Aihara, Kensuke; Imakura, Akira; Morikuni, Keiichi Cross-interactive residual smoothing for global and block Lanczos-type solvers for linear systems with multiple right-hand sides. (English) Zbl 07579341 SIAM J. Matrix Anal. Appl. 43, No. 3, 1308-1330 (2022). MSC: 65F10 65F45 PDF BibTeX XML Cite \textit{K. Aihara} et al., SIAM J. Matrix Anal. Appl. 43, No. 3, 1308--1330 (2022; Zbl 07579341) Full Text: DOI arXiv OpenURL
Schoutrop, Chris; ten Thije Boonkkamp, Jan; van Dijk, Jan Reliability investigation of BiCGStab and IDR solvers for the advection-diffusion-reaction equation. (English) Zbl 1492.65081 Commun. Comput. Phys. 32, No. 1, 156-188 (2022). MSC: 65F10 15A06 15A18 15B05 PDF BibTeX XML Cite \textit{C. Schoutrop} et al., Commun. Comput. Phys. 32, No. 1, 156--188 (2022; Zbl 1492.65081) Full Text: DOI OpenURL
Li, Ranran; Liu, Hao On global randomized block Kaczmarz method for image reconstruction. (English) Zbl 07510642 Electron Res. Arch. 30, No. 4, 1442-1453 (2022). MSC: 68-XX 62-XX PDF BibTeX XML Cite \textit{R. Li} and \textit{H. Liu}, Electron Res. Arch. 30, No. 4, 1442--1453 (2022; Zbl 07510642) Full Text: DOI OpenURL
Hasanpour, Afsaneh; Mojarrab, Maryam A block preconditioner for the Gl-LSMR algorithm. (English) Zbl 07467889 J. Math. Model. 9, No. 3, 347-359 (2021). MSC: 65F10 65F20 PDF BibTeX XML Cite \textit{A. Hasanpour} and \textit{M. Mojarrab}, J. Math. Model. 9, No. 3, 347--359 (2021; Zbl 07467889) Full Text: DOI OpenURL
Taherian, A.; Toutounian, F. Block GPBi-CG method for solving nonsymmetric linear systems with multiple right-hand sides and its convergence analysis. (English) Zbl 1482.65055 Numer. Algorithms 88, No. 4, 1831-1850 (2021). MSC: 65F10 PDF BibTeX XML Cite \textit{A. Taherian} and \textit{F. Toutounian}, Numer. Algorithms 88, No. 4, 1831--1850 (2021; Zbl 1482.65055) Full Text: DOI OpenURL
Jelich, Christopher; Karimi, Mahmoud; Kessissoglou, Nicole; Marburg, Steffen Efficient solution of block Toeplitz systems with multiple right-hand sides arising from a periodic boundary element formulation. (English) Zbl 07371658 Eng. Anal. Bound. Elem. 130, 135-144 (2021). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{C. Jelich} et al., Eng. Anal. Bound. Elem. 130, 135--144 (2021; Zbl 07371658) Full Text: DOI Link OpenURL
Abdaoui, Ilias; Elbouyahyaoui, Lakhdar; Heyouni, Mohammed The simpler block CMRH method for linear systems. (English) Zbl 1470.65048 Numer. Algorithms 84, No. 4, 1265-1293 (2020). MSC: 65F10 PDF BibTeX XML Cite \textit{I. Abdaoui} et al., Numer. Algorithms 84, No. 4, 1265--1293 (2020; Zbl 1470.65048) Full Text: DOI OpenURL
Glandon, Ross; Tranquilli, Paul; Sandu, Adrian Biorthogonal Rosenbrock-Krylov time discretization methods. (English) Zbl 1437.65065 Appl. Numer. Math. 150, 233-251 (2020). MSC: 65L05 65L20 PDF BibTeX XML Cite \textit{R. Glandon} et al., Appl. Numer. Math. 150, 233--251 (2020; Zbl 1437.65065) Full Text: DOI arXiv OpenURL
