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; LSQR; CAREX; ARPACK Cited in: 251 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Algorithm 432: Solution of the matrix equation \(AX + XB = C\). Zbl 1372.65121Bartels, R. H.; Stewart, G. W. 1972 all top 5 Cited by 396 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 Hernández, Vicente G. 4 Heyouni, Mohammed 4 Higham, Nicholas J. 4 Ibáñez González, Jacinto Javier 4 Li, Rencang 4 Saak, Jens 3 Arias, Enrique 3 Bentbib, Abdeslem Hafid 3 Damm, Tobias 3 Dehghan Takht Fooladi, Mehdi 3 Diao, Huaian 3 Fasi, Massimiliano 3 Hernández-Verón, Miguel Ángel 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 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 2 Plestenjak, Bor 2 Poloni, Federico Giovanni 2 Quintana-Ortí, Enrique S. 2 Raydan, Marcos 2 Sadek, El Mostafa 2 Shao, Ming 2 Shirilord, Akbar 2 Sorensen, Danny C. 2 Tani, Mattia 2 Taylor, Peter Gerrard 2 Turner, James D. 2 Wachspress, Eugene L. 2 Xiao, Manyu 2 Xue, Jungong 2 Zhang, Yulin 1 Abidi, O. 1 Absil, Pierre-Antoine 1 Addam, Mohamed 1 Agoujil, Said 1 Al-Smadi, Mohammed H. 1 Amodei, Luca 1 Ananiadou, Sophia 1 Andrei, Raluca 1 Antoulas, Athanasios C. 1 Baars, Sven 1 Bahmani, Fatemeh 1 Bai, Zhaojun 1 Bakkaloǧlu, Bertan 1 Bao, Liang 1 Bartels, Richard Harold 1 Baur, Ulrike 1 Benahmed, Boubakeur ...and 296 more Authors all top 5 Cited 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 8 BIT 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. 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