphs - Arnborg, Lagergren et al. - 1991
142 Advanced Mathematical Methods for Scientists and Engineers (context) - Bender, Orszag - 1978
127 Principles of Compiler Design (context) - Aho, Ullman - 1977
127 Highly Parallel Computing (context) - Almasi, Gottlieb - 1989
126 Numerical Methods for Least Squares Problems (context) - Bjorck - 1996
120 An Introduction to Numerical Analysis (context) - Atkinson - 1978
113 The Design and Analysis of Parallel Algorithms (context) - Akl - 1989
109 Efficient algorithms for combinatorial problems on graphs wi.. (context) - Arnborg - 1985
87 Numerical Linear Algebra (context) - Bau, Trefethen - 1996
84 Partitioning procedures for solving mixed-variable programmi.. (context) - Benders - 1962
78 Programming Pearls (context) - Bentley - 1986
77 Translation and Compiling (context) - Aho, Ullman - 1973
72 Minimization of functions having Lipschitz-continuous first .. (context) - Armijo - 1980
69 Optimal expected-time algorithms for closest point problems (context) - Bentley, Weide et al. - 1980
62 The transitive reduction of a directed graph (context) - Aho, Garey et al. - 1972
60 The uniform memory hierarchy model of computation - Alpern, Carter et al. - 1992
59 Nonlinear Parameter Estimation (context) - Bard - 1970
59 Parallel Sorting Algorithms (context) - Akl - 1985
56 Vectorization of a multiprocessor multifrontal code (context) - Amestoy - 1989
56 Nonlinear Programming : Analysis and Methods (context) - Avriel - 1976
53 Parallel Computational Geometry (context) - Akl, Lyons - 1993
49 Templates for the Solution of Linear Systems : Building Bloc.. (context) - Barret, Berry et al. - 1993
43 Projected Newton methods for optimization problems with simp.. (context) - Bertsekas - 1982
37 Implementing the simplex method : The initial basis (context) - Bixby - 1992
35 Optimal parallel solution of sparse triangular systems (context) - Alvarado, Schreiber - 1993
35 the Goldstein-Levitin-Polyak gradient projection method (context) - Bertsekas - 1976
35 Optimal parallel solution of sparse triangular systems (context) - Alvarado, Schreiber - 1990
35 Computer Structures : Readings and Examples (context) - Bell, Newell - 1971
33 A fan-in algorithm for distributed sparse numerical factoriz.. (context) - Ashcraft, Eisenstat et al. - 1990
32 Principles of Concurrent Programming (context) - Ben-Ari - 1982
32 The Theory of Splines and Their Applications (context) - Ahlberg, Nilson et al. - 1967
30 Compressed graphs and the minimum degree algorithm (context) - Ashcraft - 1995
30 Progress in sparse matrix methods for large linear systems o.. (context) - Ashcraft, Grimes et al. - 1987
30 The influence of relaxed supernode partitions on the multifr.. (context) - Ashcraft, Grimes - 1989
29 Modeling parallel computers as memory hierarchies - Alpern, Carter et al. - 1993
26 system for the automatic differentiation of FORTRAN 77 progr.. (context) - Bischof, Carle et al. - 1994
26 Very large-scale linear programming : A case study in combin.. (context) - Bixby, Gregory et al. - 1992
26 Progress in linear programming (context) - Bixby - 1994
26 Using ADIFOR to compute dense and sparse Jacobians - Bischof, Hovland - 1991
26 More Programming Pearls (context) - Bentley - 1988
26 Compilation techniques for sparse matrix computations - Bik, Wijshoff - 1993
25 The Theory of Graphs and its Applications (context) - Berge - 1962
24 An SST-based algorithm for the Steiner problem in graphs (context) - Beasley - 1989
23 Writing Efficient Programs (context) - Bentley - 1982
21 Iterative algorithms for solution of large sparse systems of.. (context) - Aykanat, Ozguner et al. - 1988
20 Using Strassen's algorithm to accelerate the solution of lin.. (context) - Bailey, Lee et al. - 1990
20 Polynomial algorithms for graph isomorphism and chromatic (context) - Bodlaender
20 Data structures and programming techniques for the implement.. - Adler, Karmarkar et al. - 1989
20 Solving linear least squares problems by Gram-Schmidt orthog.. (context) - Bjorck - 1967