Badahmane, A.; Bentbib, A. H.; Sadok, H. Preconditioned global Krylov subspace methods for solving saddle point problems with multiple right-hand sides. (English) Zbl 1431.65028 ETNA, Electron. Trans. Numer. Anal. 51, 495-511 (2019). MSC: 65F10 65N22 65F50 PDF BibTeX XML Cite \textit{A. Badahmane} et al., ETNA, Electron. Trans. Numer. Anal. 51, 495--511 (2019; Zbl 1431.65028) Full Text: DOI Link OpenURL
Grigori, Laura; Tissot, Olivier Scalable linear solvers based on enlarged Krylov subspaces with dynamic reduction of search directions. (English) Zbl 1425.65049 SIAM J. Sci. Comput. 41, No. 5, C522-C547 (2019). MSC: 65F10 65Y05 PDF BibTeX XML Cite \textit{L. Grigori} and \textit{O. Tissot}, SIAM J. Sci. Comput. 41, No. 5, C522--C547 (2019; Zbl 1425.65049) Full Text: DOI OpenURL
Tadano, Hiroto Development of the block BiCGGR2 method for linear systems with multiple right-hand sides. (English) Zbl 1418.65042 Japan J. Ind. Appl. Math. 36, No. 2, 563-577 (2019). MSC: 65F10 65F50 PDF BibTeX XML Cite \textit{H. Tadano}, Japan J. Ind. Appl. Math. 36, No. 2, 563--577 (2019; Zbl 1418.65042) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Amini} and \textit{F. Toutounian}, Comput. Math. Appl. 76, No. 8, 2011--2021 (2018; Zbl 1442.65036) Full Text: DOI OpenURL
Bentbib, A. H.; El Guide, M.; Jbilou, K.; Onunwor, E.; Reichel, L. Solution methods for linear discrete ill-posed problems for color image restoration. (English) Zbl 1402.65031 BIT 58, No. 3, 555-576 (2018); correction ibid. 58, No. 3, 577-578 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65F10 94A08 PDF BibTeX XML Cite \textit{A. H. Bentbib} et al., BIT 58, No. 3, 555--576 (2018; Zbl 1402.65031) Full Text: DOI OpenURL
Amini, S.; Toutounian, F.; Gachpazan, M. The block CMRH method for solving nonsymmetric linear systems with multiple right-hand sides. (English) Zbl 06866629 J. Comput. Appl. Math. 337, 166-174 (2018). MSC: 65F10 PDF BibTeX XML Cite \textit{S. Amini} et al., J. Comput. Appl. Math. 337, 166--174 (2018; Zbl 06866629) Full Text: DOI OpenURL
Fiordilino, J. A. A second order ensemble timestepping algorithm for natural convection. (English) Zbl 1448.65129 SIAM J. Numer. Anal. 56, No. 2, 816-837 (2018). MSC: 65M12 65M60 76D05 76R10 PDF BibTeX XML Cite \textit{J. A. Fiordilino}, SIAM J. Numer. Anal. 56, No. 2, 816--837 (2018; Zbl 1448.65129) Full Text: DOI arXiv OpenURL
Stachurski, Andrzej On a conjugate directions method for solving strictly convex QP problem. (English) Zbl 1387.90177 Math. Methods Oper. Res. 86, No. 3, 523-548 (2017). MSC: 90C20 65K05 90-08 65F05 PDF BibTeX XML Cite \textit{A. Stachurski}, Math. Methods Oper. Res. 86, No. 3, 523--548 (2017; Zbl 1387.90177) Full Text: DOI OpenURL
