swMATH ID: 20382
Software Authors: Davis, Timothy A.
Description: Direct methods for sparse linear systems. Computational scientists often encounter problems requiring the solution of sparse systems of linear equations. Attacking these problems efficiently requires an in-depth knowledge of the underlying theory, algorithms, and data structures found in sparse matrix software libraries. Here, Davis presents the fundamentals of sparse matrix algorithms to provide the requisite background. The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages.par With a strong emphasis on MATLAB and the C programming language, Direct Methods for Sparse Linear Systems equips readers with the working knowledge required to use sparse solver packages and write code to interface applications to those packages. The book also explains how MATLAB performs its sparse matrix computations.
Homepage: http://people.sc.fsu.edu/~jburkardt/c_src/csparse/csparse.html
Keywords: sparse linear systems; direct methods; textbook; algorithms; triangular systems; Cholesky factorization; orthogonal methods; LU factorization; fill-reducing orderings; MATLAB
Related Software: SparseMatrix; Matlab; symrcm; MUMPS; UMFPACK; PARDISO; GitHub; LAPACK; AMD; Trilinos; ILUT; METIS; CHOLMOD; PETSc; BLAS; Gmsh; GMRFLib; SuperLU; HSL; CUDA
Cited in: 245 Publications

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
Direct methods for sparse linear systems. Zbl 1119.65021
Davis, Timothy A.
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Cited by 581 Authors

7 Shadid, John N.
5 Davis, Timothy Alden
5 Saad, Yousef
4 Boyd, Stephen Poythress
4 Darve, Eric
4 Gu, Xian-Ming
4 Huang, Ting-Zhu
4 Jia, Jiteng
4 Lin, Paul T.
4 Wood, Simon N.
3 Benzi, Michele
3 Dietzsch, Julian
3 Filelis-Papadopoulos, Christos K.
3 Gravvanis, George A.
3 Gross, Michael B.
3 Jiang, Yaolin
3 Selland Kleppe, Tore
3 Li, Ruipeng
3 Martinsson, Per-Gunnar
3 Schenk, Olaf
3 Tuminaro, Raymond S.
3 Ying, Lexing
2 Aykanat, Cevdet
2 Badia, Santiago
2 Baharev, Ali
2 Bemporad, Alberto
2 Benner, Peter
2 Bollhöfer, Matthias
2 Bui-Thanh, Tan
2 Carpentieri, Bruno
2 Červený, Jakub
2 Chacón, Luis
2 Chen, Chao
2 Claus, Lisa
2 Cyr, Eric C.
2 Demmel, James Weldon
2 Duff, Iain S.
2 Ferragut, Luis
2 Ferronato, Massimiliano
2 Fomin, Fedor V.
2 Franceschini, Andrea
2 Ghysels, Pieter
2 Goulart, Paul J.
2 Hanke, Michael
2 Hao, Sijia
2 Hogg, Jonathan D.
2 Horáček, Jaromir
2 Hu, Haiyan
2 Khorramizadeh, Mostafa
2 Kolb, Oliver
2 Kong, Qiongxiang
2 Kressner, Daniel
2 Li, Xiaoye Sherry
2 Liu, Cheng
2 Liu, Qiaohua
2 Liu, Yang
2 Lourenco, Christopher J.
2 Lungten, Sangye
2 Martín, Alberto F.
2 März, Roswitha
2 Maubach, Joseph M. L.
2 Moreno-Centeno, Erick
2 Moutafis, Byron E.
2 Neumaier, Arnold
2 O’Donoghue, Brendan
2 Parikh, Neal
2 Pawlowski, Roger P.
2 Principe, Javier R.
2 Qin, Zhipeng
2 Rajamanickam, Sivasankaran
2 Sala, Marzio
2 Schilders, Wil H. A.
2 Schmitz, Phillip G.
2 Scott, Jennifer A.
2 Sogabe, Tomohiro
2 Sváček, Petr
2 Tian, Qiang
2 Toledo, Sivan
2 Valášek, Jan
2 Vanroose, Wim
2 Villanger, Yngve
2 Xi, Yuanzhe
1 Aage, Niels
1 Abo, Hirotachi
1 Acer, Seher
1 Ahuja, Kapil
1 Akkerman, Ido
1 Alappat, Christie Louis
1 Alarcón, Virginia
1 Alboussière, Thierry
1 Allison, Kali
1 Amat, Sergio P.
1 Ambikasaran, Sivaram
1 Andersen, Hans-Erik
1 Anderson, Robert W. G.
1 Andersson, Joel A. E.
1 Andrej, Julian
1 Andrs, David
1 Anitescu, Mihai
1 Asensio, Maria Isabel
...and 481 more Authors
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Cited in 106 Serials

