Hon, Sean; Fung, Po Yin; Dong, Jiamei; Serra-Capizzano, Stefano A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs. (English) Zbl 07824749 Numer. Algorithms 95, No. 4, 1769-1799 (2024). MSC: 65-XX 15B05 65F08 65F10 65M22 PDFBibTeX XMLCite \textit{S. Hon} et al., Numer. Algorithms 95, No. 4, 1769--1799 (2024; Zbl 07824749) Full Text: DOI arXiv
Chu, Eric K.-W.; Hou, Liangshao; Szyld, Daniel B.; Zhou, Jieyong Numerical solution of singular Sylvester equations. (English) Zbl 1522.65059 J. Comput. Appl. Math. 436, Article ID 115426, 17 p. (2024). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{E. K. W. Chu} et al., J. Comput. Appl. Math. 436, Article ID 115426, 17 p. (2024; Zbl 1522.65059) Full Text: DOI
Correnty, Siobhán; Jarlebring, Elias; Szyld, Daniel B. Preconditioned Chebyshev BiCG method for parameterized linear systems. (English) Zbl 07799508 ETNA, Electron. Trans. Numer. Anal. 58, 629-656 (2023). MSC: 65F08 65F10 15A06 PDFBibTeX XMLCite \textit{S. Correnty} et al., ETNA, Electron. Trans. Numer. Anal. 58, 629--656 (2023; Zbl 07799508) Full Text: DOI arXiv Link
Sadek, Lakhlifa; Talibi Alaoui, Hamad Numerical methods for solving large-scale systems of differential equations. (English) Zbl 1526.65014 Ric. Mat. 72, No. 2, 785-802 (2023). MSC: 65F50 15A24 65F10 65L05 PDFBibTeX XMLCite \textit{L. Sadek} and \textit{H. Talibi Alaoui}, Ric. Mat. 72, No. 2, 785--802 (2023; Zbl 1526.65014) Full Text: DOI
Chen, Tyler; Hallman, Eric Krylov-aware stochastic trace estimation. (English) Zbl 1525.65042 SIAM J. Matrix Anal. Appl. 44, No. 3, 1218-1244 (2023). MSC: 65F60 15A15 65F55 PDFBibTeX XMLCite \textit{T. Chen} and \textit{E. Hallman}, SIAM J. Matrix Anal. Appl. 44, No. 3, 1218--1244 (2023; Zbl 1525.65042) Full Text: DOI arXiv
Hon, Sean; Serra-Capizzano, Stefano A block Toeplitz preconditioner for all-at-once systems from linear wave equations. (English) Zbl 1524.65123 ETNA, Electron. Trans. Numer. Anal. 58, 177-195 (2023). MSC: 65F08 65F10 65M22 15B05 PDFBibTeX XMLCite \textit{S. Hon} and \textit{S. Serra-Capizzano}, ETNA, Electron. Trans. Numer. Anal. 58, 177--195 (2023; Zbl 1524.65123) Full Text: DOI Link
Lund, Kathryn Adaptively restarted block Krylov subspace methods with low-synchronization skeletons. (English) Zbl 1522.65057 Numer. Algorithms 93, No. 2, 731-764 (2023). MSC: 65F25 65F10 65F50 65Y05 15-04 PDFBibTeX XMLCite \textit{K. Lund}, Numer. Algorithms 93, No. 2, 731--764 (2023; Zbl 1522.65057) Full Text: DOI arXiv
Huynh, Viet Q. H.; Suito, Hiroshi Communication-hiding pipelined BiCGSafe methods for solving large linear systems. (English) Zbl 1511.65029 Appl. Math. Comput. 449, Article ID 127868, 16 p. (2023). MSC: 65F10 15A06 65F25 PDFBibTeX XMLCite \textit{V. Q. H. Huynh} and \textit{H. Suito}, Appl. Math. Comput. 449, Article ID 127868, 16 p. (2023; Zbl 1511.65029) Full Text: DOI arXiv
Hnětynková, Iveta; Plešinger, Martin; Žáková, Jana Krylov subspace approach to core problems within multilinear approximation problems: a unifying framework. (English) Zbl 1516.65031 SIAM J. Matrix Anal. Appl. 44, No. 1, 53-79 (2023). MSC: 65F20 65F25 15A06 15A18 15A23 PDFBibTeX XMLCite \textit{I. Hnětynková} et al., SIAM J. Matrix Anal. Appl. 44, No. 1, 53--79 (2023; Zbl 1516.65031) Full Text: DOI
Tang, Shi-Ping; Huang, Yu-Mei A matrix splitting preconditioning method for solving the discretized tempered fractional diffusion equations. (English) Zbl 1508.65021 Numer. Algorithms 92, No. 2, 1311-1333 (2023). MSC: 65F08 65F10 65M22 15B05 PDFBibTeX XMLCite \textit{S.-P. Tang} and \textit{Y.-M. Huang}, Numer. Algorithms 92, No. 2, 1311--1333 (2023; Zbl 1508.65021) Full Text: DOI
Boman, Erik G.; Higgins, Andrew J.; Szyld, Daniel B. Optimal size of the block in block GMRES on GPUs: computational model and experiments. (English) Zbl 1507.65072 Numer. Algorithms 92, No. 1, 119-147 (2023). MSC: 65F10 65F50 65Y10 15A06 PDFBibTeX XMLCite \textit{E. G. Boman} et al., Numer. Algorithms 92, No. 1, 119--147 (2023; Zbl 1507.65072) Full Text: DOI
Gan, Di; Zhang, Guo-Feng Efficient ADI schemes and preconditioning for a class of high-dimensional spatial fractional diffusion equations with variable diffusion coefficients. (English) Zbl 1505.65284 J. Comput. Appl. Math. 423, Article ID 114938, 15 p. (2023). MSC: 65N06 65M06 65F08 65F10 65F55 65M12 65N12 15B05 65T50 26A33 35R11 PDFBibTeX XMLCite \textit{D. Gan} and \textit{G.-F. Zhang}, J. Comput. Appl. Math. 423, Article ID 114938, 15 p. (2023; Zbl 1505.65284) Full Text: DOI
Benner, Peter; Faßbender, Heike; Senn, Michel-Niklas The Hamiltonian extended Krylov subspace method. (English) Zbl 1510.65077 Electron. J. Linear Algebra 38, 572-606 (2022). MSC: 65F25 65F50 65F60 15A23 PDFBibTeX XMLCite \textit{P. Benner} et al., Electron. J. Linear Algebra 38, 572--606 (2022; Zbl 1510.65077) Full Text: arXiv Link