Ruthotto, Lars; Treister, Eran; Haber, Eldad jInv – a flexible Julia package for PDE parameter estimation. (English) Zbl 1373.86013 SIAM J. Sci. Comput. 39, No. 5, S702-S722 (2017). MSC: 86A22 65M32 35Q93 65Y05 PDF BibTeX XML Cite \textit{L. Ruthotto} et al., SIAM J. Sci. Comput. 39, No. 5, S702--S722 (2017; Zbl 1373.86013) Full Text: DOI arXiv OpenURL
Treister, Eran; Haber, Eldad Full waveform inversion guided by travel time tomography. (English) Zbl 1373.86014 SIAM J. Sci. Comput. 39, No. 5, S587-S609 (2017). MSC: 86A22 86A15 65M32 65N55 65N22 35Q86 35R30 PDF BibTeX XML Cite \textit{E. Treister} and \textit{E. Haber}, SIAM J. Sci. Comput. 39, No. 5, S587--S609 (2017; Zbl 1373.86014) Full Text: DOI arXiv OpenURL
Bentbib, A. H.; El Guide, M.; Jbilou, K. The block Lanczos algorithm for linear ill-posed problems. (English) Zbl 1376.65063 Calcolo 54, No. 3, 711-732 (2017). MSC: 65F22 PDF BibTeX XML Cite \textit{A. H. Bentbib} et al., Calcolo 54, No. 3, 711--732 (2017; Zbl 1376.65063) Full Text: DOI OpenURL
Ji, Hao; Li, Yaohang A breakdown-free block conjugate gradient method. (English) Zbl 1392.65057 BIT 57, No. 2, 379-403 (2017). Reviewer: Radek Kucera (Ostrava) MSC: 65F10 65F50 68W40 PDF BibTeX XML Cite \textit{H. Ji} and \textit{Y. Li}, BIT 57, No. 2, 379--403 (2017; Zbl 1392.65057) Full Text: DOI OpenURL
Mojarrab, M.; Toutounian, F. Global LSMR(Gl-LSMR) method for solving general linear systems with several right-hand sides. (English) Zbl 1366.65051 J. Comput. Appl. Math. 321, 78-89 (2017). MSC: 65F10 PDF BibTeX XML Cite \textit{M. Mojarrab} and \textit{F. Toutounian}, J. Comput. Appl. Math. 321, 78--89 (2017; Zbl 1366.65051) Full Text: DOI OpenURL
Gu, Xian-Ming; Carpentieri, Bruno; Huang, Ting-Zhu; Meng, Jing Block variants of the COCG and COCR methods for solving complex symmetric linear systems with multiple right-hand sides. (English) Zbl 1352.65106 Karasözen, Bülent (ed.) et al., Numerical mathematics and advanced applications – ENUMATH 2015. Selected papers based on the presentations at the European conference, Ankara, Turkey, September 14–18, 2015. Cham: Springer (ISBN 978-3-319-39927-0/hbk; 978-3-319-39929-4/ebook). Lecture Notes in Computational Science and Engineering 112, 305-313 (2016). MSC: 65F10 PDF BibTeX XML Cite \textit{X.-M. Gu} et al., Lect. Notes Comput. Sci. Eng. 112, 305--313 (2016; Zbl 1352.65106) Full Text: DOI arXiv OpenURL
Tohidi, Emran; Khorsand Zak, Mohammad A new matrix approach for solving second-order linear matrix partial differential equations. (English) Zbl 1350.35061 Mediterr. J. Math. 13, No. 3, 1353-1376 (2016). MSC: 35E15 35A35 65D25 65D30 65L20 35R09 PDF BibTeX XML Cite \textit{E. Tohidi} and \textit{M. Khorsand Zak}, Mediterr. J. Math. 13, No. 3, 1353--1376 (2016; Zbl 1350.35061) Full Text: DOI OpenURL
Dehghani-Madiseh, Marzieh; Dehghan, Mehdi Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation \(A(p)X=B(p)\). (English) Zbl 1356.65113 Numer. Algorithms 73, No. 1, 245-279 (2016). Reviewer: Frank Uhlig (Auburn) MSC: 65F30 65F05 65F10 65G30 PDF BibTeX XML Cite \textit{M. Dehghani-Madiseh} and \textit{M. Dehghan}, Numer. Algorithms 73, No. 1, 245--279 (2016; Zbl 1356.65113) Full Text: DOI OpenURL
