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; MUMPS; symrcm; UMFPACK; GitHub; PARDISO; AMD; LAPACK; CHOLMOD; Trilinos; ILUT; PETSc; METIS; GMRFLib; Gmsh; BLAS; HSL; CUDA; SuperLU
Cited in: 269 Documents

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.
all top 5

Cited by 635 Authors

7 Shadid, John N.
5 Davis, Timothy Alden
5 Saad, Yousef
4 Boyd, Stephen Poythress
4 Darve, Eric
4 Dietzsch, Julian
4 Gross, Michael B.
4 Gu, Xian-Ming
4 Huang, Ting-Zhu
4 Jia, Jiteng
4 Lin, Paul T.
4 Lourenco, Christopher J.
4 Martinsson, Per-Gunnar
4 Moreno-Centeno, Erick
4 Schenk, Olaf
4 Wood, Simon N.
3 Benner, Peter
3 Benzi, Michele
3 Filelis-Papadopoulos, Christos K.
3 Gravvanis, George A.
3 Jiang, Yaolin
3 Selland Kleppe, Tore
3 Li, Ruipeng
3 Scott, Jennifer
3 Tuminaro, Raymond S.
3 Ying, Lexing
2 Aristotelous, Andreas C.
2 Aykanat, Cevdet
2 Badia, Santiago
2 Baharev, Ali
2 Banerjee, Sudipto
2 Bemporad, Alberto
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 Finley, Andrew O.
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 Lungten, Sangye
2 Martín, Alberto F.
2 März, Roswitha
2 Maubach, Joseph M. L.
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 Rue, Håvard
2 Sala, Marzio
2 Schilders, Wil H. A.
2 Schmitz, Phillip G.
2 Sogabe, Tomohiro
2 Stellato, Bartolomeo
2 Sváček, Petr
2 Tian, Qiang
2 Toledo, Sivan
2 Uddin, Mohammad Monir
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 Alì, Giuseppe
1 Allison, Kali
1 Amat Plata, Sergio
1 Ambikasaran, Sivaram
...and 535 more Authors
all top 5

Cited in 117 Serials

23 Journal of Computational Physics
21 SIAM Journal on Scientific Computing
14 Computer Methods in Applied Mechanics and Engineering
9 Computers & Mathematics with Applications
9 Numerical Algorithms
9 Numerical Linear Algebra with Applications
7 Journal of Computational and Applied Mathematics
6 Computational Optimization and Applications
6 Statistics and Computing
5 SIAM Journal on Matrix Analysis and Applications
4 International Journal for Numerical Methods in Engineering
4 Linear Algebra and its Applications
4 Mathematical Programming Computation
3 Mathematics and Computers in Simulation
3 Journal of Scientific Computing
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 Multiscale Modeling & Simulation
3 Journal of Computational and Graphical Statistics
2 Computer Physics Communications
2 Journal of Mathematical Biology
2 ACM Transactions on Mathematical Software
2 Applied Mathematics and Computation
2 Calcolo
2 Journal of the American Statistical Association
2 Applied Mathematical Modelling
2 SIAM Review
2 European Journal of Control
2 Living Reviews in Relativity
2 Journal of Applied Mathematics
2 Acta Numerica
2 East Asian Journal on Applied Mathematics
1 Computers and Fluids
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 Mathematical Biosciences
1 Psychometrika
1 Scandinavian Journal of Statistics
1 Mathematics of Computation
1 The Annals of Statistics
1 Automatica
1 Biometrics
1 Information Sciences
1 Journal of Computer and System Sciences
1 Journal of Optimization Theory and Applications
1 Numerische Mathematik
1 Proceedings of the Japan Academy. Series A
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 International Journal of Foundations of Computer Science
1 Applications of Mathematics
1 Journal of Global Optimization
1 Computational Statistics
1 International Journal of Computer Mathematics
1 Computational Statistics and Data Analysis
1 Mathematical Programming. Series A. Series B
1 Journal of Dynamics and Differential Equations
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 INFORMS Journal on Computing
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 European Journal of Mechanics. A. Solids
1 Acta Mathematica Sinica. English Series
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 Journal of the Korean Statistical Society
1 International Mathematical Forum
1 Optimization Letters
...and 17 more Serials

Citations by Year