Noutsos, Dimitrios; Tachyridis, Grigorios Band-times-circulant preconditioners for non-symmetric Toeplitz systems. (English) Zbl 1498.65042 BIT 62, No. 2, 561-590 (2022). MSC: 65F08 65F10 15B05 15A18 PDFBibTeX XMLCite \textit{D. Noutsos} and \textit{G. Tachyridis}, BIT 62, No. 2, 561--590 (2022; Zbl 1498.65042) Full Text: DOI
Hon, Sean; Serra-Capizzano, Stefano; Wathen, Andy Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems. (English) Zbl 1498.65041 BIT 62, No. 2, 465-491 (2022). MSC: 65F08 65F10 65M22 15B05 PDFBibTeX XMLCite \textit{S. Hon} et al., BIT 62, No. 2, 465--491 (2022; Zbl 1498.65041) Full Text: DOI
Zeng, Min-Li; Yang, Jun-Feng; Zhang, Guo-Feng On \(\tau\) matrix-based approximate inverse preconditioning technique for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations. (English) Zbl 1485.65029 J. Comput. Appl. Math. 407, Article ID 114088, 21 p. (2022). MSC: 65F08 65F10 15B05 PDFBibTeX XMLCite \textit{M.-L. Zeng} et al., J. Comput. Appl. Math. 407, Article ID 114088, 21 p. (2022; Zbl 1485.65029) Full Text: DOI
Carson, Erin; Lund, Kathryn; Rozložník, Miroslav; Thomas, Stephen Block Gram-Schmidt algorithms and their stability properties. (English) Zbl 1490.65074 Linear Algebra Appl. 638, 150-195 (2022). MSC: 65F25 15A23 65F10 PDFBibTeX XMLCite \textit{E. Carson} et al., Linear Algebra Appl. 638, 150--195 (2022; Zbl 1490.65074) Full Text: DOI arXiv
Gu, Xian-Ming; Zhao, Yong-Liang; Zhao, Xi-Le; Carpentieri, Bruno; Huang, Yu-Yun A note on parallel preconditioning for the all-at-once solution of Riesz fractional diffusion equations. (English) Zbl 1499.65104 Numer. Math., Theory Methods Appl. 14, No. 4, 893-919 (2021). MSC: 65F08 15B05 65M22 35R11 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., Numer. Math., Theory Methods Appl. 14, No. 4, 893--919 (2021; Zbl 1499.65104) Full Text: DOI arXiv
Chen, Qiao; Ghai, Aditi; Jiao, Xiangmin HILUCSI: simple, robust, and fast multilevel ILU for large-scale saddle-point problems from PDEs. (English) Zbl 07478626 Numer. Linear Algebra Appl. 28, No. 6, e2400, 19 p. (2021). Reviewer: Jiří Kopal (Liberec) MSC: 65F10 15A06 65F08 PDFBibTeX XMLCite \textit{Q. Chen} et al., Numer. Linear Algebra Appl. 28, No. 6, e2400, 19 p. (2021; Zbl 07478626) Full Text: DOI arXiv
Chu, Eric K.-W.; Szyld, Daniel B.; Zhou, Jieyong Numerical solution of singular Lyapunov equations. (English) Zbl 07478612 Numer. Linear Algebra Appl. 28, No. 5, e2381, 18 p. (2021). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{E. K. W. Chu} et al., Numer. Linear Algebra Appl. 28, No. 5, e2381, 18 p. (2021; Zbl 07478612) Full Text: DOI
Botchev, Mike A.; Knizhnerman, Leonid; Tyrtyshnikov, Eugene E. Residual and restarting in Krylov subspace evaluation of the \(\varphi\) function. (English) Zbl 1491.65032 SIAM J. Sci. Comput. 43, No. 6, A3733-A3759 (2021). MSC: 65F60 15A16 65L05 PDFBibTeX XMLCite \textit{M. A. Botchev} et al., SIAM J. Sci. Comput. 43, No. 6, A3733--A3759 (2021; Zbl 1491.65032) Full Text: DOI arXiv
Palitta, Davide; Kürschner, Patrick On the convergence of Krylov methods with low-rank truncations. (English) Zbl 1482.65067 Numer. Algorithms 88, No. 3, 1383-1417 (2021). MSC: 65F45 15A06 15A24 PDFBibTeX XMLCite \textit{D. Palitta} and \textit{P. Kürschner}, Numer. Algorithms 88, No. 3, 1383--1417 (2021; Zbl 1482.65067) Full Text: DOI arXiv
Carson, Erin; Lund, Kathryn; Rozložník, Miroslav The stability of block variants of classical Gram-Schmidt. (English) Zbl 1476.65060 SIAM J. Matrix Anal. Appl. 42, No. 3, 1365-1380 (2021). MSC: 65F25 15A23 PDFBibTeX XMLCite \textit{E. Carson} et al., SIAM J. Matrix Anal. Appl. 42, No. 3, 1365--1380 (2021; Zbl 1476.65060) Full Text: DOI
Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions. (English) Zbl 07398755 SIAM J. Matrix Anal. Appl. 42, No. 3, 1290-1318 (2021). MSC: 65F50 65F60 05C12 05C15 15A16 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 42, No. 3, 1290--1318 (2021; Zbl 07398755) Full Text: DOI arXiv
Yue, Su-Feng; Zhang, Jian-Jun An extended shift-invert residual Arnoldi method. (English) Zbl 1476.65056 Comput. Appl. Math. 40, No. 2, Paper No. 63, 15 p. (2021). MSC: 65F15 65F10 65F25 15A18 PDFBibTeX XMLCite \textit{S.-F. Yue} and \textit{J.-J. Zhang}, Comput. Appl. Math. 40, No. 2, Paper No. 63, 15 p. (2021; Zbl 1476.65056) Full Text: DOI
Zhao, Yong-Liang; Li, Meng; Ostermann, Alexander; Gu, Xian-Ming An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation. (English) Zbl 1481.65168 BIT 61, No. 3, 1061-1092 (2021). MSC: 65M06 65M12 65N06 65F08 65F10 65H10 15B05 26A33 35R11 35Q35 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., BIT 61, No. 3, 1061--1092 (2021; Zbl 1481.65168) Full Text: DOI arXiv