Zhang, Jianhua; Dai, Hua Global GPBiCG method for complex non-Hermitian linear systems with multiple right-hand sides. (English) Zbl 1339.65051 Comput. Appl. Math. 35, No. 1, 171-185 (2016). MSC: 65F10 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{H. Dai}, Comput. Appl. Math. 35, No. 1, 171--185 (2016; Zbl 1339.65051) Full Text: DOI OpenURL
Meng, Jing; Li, Hou-Biao; Jing, Yan-Fei A new deflated block GCROT(\(m,k\)) method for the solution of linear systems with multiple right-hand sides. (English) Zbl 1382.65090 J. Comput. Appl. Math. 300, 155-171 (2016). MSC: 65F10 PDF BibTeX XML Cite \textit{J. Meng} et al., J. Comput. Appl. Math. 300, 155--171 (2016; Zbl 1382.65090) Full Text: DOI arXiv OpenURL
Rashedi, Somaiyeh; Ebadi, Ghodrat; Birk, Sebastian; Frommer, Andreas On short recurrence Krylov type methods for linear systems with many right-hand sides. (English) Zbl 1382.65092 J. Comput. Appl. Math. 300, 18-29 (2016). MSC: 65F10 65F30 65F50 65H10 PDF BibTeX XML Cite \textit{S. Rashedi} et al., J. Comput. Appl. Math. 300, 18--29 (2016; Zbl 1382.65092) Full Text: DOI arXiv OpenURL
Saito, Shusaku; Tadano, Hiroto; Imakura, Akira Development of the block BiCGSTAB(\(\ell\)) method for solving linear systems with multiple right hand sides. (English) Zbl 07037326 JSIAM Lett. 6, 65-68 (2014). MSC: 65-XX 93-XX PDF BibTeX XML Cite \textit{S. Saito} et al., JSIAM Lett. 6, 65--68 (2014; Zbl 07037326) Full Text: DOI OpenURL
Tadano, Hiroto; Ishikawa, Youichi; Imakura, Akira Improvement of the accuracy of the approximate solution of the block BiCR method. (English) Zbl 07037325 JSIAM Lett. 6, 61-64 (2014). MSC: 65-XX 90-XX PDF BibTeX XML Cite \textit{H. Tadano} et al., JSIAM Lett. 6, 61--64 (2014; Zbl 07037325) Full Text: DOI OpenURL
Li, Xin; Liu, Hao; Zhu, Jingfu MINRES seed projection methods for solving symmetric linear systems with multiple right-hand sides. (English) Zbl 1407.65043 Math. Probl. Eng. 2014, Article ID 357874, 6 p. (2014). MSC: 65F10 PDF BibTeX XML Cite \textit{X. Li} et al., Math. Probl. Eng. 2014, Article ID 357874, 6 p. (2014; Zbl 1407.65043) Full Text: DOI OpenURL
Du, Lei; Futamura, Yasunori; Sakurai, Tetsuya Block conjugate gradient type methods for the approximation of bilinear form \(C^HA^{-1}B\). (English) Zbl 1368.65050 Comput. Math. Appl. 66, No. 12, 2446-2455 (2014). MSC: 65F10 15A63 65F30 PDF BibTeX XML Cite \textit{L. Du} et al., Comput. Math. Appl. 66, No. 12, 2446--2455 (2014; Zbl 1368.65050) Full Text: DOI OpenURL
Abdel-Rehim, A. M.; Stathopoulos, Andreas; Orginos, Kostas Extending the eigCG algorithm to nonsymmetric Lanczos for linear systems with multiple right-hand sides. (English) Zbl 1340.65056 Numer. Linear Algebra Appl. 21, No. 4, 473-493 (2014). Reviewer: Ronald B. Morgan (Waco) MSC: 65F15 65F10 15A06 15A18 65F50 81V05 PDF BibTeX XML Cite \textit{A. M. Abdel-Rehim} et al., Numer. Linear Algebra Appl. 21, No. 4, 473--493 (2014; Zbl 1340.65056) Full Text: DOI arXiv OpenURL