22 Journal of Computational Physics
20 SIAM Journal on Scientific Computing
14 Computer Methods in Applied Mechanics and Engineering
9 Numerical Algorithms
9 Numerical Linear Algebra with Applications
8 Computers & Mathematics with Applications
7 Journal of Computational and Applied Mathematics
6 Computational Optimization and Applications
5 SIAM Journal on Matrix Analysis and Applications
4 International Journal for Numerical Methods in Engineering
4 Statistics and Computing
3 Journal of Scientific Computing
3 Linear Algebra and its Applications
3 ETNA. Electronic Transactions on Numerical Analysis
3 Journal of Mathematical Chemistry
3 Mathematical Problems in Engineering
3 Multibody System Dynamics
3 Computational Geosciences
3 Journal of Applied Mathematics
3 Mathematical Programming Computation
3 Journal of Computational and Graphical Statistics
2 Journal of Mathematical Biology
2 Applied Mathematics and Computation
2 Calcolo
2 Mathematics and Computers in Simulation
2 SIAM Review
2 European Journal of Control
2 Living Reviews in Relativity
2 Multiscale Modeling & Simulation
2 East Asian Journal on Applied Mathematics
1 Computers and Fluids
1 Computer Physics Communications
1 Communications on Pure and Applied Mathematics
1 International Journal of Control
1 International Journal of Heat and Mass Transfer
1 Journal of Fluid Mechanics
1 Scandinavian Journal of Statistics
1 Mathematics of Computation
1 ACM Transactions on Mathematical Software
1 The Annals of Statistics
1 Automatica
1 Biometrics
1 Information Sciences
1 Journal of the American Statistical Association
1 Journal of Computer and System Sciences
1 Journal of Optimization Theory and Applications
1 Numerische Mathematik
1 SIAM Journal on Control and Optimization
1 Transactions of the American Mathematical Society
1 Systems & Control Letters
1 Computer Aided Geometric Design
1 Parallel Computing
1 Applied Numerical Mathematics
1 Journal of Symbolic Computation
1 Statistical Science
1 Computers & Operations Research
1 Computational Mechanics
1 International Journal of Approximate Reasoning
1 Mathematical and Computer Modelling
1 Annals of Operations Research
1 Machine Learning
1 Japan Journal of Industrial and Applied Mathematics
1 Applications of Mathematics
1 Journal of Global Optimization
1 Computational Statistics
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Computational Statistics and Data Analysis
1 Mathematical Programming. Series A. Series B
1 SIAM Journal on Optimization
1 Test
1 Theory of Probability and Mathematical Statistics
1 International Journal of Computer Vision
1 Computational and Applied Mathematics
1 Advances in Applied Clifford Algebras
1 Engineering Analysis with Boundary Elements
1 Computing and Visualization in Science
1 Optimization Methods & Software
1 Mathematical Methods of Operations Research
1 Journal of the Royal Statistical Society. Series B. Statistical Methodology
1 Fundamenta Informaticae
1 Methodology and Computing in Applied Probability
1 Optimization and Engineering
1 Archives of Computational Methods in Engineering
1 Computational Methods in Applied Mathematics
1 Journal of Numerical Mathematics
1 Structural and Multidisciplinary Optimization
1 Acta Numerica
1 Journal of the Korean Statistical Society
1 International Mathematical Forum
1 Electronic Journal of Statistics
1 The Annals of Applied Statistics
1 SIAM Journal on Imaging Sciences
1 Algorithms
1 Advances in Applied Mathematics and Mechanics
1 International Journal for Numerical Methods in Biomedical Engineering
1 GEM - International Journal on Geomathematics
1 Symmetry
1 Numerical Algebra, Control and Optimization
...and 6 more Serials

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