Botchev, M. A. An accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matrices. (English. Russian original) Zbl 1469.65087 Comput. Math. Math. Phys. 61, No. 5, 684-698 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 706-722 (2021). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{M. A. Botchev}, Comput. Math. Math. Phys. 61, No. 5, 684--698 (2021; Zbl 1469.65087); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 706--722 (2021) Full Text: DOI arXiv
Jian, Huan-Yan; Huang, Ting-Zhu; Gu, Xian-Ming; Zhao, Xi-Le; Zhao, Yong-Liang Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations. (English) Zbl 1524.65356 Comput. Math. Appl. 94, 136-154 (2021). MSC: 65M06 35R11 65M12 65F10 65F35 26A33 65N06 15B05 65F08 15A18 PDFBibTeX XMLCite \textit{H.-Y. Jian} et al., Comput. Math. Appl. 94, 136--154 (2021; Zbl 1524.65356) Full Text: DOI arXiv
Beik, Fatemeh P. A.; Najafi-Kalyani, Mehdi A preconditioning technique in conjunction with Krylov subspace methods for solving multilinear systems. (English) Zbl 1469.65070 Appl. Math. Lett. 116, Article ID 107051, 7 p. (2021). MSC: 65F08 65F10 15A12 PDFBibTeX XMLCite \textit{F. P. A. Beik} and \textit{M. Najafi-Kalyani}, Appl. Math. Lett. 116, Article ID 107051, 7 p. (2021; Zbl 1469.65070) Full Text: DOI
Weng, Peter Chang-Yi Solving large-scale nonsymmetric algebraic Riccati equations from two-dimensional transport models by doubling. (English) Zbl 1466.65033 J. Comput. Appl. Math. 391, Article ID 113447, 11 p. (2021). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{P. C. Y. Weng}, J. Comput. Appl. Math. 391, Article ID 113447, 11 p. (2021; Zbl 1466.65033) Full Text: DOI
Kamalvand, Mojtaba Ghasemi; Asil, Kobra Niazi The indefinite Lanczos J-biothogonalization algorithm for solving large non-J-symmetric linear systems. (English) Zbl 1487.65048 J. Korean Soc. Ind. Appl. Math. 24, No. 4, 375-385 (2020). MSC: 65F50 15A06 PDFBibTeX XMLCite \textit{M. G. Kamalvand} and \textit{K. N. Asil}, J. Korean Soc. Ind. Appl. Math. 24, No. 4, 375--385 (2020; Zbl 1487.65048) Full Text: DOI
Sadek, Lakhlifa; Talibi, Alaoui Hamad The extended block Arnoldi method for solving generalized differential Sylvester equations. (English) Zbl 1474.65113 J. Math. Model. 8, No. 2, 189-206 (2020). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{L. Sadek} and \textit{A. H. Talibi}, J. Math. Model. 8, No. 2, 189--206 (2020; Zbl 1474.65113) Full Text: DOI
Meurant, Gérard; Duintjer Tebbens, Jurjen Krylov methods for nonsymmetric linear systems. From theory to computations. (English) Zbl 1454.65002 Springer Series in Computational Mathematics 57. Cham: Springer (ISBN 978-3-030-55250-3/hbk; 978-3-030-55253-4/pbk; 978-3-030-55251-0/ebook). xiv, 686 p. (2020). MSC: 65-02 65F10 65F08 15A60 PDFBibTeX XMLCite \textit{G. Meurant} and \textit{J. Duintjer Tebbens}, Krylov methods for nonsymmetric linear systems. From theory to computations. Cham: Springer (2020; Zbl 1454.65002) Full Text: DOI
Bentbib, A. H.; El Ghomari, M.; Jbilou, K. Extended nonsymmetric global Lanczos method for matrix function approximation. (English) Zbl 1451.65057 Numer. Algorithms 84, No. 4, 1459-1479 (2020). MSC: 65F60 15A16 15A63 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., Numer. Algorithms 84, No. 4, 1459--1479 (2020; Zbl 1451.65057) Full Text: DOI
Bentbib, A. H.; El-Halouy, S.; Sadek, El M. Krylov subspace projection method for Sylvester tensor equation with low rank right-hand side. (English) Zbl 1450.65039 Numer. Algorithms 84, No. 4, 1411-1430 (2020). Reviewer: Ctirad Matonoha (Praha) MSC: 65F45 15A69 15A24 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., Numer. Algorithms 84, No. 4, 1411--1430 (2020; Zbl 1450.65039) Full Text: DOI
Aihara, Kensuke GPBi-CGstab(\(L\)): a Lanczos-type product method unifying Bi-CGstab(\(L\)) and GPBi-CG. (English) Zbl 07217206 Numer. Linear Algebra Appl. 27, No. 3, e2298, 22 p. (2020). MSC: 65F10 65F50 15A06 PDFBibTeX XMLCite \textit{K. Aihara}, Numer. Linear Algebra Appl. 27, No. 3, e2298, 22 p. (2020; Zbl 07217206) Full Text: DOI
Li, Meng; Huang, Chengming; Zhao, Yongliang Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation. (English) Zbl 1442.65168 Numer. Algorithms 84, No. 3, 1081-1119 (2020). MSC: 65M06 65N30 65M12 65F10 65F08 65T50 15B05 26A33 35R11 35Q55 PDFBibTeX XMLCite \textit{M. Li} et al., Numer. Algorithms 84, No. 3, 1081--1119 (2020; Zbl 1442.65168) Full Text: DOI
Asgari, Z.; Toutounian, F.; Babolian, E.; Tohidi, E. An extended block Golub-Kahan algorithm for large algebraic and differential matrix Riccati equations. (English) Zbl 1439.65052 Comput. Math. Appl. 79, No. 8, 2447-2457 (2020). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{Z. Asgari} et al., Comput. Math. Appl. 79, No. 8, 2447--2457 (2020; Zbl 1439.65052) Full Text: DOI
