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Algorithm 432

swMATH ID: 25817
Software Authors: Bartels, R. H.; Stewart, G. W.
Description: Algorithm 432: Solution of the matrix equation AX + XB = C [F4]. The following programs are a collection of Fortran IV subroutines to solve the matrix equation AX+XB=C(1) where A, B, and C are real matrices of dimensions m×m, n×n, and m×n, respectively. Additional subroutines permit the efficient solution of the equation A T X+XA=C, where C is symmetric. Equation (1) has applications to the direct solution of discrete Poisson equations [W. G. Bickley and J. McNamee, Philos. Trans. R. Soc. Lond., Ser. A 252, 69–131 (1960; Zbl 0092.13001)].
Homepage: https://dl.acm.org/citation.cfm?doid=361573.361582
Keywords: linear algebra; matrices; linear equations
Related Software: mctoolbox; Matlab; LYAPACK; LAPACK; mftoolbox; RICPAC; IRAM; eigs; benchmodred; MATLAB expm; SLICOT; CTLEX; SCASY; MPI; BLAS; ScaLAPACK; IFISS; ARPACK; CSparse; CAREX
Referenced in: 251 Publications
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Referenced by 391 Authors

16 Jbilou, Khalide
11 Simoncini, Valeria
10 Benner, Peter
6 Bouhamidi, Abderrahman
6 Palitta, Davide
5 Hached, Mehrez
5 Kressner, Daniel
5 Kürschner, Patrick
5 Toutounian, Faezeh
4 Heyouni, Mohammed
4 Higham, Nicholas J.
4 Ibáñez González, Jacinto Javier
4 Li, Rencang
4 Saak, Jens
3 Bentbib, Abdeslem Hafid
3 Damm, Tobias
3 Dehghan Takht Fooladi, Mehdi
3 Diao, Huaian
3 Fasi, Massimiliano
3 Hernández-Verón, Miguel Ángel
3 Hernández, Vicente G.
3 Jarlebring, Elias
3 Kaabi, Amer
3 Kerayechian, Asghar
3 Khojasteh Salkuyeh, Davod
3 Massei, Stefano
3 Peinado, Jesús
3 Reichel, Lothar
3 Robol, Leonardo
3 Romero, Natalia
3 Song, Chongmin
3 Truhar, Ninoslav
3 Van Dooren, Paul M.
3 Wang, Xiang
3 Wei, Yimin
3 Wolf, John P.
3 Xu, Shufang
2 Arias, Enrique
2 Bean, Nigel G.
2 Borno, I.
2 Breiten, Tobias
2 Cardoso, João R.
2 Chun, Hon M.
2 Datta, Karabi
2 Demmel, James Weldon
2 Dopico, Froilán M.
2 Ferreira, Carla
2 Fu, Yun
2 Gavrilyuk, Ivan P.
2 Giesl, Peter
2 Gugercin, Serkan
2 Guo, Chun-Hua
2 Hafstein, Sigurður Freyr
2 Hammarling, Sven J.
2 Harker, Matthew
2 Hashemi, Behnam
2 Hodel, A. Scottedward
2 Iannazzo, Bruno
2 Jonckheere, Edmond A.
2 Kit, Dmitry
2 Levenberg, Norman jun.
2 Lin, Yiqin
2 Liu, Zhongyun
2 Lv, Quanyi
2 Meerbergen, Karl
2 O’Leary, Paul
2 O’Reilly, Małgorzata M.
2 Penzl, Thilo
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2 Quintana-Ortí, Enrique S.
2 Raydan, Marcos
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2 Xue, Jungong
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1 Amodei, Luca
1 Ananiadou, Sophia
1 Andrei, Raluca
1 Antoulas, Athanasios C.
1 Baars, Sven
1 Bahmani, Fatemeh
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1 Bakkaloǧlu, Bertan
1 Bao, Liang
1 Bartels, Richard Harold
1 Baur, Ulrike
1 Benahmed, Boubakeur
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Referenced in 84 Serials

30 Linear Algebra and its Applications
19 Applied Mathematics and Computation
14 Computers & Mathematics with Applications
10 Journal of Computational and Applied Mathematics
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8 Numerical Algorithms
7 Numerische Mathematik
7 Systems & Control Letters
7 Applied Numerical Mathematics
7 SIAM Journal on Scientific Computing
7 Numerical Linear Algebra with Applications
7 ETNA. Electronic Transactions on Numerical Analysis
6 Automatica
6 SIAM Journal on Matrix Analysis and Applications
5 Journal of Computational Physics
4 Computer Methods in Applied Mechanics and Engineering
4 Mathematics of Computation
4 Computational and Applied Mathematics
4 Advances in Computational Mathematics
3 Journal of the Franklin Institute
3 Circuits, Systems, and Signal Processing
2 Journal of Mathematical Analysis and Applications
2 Computing
2 Journal of Optimization Theory and Applications
2 Theoretical Computer Science
2 Mathematical and Computer Modelling
2 MCSS. Mathematics of Control, Signals, and Systems
2 Journal of Scientific Computing
2 Journal of Global Optimization
2 Computational Optimization and Applications
2 International Journal of Computer Vision
2 ELA. The Electronic Journal of Linear Algebra
2 Mathematical Problems in Engineering
2 European Journal of Control
2 Soft Computing
2 Journal of Applied Mathematics and Computing
2 BIT. Nordisk Tidskrift for Informationsbehandling
1 Archive for Rational Mechanics and Analysis
1 Computer Physics Communications
1 International Journal of Engineering Science
1 Information Processing Letters
1 Journal of Mathematical Biology
1 ACM Transactions on Mathematical Software
1 Applied Mathematics and Optimization
1 Integral Equations and Operator Theory
1 Journal of Econometrics
1 Journal of Multivariate Analysis
1 Kybernetika
1 Meccanica
1 Applied Mathematics and Mechanics. (English Edition)
1 Physica D
1 Parallel Computing
1 Applied Mathematics Letters
1 Computational Statistics
1 Communications of the ACM
1 International Journal of Computer Mathematics
1 SIAM Review
1 Stochastic Processes and their Applications
1 Journal of Mathematical Imaging and Vision
1 Applicationes Mathematicae
1 Turkish Journal of Mathematics
1 The Journal of Fourier Analysis and Applications
1 Nonlinear Dynamics
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Journal of Shanghai University
1 Discrete Dynamics in Nature and Society
1 Methodology and Computing in Applied Probability
1 The ANZIAM Journal
1 Journal of Applied Mathematics
1 Portugaliae Mathematica. Nova Série
1 Journal of Machine Learning Research (JMLR)
1 Mediterranean Journal of Mathematics
1 International Journal of Numerical Analysis and Modeling
1 Acta Mechanica Sinica
1 SIAM Journal on Imaging Sciences
1 Algorithms
1 Science China. Mathematics
1 Asian Journal of Control
1 Numerical Algebra, Control and Optimization
1 Journal of Applied Analysis and Computation
1 Journal of Linear and Topological Algebra
1 Nonlinear Analysis. Theory, Methods & Applications
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