Meng, Jing; Zhu, Pei-Yong; Li, Hou-Biao A block \(\mathrm{GCROT}(m, k)\) method for linear systems with multiple right-hand sides. (English) Zbl 1291.65105 J. Comput. Appl. Math. 255, 544-554 (2014). MSC: 65F10 PDF BibTeX XML Cite \textit{J. Meng} et al., J. Comput. Appl. Math. 255, 544--554 (2014; Zbl 1291.65105) Full Text: DOI OpenURL
Medvinsky, M.; Tsynkov, S.; Turkel, E. The method of difference potentials for the Helmholtz equation using compact high order schemes. (English) Zbl 1254.65118 J. Sci. Comput. 53, No. 1, 150-193 (2012); erratum ibid. 53, No. 2, 482 (2012). MSC: 65N06 PDF BibTeX XML Cite \textit{M. Medvinsky} et al., J. Sci. Comput. 53, No. 1, 150--193 (2012; Zbl 1254.65118) Full Text: DOI OpenURL
Lin, Yiqin; Li, Wenbo; Bao, Liang; Wu, Qinghua On the block GMRES method with deflated restarting. (English) Zbl 1298.65060 Appl. Math. Comput. 218, No. 5, 2146-2154 (2011). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65F10 PDF BibTeX XML Cite \textit{Y. Lin} et al., Appl. Math. Comput. 218, No. 5, 2146--2154 (2011; Zbl 1298.65060) Full Text: DOI OpenURL
Zhang, Jianhua; Dai, Hua; Zhao, Jing A new family of global methods for linear systems with multiple right-hand sides. (English) Zbl 1252.65072 J. Comput. Appl. Math. 236, No. 6, 1562-1575 (2011). MSC: 65F10 PDF BibTeX XML Cite \textit{J. Zhang} et al., J. Comput. Appl. Math. 236, No. 6, 1562--1575 (2011; Zbl 1252.65072) Full Text: DOI OpenURL
Du, L.; Sogabe, T.; Yu, B.; Yamamoto, Y.; Zhang, S.-L. A block IDR\((s)\) method for nonsymmetric linear systems with multiple right-hand sides. (English) Zbl 1219.65037 J. Comput. Appl. Math. 235, No. 14, 4095-4106 (2011). MSC: 65F10 PDF BibTeX XML Cite \textit{L. Du} et al., J. Comput. Appl. Math. 235, No. 14, 4095--4106 (2011; Zbl 1219.65037) Full Text: DOI OpenURL
Hashemi, Behnam; Dehghan, Mehdi Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation \(AX=B\). (English) Zbl 1221.65087 J. Comput. Appl. Math. 235, No. 9, 2969-2978 (2011). Reviewer: Günter Mayer (Rostock) MSC: 65F05 65G30 15A24 PDF BibTeX XML Cite \textit{B. Hashemi} and \textit{M. Dehghan}, J. Comput. Appl. Math. 235, No. 9, 2969--2978 (2011; Zbl 1221.65087) Full Text: DOI OpenURL
Chronopoulos, Anthony T.; Kucherov, Andrey B. Block-\(s\)-step Krylov iterative methods. (English) Zbl 1240.65107 Numer. Linear Algebra Appl. 17, No. 1, 3-15 (2010). MSC: 65F10 65Y05 PDF BibTeX XML Cite \textit{A. T. Chronopoulos} and \textit{A. B. Kucherov}, Numer. Linear Algebra Appl. 17, No. 1, 3--15 (2010; Zbl 1240.65107) Full Text: DOI OpenURL