Heyouni, Mohammed; Saberi-Movahed, Farid; Tajaddini, Azita A tensor format for the generalized Hessenberg method for solving Sylvester tensor equations. (English) Zbl 1437.65024 J. Comput. Appl. Math. 377, Article ID 112878, 22 p. (2020). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{M. Heyouni} et al., J. Comput. Appl. Math. 377, Article ID 112878, 22 p. (2020; Zbl 1437.65024) Full Text: DOI
Noutsos, D.; Tachyridis, G. Band Toeplitz preconditioners for non-symmetric real Toeplitz systems by preconditioned GMRES method. (English) Zbl 1473.65029 J. Comput. Appl. Math. 373, Article ID 112250, 18 p. (2020). Reviewer: Thomas Führer (Santiago) MSC: 65F08 65F10 15B05 15A18 PDFBibTeX XMLCite \textit{D. Noutsos} and \textit{G. Tachyridis}, J. Comput. Appl. Math. 373, Article ID 112250, 18 p. (2020; Zbl 1473.65029) Full Text: DOI
Zhao, Yong-Liang; Zhu, Pei-Yong; Gu, Xian-Ming; Zhao, Xi-Le; Jian, Huan-Yan A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation. (English) Zbl 1435.65135 J. Sci. Comput. 83, No. 1, Paper No. 10, 27 p. (2020). MSC: 65M06 65H10 65F08 65F10 15B05 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{Y.-L. Zhao} et al., J. Sci. Comput. 83, No. 1, Paper No. 10, 27 p. (2020; Zbl 1435.65135) Full Text: DOI arXiv
Jia, Zhongxiao Approximation accuracy of the Krylov subspaces for linear discrete ill-posed problems. (English) Zbl 1434.65043 J. Comput. Appl. Math. 374, Article ID 112786, 25 p. (2020). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 15A18 65F10 65F20 65R32 65J20 65J22 65R30 47A52 15A29 45Q05 86A22 PDFBibTeX XMLCite \textit{Z. Jia}, J. Comput. Appl. Math. 374, Article ID 112786, 25 p. (2020; Zbl 1434.65043) Full Text: DOI arXiv
Zhang, Liping; Fan, Hung-Yuan; Chu, Eric King-Wah Krylov subspace methods for discrete-time algebraic Riccati equations. (English) Zbl 1433.65081 Appl. Numer. Math. 152, 499-510 (2020). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{L. Zhang} et al., Appl. Numer. Math. 152, 499--510 (2020; Zbl 1433.65081) Full Text: DOI
Zhang, Liping; Fan, Hung-Yuan; Chu, Eric King-wah Inheritance properties of Krylov subspace methods for continuous-time algebraic Riccati equations. (English) Zbl 1433.65080 J. Comput. Appl. Math. 371, Article ID 112685, 13 p. (2020). MSC: 65F45 15A24 93C05 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Comput. Appl. Math. 371, Article ID 112685, 13 p. (2020; Zbl 1433.65080) Full Text: DOI
Dai, Pingfei; Wu, Qingbiao; Wang, Hong; Zheng, Xiangcheng An efficient matrix splitting preconditioning technique for two-dimensional unsteady space-fractional diffusion equations. (English) Zbl 1434.65110 J. Comput. Appl. Math. 371, Article ID 112673, 16 p. (2020). MSC: 65M06 35R11 65F08 65F10 15A18 PDFBibTeX XMLCite \textit{P. Dai} et al., J. Comput. Appl. Math. 371, Article ID 112673, 16 p. (2020; Zbl 1434.65110) Full Text: DOI
Hached, M.; Jbilou, K. Numerical methods for differential linear matrix equations via Krylov subspace methods. (English) Zbl 1493.65078 J. Comput. Appl. Math. 370, Article ID 112674, 12 p. (2020). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{M. Hached} and \textit{K. Jbilou}, J. Comput. Appl. Math. 370, Article ID 112674, 12 p. (2020; Zbl 1493.65078) Full Text: DOI arXiv
Jian, Huanyan; Huang, Tingzhu; Zhao, Xile; Zhao, Yongliang Fast second-order accurate difference schemes for time distributed-order and Riesz space fractional diffusion equations. (English) Zbl 1468.65175 J. Appl. Anal. Comput. 9, No. 4, 1359-1392 (2019). MSC: 65N06 65N12 65F08 65F10 15B05 35R11 PDFBibTeX XMLCite \textit{H. Jian} et al., J. Appl. Anal. Comput. 9, No. 4, 1359--1392 (2019; Zbl 1468.65175) Full Text: DOI arXiv
Abdaoui, Ilias; Elbouyahyaoui, L.; Heyouni, Mohammed An alternative extended block Arnoldi method for solving low-rank Sylvester equations. (English) Zbl 1443.65053 Comput. Math. Appl. 78, No. 8, 2817-2830 (2019). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{I. Abdaoui} et al., Comput. Math. Appl. 78, No. 8, 2817--2830 (2019; Zbl 1443.65053) Full Text: DOI
Kressner, Daniel A Krylov subspace method for the approximation of bivariate matrix functions. (English) Zbl 1451.65050 Bini, Dario Andrea (ed.) et al., Structured matrices in numerical linear algebra. Analysis, algorithms and applications. Selected papers of the INdAM meeting on structured matrices in numerical linear algebra: analysis, algorithms and applications, Cortona, Italy, September 4–8, 2017. Cham: Springer. Springer INdAM Ser. 30, 197-214 (2019). Reviewer: Mihail Voicu (Iaşi) MSC: 65F45 15A24 15A69 PDFBibTeX XMLCite \textit{D. Kressner}, Springer INdAM Ser. 30, 197--214 (2019; Zbl 1451.65050) Full Text: DOI arXiv