18 Computer Algorithms (context) - Baase - 1985
18 Graph coloring using eigenvalue decomposition (context) - Aspvall, Gilbert - 1984
17 The ILLIAC IV computer (context) - Barnes, Brown et al. - 1968
16 the performance of the minimum degree ordering for Gaussian .. (context) - Berman, Schnitger - 1990
16 Extra high speed matrix multiplication on the CRAY - Bailey - 1988
15 A block projection method for sparse matrices (context) - Arioli, Duff et al. - 1990
15 Using domain decomposition to find graph bisectors - Ashcraft, Liu - 1995
15 the augmented system approach to sparse least-squares proble.. (context) - Arioli, Duff et al. - 1989
14 Marching algorithms for elliptic boundary value problems -- .. (context) - Bank, Rose
14 Marching Algorithms for Elliptic Boundary Value Problems (context) - Bank - 1975
14 Solving sparse triangular linear systems on parallel compute.. (context) - Anderson, Saad - 1989
13 Incremental condition estimation for sparse matrices (context) - Bischof, Lewis et al. - 1990
13 Numerical Methods That Work (context) - Acton - 1970
13 A partition improvement algorithm for generalized nested dis.. (context) - Ashcraft, Liu - 1994
12 The nonlinear geometry of linear programming -- I : Affine a.. (context) - Bayer, Lagarias - 1989
12 Dual coordinate step methods for linear network flow problem.. - Bertsekas, Eckstein - 1988
12 Solving multistage stochastic programs using tree dissection (context) - Berger, Mulvey et al. - 1995
12 On finding lowest common ancestors in trees (context) - Aho, Hopcroft et al. - 1976
12 Factorization of Large Sparse Matrices Based on a Multifront.. (context) - Amestoy - 1991
11 The simplex method of linear programming using LU decomposit.. (context) - Bartels, Golub - 1969
11 Concurrent multifrontal methods : Shared memory (context) - Benner, Montry et al. - 1987
11 Optimally scaled matrices (context) - Bauer - 1963
10 A Cholesky up-and-downdating algorithm for systolic and SIMD.. (context) - Bischof, Pan et al. - 1992
10 Generalized nested dissection : Some recent progress (context) - Ashcraft, Liu - 1994
10 A parallel interior point algorithm for linear programming o.. (context) - Bisseling, Doup et al. - 1993
10 High performance reduced instruction set processors (context) - Agerwala, Cocke - 1987
9 segment partition for the factorization of sparse symmetric .. (context) - Ashcraft - 1990
9 volume 21 of Lecture Notes in Computer Science (context) - Bauer - 1974
9 Visualizing computer memory architectures (context) - Alpern, Carter et al. - 1990
9 Lectures on a theory of computation and complexity over the .. (context) - Blum - 1989
9 Memory allocation issues in sparse multiprocessor multifront.. (context) - Amestoy, Duff - 1993
9 The traveling salesman problem : A survey (context) - Bellmore, Nemhauser - 1968
9 Simon and Schuster (context) - Bell - 1975
9 Matrix Calculus (context) - Bodewig - 1959
8 Manipulation and visualization of sparse matrices (context) - Alvarado - 1990
8 General sparse elimination requires no permanent integer sto.. - Bank, Smith - 1987
7 the reduction of a symmetric matrix to tridiagonal form (context) - Aasen - 1971
7 Parallel pivoting combined with parallel reduction (context) - Alaghband - 1987
7 MUPS : A parallel package for solving sparse unsymmetric set.. (context) - Amestoy, Duff - 1994
7 Parallel pivoting combined with parallel reduction and fill-.. (context) - Alaghband - 1989
6 On finding minimum-diameter clique trees (context) - Blair, Peyton - 1991
6 The scheduling of sparse matrix-vector multiplication on a m.. (context) - Andersen, Mitra et al. - 1992
6 A project for developing a linear algebra library for high-p.. (context) - Bischof, Dongarra - 1989
6 Partitioned sparse A \Gamma1 methods (context) - Alvarado, Yu et al. - 1990
6 Complexity of finding embebdings in a k-tree (context) - Arnborg, Corneil et al. - 1987
6 The engineering design of the STRETCH computer (context) - Bloch - 1959