Sakurai, T.; Tadano, H.; Kuramashi, Y. Application of block Krylov subspace algorithms to the Wilson-Dirac equation with multiple right-hand sides in lattice QCD. (English) Zbl 1205.81131 Comput. Phys. Commun. 181, No. 1, 113-117 (2010). MSC: 81V05 81T25 81T13 81T80 PDF BibTeX XML Cite \textit{T. Sakurai} et al., Comput. Phys. Commun. 181, No. 1, 113--117 (2010; Zbl 1205.81131) Full Text: DOI arXiv OpenURL
Sleijpen, Gerard L. G.; Sonneveld, Peter; van Gijzen, Martin B. Bi-CGSTAB as an induced dimension reduction method. (English) Zbl 1200.65024 Appl. Numer. Math. 60, No. 11, 1100-1114 (2010). MSC: 65F10 65F15 65N25 PDF BibTeX XML Cite \textit{G. L. G. Sleijpen} et al., Appl. Numer. Math. 60, No. 11, 1100--1114 (2010; Zbl 1200.65024) Full Text: DOI OpenURL
Zhang, Jianhua; Dai, Hua; Zhao, Jing Generalized global conjugate gradient squared algorithm. (English) Zbl 1195.65043 Appl. Math. Comput. 216, No. 12, 3694-3706 (2010). MSC: 65F10 PDF BibTeX XML Cite \textit{J. Zhang} et al., Appl. Math. Comput. 216, No. 12, 3694--3706 (2010; Zbl 1195.65043) Full Text: DOI OpenURL
Gu, Chuanqing; Yang, Zhenxin Global SCD algorithm for real positive definite linear systems with multiple right-hand sides. (English) Zbl 1132.65021 Appl. Math. Comput. 189, No. 1, 59-67 (2007). Reviewer: Raffaella Pavani (Milano) MSC: 65F10 PDF BibTeX XML Cite \textit{C. Gu} and \textit{Z. Yang}, Appl. Math. Comput. 189, No. 1, 59--67 (2007; Zbl 1132.65021) Full Text: DOI OpenURL
Toutounian, F.; Karimi, S. Global least squares method (Gl-LSQR) for solving general linear systems with several right-hand sides. (English) Zbl 1100.65039 Appl. Math. Comput. 178, No. 2, 452-460 (2006). MSC: 65F20 65F50 PDF BibTeX XML Cite \textit{F. Toutounian} and \textit{S. Karimi}, Appl. Math. Comput. 178, No. 2, 452--460 (2006; Zbl 1100.65039) Full Text: DOI OpenURL
Bouyouli, R.; Jbilou, K.; Sadaka, R.; Sadok, H. Convergence properties of some block Krylov subspace methods for multiple linear systems. (English) Zbl 1100.65024 J. Comput. Appl. Math. 196, No. 2, 498-511 (2006). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65F10 PDF BibTeX XML Cite \textit{R. Bouyouli} et al., J. Comput. Appl. Math. 196, No. 2, 498--511 (2006; Zbl 1100.65024) Full Text: DOI OpenURL
Karimi, S.; Toutounian, F. The block least squares method for solving nonsymmetric linear systems with multiple right-hand sides. (English) Zbl 1096.65040 Appl. Math. Comput. 177, No. 2, 852-862 (2006). MSC: 65F20 65F10 PDF BibTeX XML Cite \textit{S. Karimi} and \textit{F. Toutounian}, Appl. Math. Comput. 177, No. 2, 852--862 (2006; Zbl 1096.65040) Full Text: DOI OpenURL
El Guennouni, A.; Jbilou, K.; Sadok, H. The block Lanczos method for linear systems with multiple right-hand sides. (English) Zbl 1059.65026 Appl. Numer. Math. 51, No. 2-3, 243-256 (2004). Reviewer: Dietrich Braess (Bochum) MSC: 65F10 PDF BibTeX XML Cite \textit{A. El Guennouni} et al., Appl. Numer. Math. 51, No. 2--3, 243--256 (2004; Zbl 1059.65026) Full Text: DOI OpenURL