Selim, Basem I.; Du, Lei; Yu, Bo; Zhu, Xuanru The GPBiCG\((m,l)\) method for solving general matrix equations. (English) Zbl 1463.65094 J. Math. Res. Appl. 39, No. 4, 408-432 (2019). MSC: 65F45 15A23 PDFBibTeX XMLCite \textit{B. I. Selim} et al., J. Math. Res. Appl. 39, No. 4, 408--432 (2019; Zbl 1463.65094) Full Text: DOI
Bai, Zhong-Zhi; Miao, Cun-Qiang Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces. (English) Zbl 1434.65031 Numer. Algorithms 82, No. 4, 1251-1277 (2019). MSC: 65F15 65F10 15A18 PDFBibTeX XMLCite \textit{Z.-Z. Bai} and \textit{C.-Q. Miao}, Numer. Algorithms 82, No. 4, 1251--1277 (2019; Zbl 1434.65031) Full Text: DOI
Li, Sheng-Kun; Huang, Ting-Zhu Restarted global FOM and GMRES algorithms for the Stein-like matrix equation \(X + \mathcal{M}(X) = C\). (English) Zbl 1429.65088 Appl. Math. Comput. 348, 206-214 (2019). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{S.-K. Li} and \textit{T.-Z. Huang}, Appl. Math. Comput. 348, 206--214 (2019; Zbl 1429.65088) Full Text: DOI
Chu, Eric King-Wah; Fan, Hung-Yuan; Zhang, Liping Projection methods for rational Riccati equations arising in stochastic optimal control. (English) Zbl 1437.65023 Ann. Math. Sci. Appl. 4, No. 2, 83-105 (2019). MSC: 65F45 15A24 93E03 PDFBibTeX XMLCite \textit{E. K. W. Chu} et al., Ann. Math. Sci. Appl. 4, No. 2, 83--105 (2019; Zbl 1437.65023) Full Text: DOI
Chou, Lot-Kei; Lei, Siu-Long Tensor-train format solution with preconditioned iterative method for high dimensional time-dependent space-fractional diffusion equations with error analysis. (English) Zbl 1428.65069 J. Sci. Comput. 80, No. 3, 1731-1763 (2019). MSC: 65N22 65F10 26A33 41A63 35R11 65M06 65F08 15B05 PDFBibTeX XMLCite \textit{L.-K. Chou} and \textit{S.-L. Lei}, J. Sci. Comput. 80, No. 3, 1731--1763 (2019; Zbl 1428.65069) Full Text: DOI
Zadeh, Najmeh Azizi; Tajaddini, Azita; Wu, Gang Weighted and deflated global GMRES algorithms for solving large Sylvester matrix equations. (English) Zbl 1420.65040 Numer. Algorithms 82, No. 1, 155-181 (2019). MSC: 65F10 65F15 15A24 65F30 PDFBibTeX XMLCite \textit{N. A. Zadeh} et al., Numer. Algorithms 82, No. 1, 155--181 (2019; Zbl 1420.65040) Full Text: DOI arXiv
Pestana, J. Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices. (English) Zbl 1420.65024 SIAM J. Matrix Anal. Appl. 40, No. 3, 870-887 (2019). MSC: 65F08 65F10 15B05 35R11 PDFBibTeX XMLCite \textit{J. Pestana}, SIAM J. Matrix Anal. Appl. 40, No. 3, 870--887 (2019; Zbl 1420.65024) Full Text: DOI arXiv
Hansen, Per Christian; Dong, Yiqiu; Abe, Kuniyoshi Hybrid enriched bidiagonalization for discrete ill-posed problems. (English) Zbl 1449.65093 Numer. Linear Algebra Appl. 26, No. 3, e2230, 9 p. (2019). MSC: 65F22 65F10 15A29 PDFBibTeX XMLCite \textit{P. C. Hansen} et al., Numer. Linear Algebra Appl. 26, No. 3, e2230, 9 p. (2019; Zbl 1449.65093) Full Text: DOI Link
Dai, Ping-fei; Wu, Qing-Biao; Zhu, Sheng-Feng Quasi-Toeplitz splitting iteration methods for unsteady space-fractional diffusion equations. (English) Zbl 1418.65097 Numer. Methods Partial Differ. Equations 35, No. 2, 699-715 (2019). MSC: 65M06 35R11 65F08 65F10 15B05 PDFBibTeX XMLCite \textit{P.-f. Dai} et al., Numer. Methods Partial Differ. Equations 35, No. 2, 699--715 (2019; Zbl 1418.65097) Full Text: DOI
Benzi, Michele; Fika, Paraskevi; Mitrouli, Marilena Graphs with absorption: numerical methods for the absorption inverse and the computation of centrality measures. (English) Zbl 1433.65065 Linear Algebra Appl. 574, 123-152 (2019). MSC: 65F20 05C81 15A09 15A23 PDFBibTeX XMLCite \textit{M. Benzi} et al., Linear Algebra Appl. 574, 123--152 (2019; Zbl 1433.65065) Full Text: DOI
Ghai, Aditi; Lu, Cao; Jiao, Xiangmin A comparison of preconditioned Krylov subspace methods for large-scale nonsymmetric linear systems. (English) Zbl 1524.65131 Numer. Linear Algebra Appl. 26, No. 1, e2215, 35 p. (2019). MSC: 65F10 65N55 65F08 15A24 PDFBibTeX XMLCite \textit{A. Ghai} et al., Numer. Linear Algebra Appl. 26, No. 1, e2215, 35 p. (2019; Zbl 1524.65131) Full Text: DOI arXiv
Cao, Shan-Mou; Feng, Wei; Wang, Zeng-Qi On a type of matrix splitting preconditioners for a class of block two-by-two linear systems. (English) Zbl 1461.65036 Appl. Math. Lett. 79, 205-210 (2018). MSC: 65F10 65F08 15A18 PDFBibTeX XMLCite \textit{S.-M. Cao} et al., Appl. Math. Lett. 79, 205--210 (2018; Zbl 1461.65036) Full Text: DOI
Kraus, Johannes; Lymbery, Maria Incomplete factorization by local exact factorization (ILUE). (English) Zbl 1482.65045 Math. Comput. Simul. 145, 50-61 (2018). MSC: 65F08 15B48 PDFBibTeX XMLCite \textit{J. Kraus} and \textit{M. Lymbery}, Math. Comput. Simul. 145, 50--61 (2018; Zbl 1482.65045) Full Text: DOI