5 The IBM 360 Model 91 : Machine philosophy and instruction ha.. (context) - Anderson, Sparacio et al. - 1967
5 Parallel sparse matrix solution and performance (context) - Alaghband - 1995
5 the distributed parallel simulation of Hopfield 's neural ne.. (context) - Barbosa, Lima - 1990
5 Architecture of the IBM System (context) - Amdahl, Blaauw et al. - 1964
5 A vector implementation of the multifrontal method for large.. (context) - Ashcraft - 1987
5 Alternating direction implicit method (context) - Birkhoff, Varga et al. - 1962
5 Performance programming : A science waiting to happen (context) - Alpern, Carter - 1994
5 Prior reduced fill-in in solving equations in interior point.. (context) - Birge, Freund et al. - 1992
5 Solution of simultaneous linear equations using a magnetic t.. (context) - Barron, Swinnerton-Dyer - 1960
4 Large Scale Matrix Problems (context) - Bjorck, Plemmons et al. - 1981
4 A direct method for the solution of sparse linear least squa.. (context) - Bjorck, Duff - 1979
4 Dynamic programming treatment of the traveling salesman prob.. (context) - Bellman - 1962
4 User's Guide (context) - Berry - 1993
4 Ibm second-generation RISC machine organization (context) - Bakoglu, Grohoski et al. - 1989
4 A stabilization of the simplex method (context) - Bartels - 1971
4 A direct method for sparse least squares problems with lower.. (context) - Bjorck - 1988
4 A new architecture for mini-computers : The DEC PDP (context) - Bell, Cady et al. - 1970
4 The myth of scalable high performance - Alpern, Carter - 1995
3 Sparse Gaussian elimination with controlled fill-in on a sha.. (context) - Alaghband, Jordan - 1986
3 Sparse Gaussian elimination with controlled fill-in on a sha.. (context) - Alaghband, Jordan - 1989
3 A note on scaling in the augmented system methods (context) - Bjorck - 1991
3 method for solving constant coefficient boundary value probl.. (context) - Bank, Rose et al.
3 The exact analysis of sparse rectangular linear systems (context) - Alfeld, Eyre - 1991
3 Parallel solution of transient problems by trapezoidal integ.. (context) - Alvarado - 1979
3 Numerical methods (context) - Beale - 1967
3 Dynamic space-sharing computer systems (context) - Belady, Kuehner - 1969
3 Nonlinear Partial Differential Equations in Engineering (context) - Ames - 1965
3 Energy Theorems and Structural Analysis (context) - Argyris - 1960
3 Subcube matrix decomposition : A unifying view for LU factor.. (context) - Angelaccio, Colajanni - 1994
3 Annals of the History of Computing (context) - Backus, history - 1979
3 An efficient heuristic ordering algorithm for partial matrix.. (context) - Betancourt - 1988
3 International Symposium (context) - Berge - 1967
3 Elimination by nested dissection (context) - Birkhoff, George - 1973
3 Implicit alternating direction methods (context) - Birkhoff, Varga - 1959
3 User's Guide (context) - Bank, PLTMG - 1994
3 Multiprocessor Sparse LU Decomposition with Controlled Fill (context) - Alaghband - 1988
2 direct linear equation solver for structural analysis and it.. (context) - Bjorstad - 1987
2 American National Standard FORTRAN (context) - Association - 1978
2 A comparison of algorithms for solving symmetric indefinite .. (context) - Barwell, George - 1976
2 American National Standard FORTRAN (context) - Association - 1966
2 Program structures for parallel processing (context) - Anderson - 1965
2 A compute-ahead implementation of the fan-in sparse distribu.. (context) - Ashcraft, Eisenstat et al. - 1990
2 An optimal ordering of electronic circuit equations for a sp.. (context) - Berry - 1971
2 Matrix and other direct methods for the solution of systems .. (context) - Bickley, McNamee - 1960
2 A software system for the exact analysis of rectangular rank.. (context) - Alfeld, Eyre - 1991
2 The nonlinear geometry of linear programming -- II : Legendr.. (context) - Bayer, Lagarias - 1989
2 Nonlinear Programming (context) - Abadie - 1967
2 A note on sorting sparse matrices (context) - Alvarado - 1979