Amini, S.; Toutounian, F. Weighted and flexible versions of block CMRH method for solving nonsymmetric linear systems with multiple right-hand sides. (English) Zbl 1442.65036 Comput. Math. Appl. 76, No. 8, 2011-2021 (2018). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{S. Amini} and \textit{F. Toutounian}, Comput. Math. Appl. 76, No. 8, 2011--2021 (2018; Zbl 1442.65036) Full Text: DOI
Abe, Kuniyoshi; Fujino, Seiji Converting BiCR method for linear equations with complex symmetric matrices. (English) Zbl 1426.65045 Appl. Math. Comput. 321, 564-576 (2018). MSC: 65F10 15B57 35J05 PDFBibTeX XMLCite \textit{K. Abe} and \textit{S. Fujino}, Appl. Math. Comput. 321, 564--576 (2018; Zbl 1426.65045) Full Text: DOI
Damm, Tobias; Sato, Kazuhiro; Vierling, Axel Numerical solution of Lyapunov equations related to Markov jump linear systems. (English) Zbl 1513.65117 Numer. Linear Algebra Appl. 25, No. 6, e2113, 14 p. (2018). MSC: 65F45 15A06 15A24 PDFBibTeX XMLCite \textit{T. Damm} et al., Numer. Linear Algebra Appl. 25, No. 6, e2113, 14 p. (2018; Zbl 1513.65117) Full Text: DOI arXiv
Li, Rui-Xia; Liang, Zhao-Zheng; Zhang, Guo-Feng; Liao, Li-Dan; Zhang, Lei A note on preconditioner for the Ohta-Kawasaki equation. (English) Zbl 1453.65066 Appl. Math. Lett. 85, 132-138 (2018). MSC: 65F08 65F10 15A18 PDFBibTeX XMLCite \textit{R.-X. Li} et al., Appl. Math. Lett. 85, 132--138 (2018; Zbl 1453.65066) Full Text: DOI
Hallman, Eric; Gu, Ming LSMB: minimizing the backward error for least-squares problems. (English) Zbl 1416.65102 SIAM J. Matrix Anal. Appl. 39, No. 3, 1295-1317 (2018). MSC: 65F20 15A06 65F10 65F50 PDFBibTeX XMLCite \textit{E. Hallman} and \textit{M. Gu}, SIAM J. Matrix Anal. Appl. 39, No. 3, 1295--1317 (2018; Zbl 1416.65102) Full Text: DOI
Estrin, Ron; Greif, Chen SPMR: A family of saddle-point minimum residual solvers. (English) Zbl 1448.65022 SIAM J. Sci. Comput. 40, No. 3, A1884-A1914 (2018). MSC: 65F10 65F08 65F25 65F50 15A06 15A18 PDFBibTeX XMLCite \textit{R. Estrin} and \textit{C. Greif}, SIAM J. Sci. Comput. 40, No. 3, A1884--A1914 (2018; Zbl 1448.65022) Full Text: DOI
Freitag, Melina A.; Kürschner, Patrick; Pestana, Jennifer GMRES convergence bounds for eigenvalue problems. (English) Zbl 1391.65065 Comput. Methods Appl. Math. 18, No. 2, 203-222 (2018). MSC: 65F10 15A18 65F08 65F15 65N25 PDFBibTeX XMLCite \textit{M. A. Freitag} et al., Comput. Methods Appl. Math. 18, No. 2, 203--222 (2018; Zbl 1391.65065) Full Text: DOI arXiv Link
Buzhabadi, R. New algorithms for solving singular linear system. (English) Zbl 1386.65105 Comput. Math. Model. 29, No. 1, 71-82 (2018). MSC: 65F10 65F20 15A09 PDFBibTeX XMLCite \textit{R. Buzhabadi}, Comput. Math. Model. 29, No. 1, 71--82 (2018; Zbl 1386.65105) Full Text: DOI
García Ramos, Luis; Nabben, Reinhard On the spectrum of deflated matrices with applications to the deflated shifted Laplace preconditioner for the Helmholtz equation. (English) Zbl 1383.65020 SIAM J. Matrix Anal. Appl. 39, No. 1, 262-286 (2018). MSC: 65F08 65F10 65N55 15A42 35J05 PDFBibTeX XMLCite \textit{L. García Ramos} and \textit{R. Nabben}, SIAM J. Matrix Anal. Appl. 39, No. 1, 262--286 (2018; Zbl 1383.65020) Full Text: DOI
Wendland, Holger Numerical linear algebra. An introduction. (English) Zbl 1386.65004 Cambridge Texts in Applied Mathematics. Cambridge: Cambridge University Press (ISBN 978-1-316-60117-4/pbk; 978-1-107-14713-3/hbk; 978-1-316-54493-8/ebook). x, 408 p. (2018). Reviewer: Liu Xinguo (Qingdao) MSC: 65-01 15-01 65Fxx PDFBibTeX XMLCite \textit{H. Wendland}, Numerical linear algebra. An introduction. Cambridge: Cambridge University Press (2018; Zbl 1386.65004) Full Text: DOI
Yang, Zhanshan; Liu, Xilan Backward perturbation analysis and relative algorithms for nonsymmetric linear systems with multiple right-hand sides. (English) Zbl 1513.65123 JP J. Algebra Number Theory Appl. 39, No. 6, 959-989 (2017). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{X. Liu}, JP J. Algebra Number Theory Appl. 39, No. 6, 959--989 (2017; Zbl 1513.65123) Full Text: DOI
Refahi Sheikhani, A. H.; Kordrostami, S. New iterative methods for generalized singular-value problems. (English) Zbl 1407.65045 Math. Sci., Springer 11, No. 4, 257-265 (2017). MSC: 65F10 65L15 15A18 PDFBibTeX XMLCite \textit{A. H. Refahi Sheikhani} and \textit{S. Kordrostami}, Math. Sci., Springer 11, No. 4, 257--265 (2017; Zbl 1407.65045) Full Text: DOI
Addam, M.; Heyouni, M.; Sadok, H. The block Hessenberg process for matrix equations. (English) Zbl 1392.65041 ETNA, Electron. Trans. Numer. Anal. 46, 460-473 (2017). MSC: 65F10 65F30 15A24 PDFBibTeX XMLCite \textit{M. Addam} et al., ETNA, Electron. Trans. Numer. Anal. 46, 460--473 (2017; Zbl 1392.65041) Full Text: Link