2 Sparsity-oriented compensation methods for modified network .. (context) - Alsa, Stott et al. - 1983
2 Khachiyan's linear programming algorithm (context) - Aspvall, Stone - 1980
2 Message compression for high performance - Alpern, Carter - 1995
1 A note on nested dissection for regular grids (context) - Bhat, Habash et al. - 1993
1 Her Majesty's Stationery Office (context) - Computing, volume et al. - 1961
1 Numerical Algorithms : Origins and Applications (context) - Arden, Astill - 1970
1 An hybrid approach by symbolic processing for the efficient .. (context) - Arantes - 1990
1 Symbolic methodologies for the efficient solution of sparse .. (context) - Arantes - 1994
1 On penalty and multiplier methods for constrained optimizati.. (context) - Bertsekas - 1976
1 An Introduction to Digital Computing (context) - Arden - 1963
1 of Parallel and Distributed Computing (context) - Al-Bassam, El-Rewini et al. - 1992
1 Hashing matrix subscripts (context) - Atkinson - 1975
1 Numerical Solution of Field Problems in Continuum Physics (context) - Birkhoff, Varga - 1970
1 Numerical methods in conformal mapping (context) - Birkhoff, Young et al. - 1953
1 A FORTRAN-77 software library for the sparse singular value .. (context) - Berry - 1992
1 A supernodal implementation of general sparse factorization .. (context) - Ashcraft, Lewis et al. - 1987
1 Near minimal matrix profiles and wavefronts for testing noda.. (context) - Armstrong - 1986
1 Triangular factors of modified matrices (context) - Bennet - 1965
1 A comparison of 3 column-based distributed sparse factorizat.. (context) - Ashcraft, Eisenstat et al. - 1990
1 Graphs and Computers (context) - Bellman, Cooke et al. - 1970
1 th SIAM Conference on Parallel Processing for Scientific Com.. (context) - Bailey, Bjorstad et al. - 1995
1 The Aggregate Model for the Factorization of Symmetric Posit.. (context) - Ashcraft - 1990
1 Special Issue devoted to UNIX (context) - Labs, Tech et al. - 1978
1 of Supercomputer Appl (context) - Amdahl, of - 1988
1 A note on multiplying Boolean matrices (context) - Baker - 1962
1 A new version of the sparse matrix solving machine (context) - Amano, Boku et al. - 1985
1 FORTRAN implementation of marching algorithms (context) - Bank - 1975
1 An algorithm for reducing the bandwidth of a matrix of symme.. (context) - Alway, Martin - 1965
1 Marching algorithms and block Gaussian elimination (context) - Bank - 1976
1 Degrees of freedom and modular structure in matrix multiplic.. (context) - Andrews - 1971
1 Ordering schemes for partitioned sparse inverses (context) - Alvarado, Yu et al. - 1989
1 State estimation using augmented block matrices (context) - Alvarado, Tinney - 1990
1 Parallel solution of sparse systems of linear equations (context) - Arantes, Amorim - 1993
1 A simplex variant solving an m x d linear program in O (context) - Adler, Karp et al. - 1987
1 Nonlinear Programming using a General Mathematical Programmi.. (context) - Beale - 1978
1 Parallelization of the MA28 sparse matrix package for the HE.. (context) - Alaghband, Jordan - 1983
1 Parallelizing a sparse matrix package (context) - Alaghband, Jordan - 1983
1 decomposition with controlled fill (context) - Alaghband, Jordan et al. - 1985
1 Uma nova estrat'egia para a solu¸c~ao de problemas de estima.. (context) - Azevedo - 1989
1 Implicit reorderings for the scalar solution of sparse posit.. (context) - Arantes - 1997
1 Methods for sparse least squares problems (context) - Bjorck - 1976
1 Engineering Applications of Digital Computers (context) - editor - 1968
1 Code orderings for the solution of sparse positive definite .. (context) - Arantes - 1997
1 Some new aspects on load-flow calculation -- I : Impedance m.. (context) - Baumann - 1966
1 XEROX Palo Alto Research Center (context) - Bodlaender, Gilbert et al. - 1990
1 Faster local power flow solutions : The zero mismatch approa.. (context) - Bacher, Tinney - 1989
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