Lin, Xue-Lei; Ng, Michael K.; Sun, Hai-Wei A splitting preconditioner for Toeplitz-like linear systems arising from fractional diffusion equations. (English) Zbl 1381.65030 SIAM J. Matrix Anal. Appl. 38, No. 4, 1580-1614 (2017). MSC: 65F08 15B05 35K05 35R11 65F10 PDFBibTeX XMLCite \textit{X.-L. Lin} et al., SIAM J. Matrix Anal. Appl. 38, No. 4, 1580--1614 (2017; Zbl 1381.65030) Full Text: DOI
Liu, Ching-Sung; Lee, Che-Rung On the structured backward error of inexact Arnoldi methods for (skew)-Hermitian and (skew)-symmetric eigenvalue problems. (English) Zbl 1383.65031 BIT 57, No. 4, 1083-1108 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 65F10 15B48 PDFBibTeX XMLCite \textit{C.-S. Liu} and \textit{C.-R. Lee}, BIT 57, No. 4, 1083--1108 (2017; Zbl 1383.65031) Full Text: DOI
Putinar, Mihai Finite section method in a space with two norms. (English) Zbl 1380.15017 Integral Equations Oper. Theory 89, No. 3, 345-376 (2017). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 31A10 47A10 47A12 65E05 45D05 45E10 PDFBibTeX XMLCite \textit{M. Putinar}, Integral Equations Oper. Theory 89, No. 3, 345--376 (2017; Zbl 1380.15017) Full Text: DOI Link
Miao, Cun-Qiang A filtered-Davidson method for large symmetric eigenvalue problems. (English) Zbl 1373.15018 East Asian J. Appl. Math. 7, No. 1, 21-37 (2017). MSC: 15A18 65F15 65F50 34L15 65N25 PDFBibTeX XMLCite \textit{C.-Q. Miao}, East Asian J. Appl. Math. 7, No. 1, 21--37 (2017; Zbl 1373.15018) Full Text: DOI
Frommer, Andreas; Lund, Kathryn; Schweitzer, Marcel; Szyld, Daniel B. The Radau-Lanczos method for matrix functions. (English) Zbl 1371.65042 SIAM J. Matrix Anal. Appl. 38, No. 3, 710-732 (2017). MSC: 65F60 15B57 15B48 65D32 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 38, No. 3, 710--732 (2017; Zbl 1371.65042) Full Text: DOI
Ataei, Alireza; Toutounian, Faezeh GGMRES: a GMRES-type algorithm for solving singular linear equations with index one. (English) Zbl 1365.15007 J. Math. Model. 5, No. 1, 1-14 (2017). MSC: 15A06 15A09 65F10 65F50 PDFBibTeX XMLCite \textit{A. Ataei} and \textit{F. Toutounian}, J. Math. Model. 5, No. 1, 1--14 (2017; Zbl 1365.15007) Full Text: Link
Zak, Mohammad Khorsand; Toutounian, Faezeh An iterative method for solving the continuous Sylvester equation by emphasizing on the skew-Hermitian parts of the coefficient matrices. (English) Zbl 1365.65117 Int. J. Comput. Math. 94, No. 4, 633-649 (2017). MSC: 65F30 65F10 15A24 65F08 PDFBibTeX XMLCite \textit{M. K. Zak} and \textit{F. Toutounian}, Int. J. Comput. Math. 94, No. 4, 633--649 (2017; Zbl 1365.65117) Full Text: DOI
Wang, Hao; Ye, Qiang Error bounds for the Krylov subspace methods for computations of matrix exponentials. (English) Zbl 1365.65136 SIAM J. Matrix Anal. Appl. 38, No. 1, 155-187 (2017). MSC: 65F60 65F10 15A16 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Q. Ye}, SIAM J. Matrix Anal. Appl. 38, No. 1, 155--187 (2017; Zbl 1365.65136) Full Text: DOI arXiv
Zheng, Zhong; Zhang, Guo Feng A block diagonal preconditioner for generalised saddle point problems. (English) Zbl 1394.65024 East Asian J. Appl. Math. 6, No. 3, 235-252 (2016). MSC: 65F08 65F10 15A06 PDFBibTeX XMLCite \textit{Z. Zheng} and \textit{G. F. Zhang}, East Asian J. Appl. Math. 6, No. 3, 235--252 (2016; Zbl 1394.65024) Full Text: DOI
Liao, Li-Dan; Zhang, Guo-Feng Preconditioning of complex linear systems from the Helmholtz equation. (English) Zbl 1368.65052 Comput. Math. Appl. 72, No. 9, 2473-2485 (2016). MSC: 65F10 15A06 65F08 PDFBibTeX XMLCite \textit{L.-D. Liao} and \textit{G.-F. Zhang}, Comput. Math. Appl. 72, No. 9, 2473--2485 (2016; Zbl 1368.65052) Full Text: DOI
Cong, Yuhao; Li, Dongping Block Krylov subspace methods for approximating the linear combination of \(\varphi\)-functions arising in exponential integrators. (English) Zbl 1359.65069 Comput. Math. Appl. 72, No. 4, 846-855 (2016). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{Y. Cong} and \textit{D. Li}, Comput. Math. Appl. 72, No. 4, 846--855 (2016; Zbl 1359.65069) Full Text: DOI
Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef Schur complement-based domain decomposition preconditioners with low-rank corrections. (English) Zbl 1399.65238 Numer. Linear Algebra Appl. 23, No. 4, 706-729 (2016). Reviewer: Miroslav Tůma (Praha) MSC: 65M55 65F08 65F10 65F50 35J05 15A18 PDFBibTeX XMLCite \textit{R. Li} et al., Numer. Linear Algebra Appl. 23, No. 4, 706--729 (2016; Zbl 1399.65238) Full Text: DOI arXiv
Zhou, Xi; Lei, Yuan; Qiao, Wenlong A class of linear constrained matrix inequality and its least squares problem. (Chinese. English summary) Zbl 1363.65068 Math. Numer. Sin. 38, No. 2, 171-186 (2016). MSC: 65F20 15A45 65F10 65F30 PDFBibTeX XMLCite \textit{X. Zhou} et al., Math. Numer. Sin. 38, No. 2, 171--186 (2016; Zbl 1363.65068)
Campos, Carmen; Roman, Jose E. Parallel Krylov solvers for the polynomial eigenvalue problem in SLEPc. (English) Zbl 1352.65116 SIAM J. Sci. Comput. 38, No. 5, S385-S411 (2016). MSC: 65F15 65F50 65Y05 15A54 PDFBibTeX XMLCite \textit{C. Campos} and \textit{J. E. Roman}, SIAM J. Sci. Comput. 38, No. 5, S385--S411 (2016; Zbl 1352.65116) Full Text: DOI
Carlberg, Kevin; Forstall, Virginia; Tuminaro, Ray Krylov-subspace recycling via the POD-augmented conjugate-gradient method. (English) Zbl 1348.15005 SIAM J. Matrix Anal. Appl. 37, No. 3, 1304-1336 (2016). MSC: 15A12 15A18 65F10 65F15 65F50 PDFBibTeX XMLCite \textit{K. Carlberg} et al., SIAM J. Matrix Anal. Appl. 37, No. 3, 1304--1336 (2016; Zbl 1348.15005) Full Text: DOI arXiv
Shank, Stephen D.; Simoncini, Valeria; Szyld, Daniel B. Efficient low-rank solution of generalized Lyapunov equations. (English) Zbl 1348.65078 Numer. Math. 134, No. 2, 327-342 (2016). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{S. D. Shank} et al., Numer. Math. 134, No. 2, 327--342 (2016; Zbl 1348.65078) Full Text: DOI
Dopico, Froilán M.; González, Javier; Kressner, Daniel; Simoncini, Valeria Projection methods for large-scale T-Sylvester equations. (English) Zbl 1352.65127 Math. Comput. 85, No. 301, 2427-2455 (2016). Reviewer: Edgar Pereira (Natal) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., Math. Comput. 85, No. 301, 2427--2455 (2016; Zbl 1352.65127) Full Text: DOI Link
Zhang, Hong-Fan; Huang, Ting-Zhu; Wen, Chun; Shen, Zhao-Li FOM accelerated by an extrapolation method for solving PageRank problems. (English) Zbl 1336.65058 J. Comput. Appl. Math. 296, 397-409 (2016). MSC: 65F15 65F10 65F50 68P10 68U35 60J22 65C40 15A18 PDFBibTeX XMLCite \textit{H.-F. Zhang} et al., J. Comput. Appl. Math. 296, 397--409 (2016; Zbl 1336.65058) Full Text: DOI
Gu, Xian-Ming; Huang, Ting-Zhu; Carpentieri, Bruno; Li, Liang; Wen, Chun A hybridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non-Hermitian linear systems. (English) Zbl 1443.65042 Comput. Math. Appl. 70, No. 12, 3019-3031 (2015). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., Comput. Math. Appl. 70, No. 12, 3019--3031 (2015; Zbl 1443.65042) Full Text: DOI
Lei, Yuan; Liao, An-Ping; Qiao, Wen-Long Iterative methods for solving consistent or inconsistent matrix inequality \({AXB} \geqslant C\) with linear constraints. (English) Zbl 1443.65065 Appl. Math. Modelling 39, No. 14, 4151-4163 (2015). MSC: 65F99 15A39 65F10 PDFBibTeX XMLCite \textit{Y. Lei} et al., Appl. Math. Modelling 39, No. 14, 4151--4163 (2015; Zbl 1443.65065) Full Text: DOI
Li, Cui-Xia; Wu, Shi-Liang Two block triangular preconditioners for asymmetric saddle point problems. (English) Zbl 1410.65088 Appl. Math. Comput. 269, 456-463 (2015). MSC: 65F08 15A06 65F10 PDFBibTeX XMLCite \textit{C.-X. Li} and \textit{S.-L. Wu}, Appl. Math. Comput. 269, 456--463 (2015; Zbl 1410.65088) Full Text: DOI
Zhang, Jianhua; Dai, Hua A transpose-free quasi-minimal residual variant of the CORS method for solving non-Hermitian linear systems. (English) Zbl 1349.65125 J. Comput. Phys. 291, 20-33 (2015). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{H. Dai}, J. Comput. Phys. 291, 20--33 (2015; Zbl 1349.65125) Full Text: DOI
Meerbergen, Karl; Plestenjak, Bor A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. (English) Zbl 1349.65122 Numer. Linear Algebra Appl. 22, No. 6, 1131-1146 (2015). Reviewer: Edgar Pereira (Natal) MSC: 65F10 15A18 15A24 65F15 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{B. Plestenjak}, Numer. Linear Algebra Appl. 22, No. 6, 1131--1146 (2015; Zbl 1349.65122) Full Text: DOI Link
Beik, Fatemeh Panjeh Ali; Salkuyeh, Davod Khojasteh Weighted versions of Gl-FOM and Gl-GMRES for solving general coupled linear matrix equations. (English) Zbl 1341.65018 Comput. Math. Math. Phys. 55, No. 10, 1606-1618 (2015). Reviewer: Radek Kucera (Ostrava) MSC: 65F30 65F10 65F50 15A24 PDFBibTeX XMLCite \textit{F. P. A. Beik} and \textit{D. K. Salkuyeh}, Comput. Math. Math. Phys. 55, No. 10, 1606--1618 (2015; Zbl 1341.65018) Full Text: DOI
Kolesnikov, D. A.; Oseledets, I. V. From low-rank approximation to a rational Krylov subspace method for the Lyapunov equation. (English) Zbl 1327.65064 SIAM J. Matrix Anal. Appl. 36, No. 4, 1622-1637 (2015). MSC: 65F10 65F30 15A06 93B40 PDFBibTeX XMLCite \textit{D. A. Kolesnikov} and \textit{I. V. Oseledets}, SIAM J. Matrix Anal. Appl. 36, No. 4, 1622--1637 (2015; Zbl 1327.65064) Full Text: DOI arXiv