Jia, ZhiGang; Ng, Michael K. Structure preserving quaternion generalized minimal residual method. (English) Zbl 1468.65030 SIAM J. Matrix Anal. Appl. 42, No. 2, 616-634 (2021). MSC: 65F10 94A08 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{M. K. Ng}, SIAM J. Matrix Anal. Appl. 42, No. 2, 616--634 (2021; Zbl 1468.65030) Full Text: DOI
Gower, Robert M.; Richtárik, Peter Randomized quasi-Newton updates are linearly convergent matrix inversion algorithms. (English) Zbl 1379.65016 SIAM J. Matrix Anal. Appl. 38, No. 4, 1380-1409 (2017). MSC: 65F05 65F10 65F08 PDFBibTeX XMLCite \textit{R. M. Gower} and \textit{P. Richtárik}, SIAM J. Matrix Anal. Appl. 38, No. 4, 1380--1409 (2017; Zbl 1379.65016) Full Text: DOI arXiv
Morikuni, Keiichi; Hayami, Ken Convergence of inner-iteration GMRES methods for rank-deficient least squares problems. (English) Zbl 1315.65041 SIAM J. Matrix Anal. Appl. 36, No. 1, 225-250 (2015). MSC: 65F20 65F08 65F10 PDFBibTeX XMLCite \textit{K. Morikuni} and \textit{K. Hayami}, SIAM J. Matrix Anal. Appl. 36, No. 1, 225--250 (2015; Zbl 1315.65041) Full Text: DOI
Agullo, E.; Giraud, L.; Jing, Y.-F. Block GMRES method with inexact breakdowns and deflated restarting. (English) Zbl 1355.65051 SIAM J. Matrix Anal. Appl. 35, No. 4, 1625-1651 (2014). Reviewer: Radek Kucera (Ostrava) MSC: 65F10 PDFBibTeX XMLCite \textit{E. Agullo} et al., SIAM J. Matrix Anal. Appl. 35, No. 4, 1625--1651 (2014; Zbl 1355.65051) Full Text: DOI HAL
Faber, Vance; Liesen, Jörg; Tichý, Petr Properties of worst-case GMRES. (English) Zbl 1291.65096 SIAM J. Matrix Anal. Appl. 34, No. 4, 1500-1519 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 PDFBibTeX XMLCite \textit{V. Faber} et al., SIAM J. Matrix Anal. Appl. 34, No. 4, 1500--1519 (2013; Zbl 1291.65096) Full Text: DOI arXiv
Sifuentes, Josef A.; Embree, Mark; Morgan, Ronald B. GMRES convergence for perturbed coefficient matrices, with application to approximate deflation preconditioning. (English) Zbl 1314.65051 SIAM J. Matrix Anal. Appl. 34, No. 3, 1066-1088 (2013). MSC: 65F10 65F08 PDFBibTeX XMLCite \textit{J. A. Sifuentes} et al., SIAM J. Matrix Anal. Appl. 34, No. 3, 1066--1088 (2013; Zbl 1314.65051) Full Text: DOI Link
Morikuni, Keiichi; Hayami, Ken Inner-iteration Krylov subspace methods for least squares problems. (English) Zbl 1269.65039 SIAM J. Matrix Anal. Appl. 34, No. 1, 1-22 (2013). MSC: 65F20 65F08 65F10 65F50 PDFBibTeX XMLCite \textit{K. Morikuni} and \textit{K. Hayami}, SIAM J. Matrix Anal. Appl. 34, No. 1, 1--22 (2013; Zbl 1269.65039) Full Text: DOI Link
Tebbens, Jurjen Duintjer; Meurant, Gérard Any Ritz value behavior is possible for Arnoldi and for GMRES. (English) Zbl 1266.65060 SIAM J. Matrix Anal. Appl. 33, No. 3, 958-978 (2012). Reviewer: Jiguang Sun (Dover) MSC: 65F15 65F10 65F25 PDFBibTeX XMLCite \textit{J. D. Tebbens} and \textit{G. Meurant}, SIAM J. Matrix Anal. Appl. 33, No. 3, 958--978 (2012; Zbl 1266.65060) Full Text: DOI Link
Hayami, Ken; Yin, Jun-Feng; Ito, Tokushi GMRES methods for least squares problems. (English) Zbl 1215.65071 SIAM J. Matrix Anal. Appl. 31, No. 5, 2400-2430 (2010). Reviewer: R. Militaru (Craiova) MSC: 65F20 65F10 65F50 PDFBibTeX XMLCite \textit{K. Hayami} et al., SIAM J. Matrix Anal. Appl. 31, No. 5, 2400--2430 (2010; Zbl 1215.65071) Full Text: DOI Link
Jiránek, Pavel; Rozložník, Miroslav; Gutknecht, Martin H. How to make simpler GMRES and GCR more stable. (English) Zbl 1176.65036 SIAM J. Matrix Anal. Appl. 30, No. 4, 1483-1499 (2008). MSC: 65F10 65F35 65G50 PDFBibTeX XMLCite \textit{P. Jiránek} et al., SIAM J. Matrix Anal. Appl. 30, No. 4, 1483--1499 (2008; Zbl 1176.65036) Full Text: DOI
Erlangga, Yogi A.; Nabben, Reinhard Deflation and balancing preconditioners for Krylov subspace methods applied to nonsymmetric matrices. (English) Zbl 1163.65014 SIAM J. Matrix Anal. Appl. 30, No. 2, 684-699 (2008). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65F10 65F50 65N22 65N55 PDFBibTeX XMLCite \textit{Y. A. Erlangga} and \textit{R. Nabben}, SIAM J. Matrix Anal. Appl. 30, No. 2, 684--699 (2008; Zbl 1163.65014) Full Text: DOI Link
Beckermann, Bernhard; Reichel, Lothar The Arnoldi process and GMRES for nearly symmetric matrices. (English) Zbl 1165.65009 SIAM J. Matrix Anal. Appl. 30, No. 1, 102-120 (2008). Reviewer: R. Militaru (Craiova) MSC: 65F10 65F15 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{L. Reichel}, SIAM J. Matrix Anal. Appl. 30, No. 1, 102--120 (2008; Zbl 1165.65009) Full Text: DOI
Beckermann, B.; Goreinov, S. A.; Tyrtyshnikov, E. E. Some remarks on the Elman estimate for GMRES. (English) Zbl 1101.65032 SIAM J. Matrix Anal. Appl. 27, No. 3, 772-778 (2006). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 PDFBibTeX XMLCite \textit{B. Beckermann} et al., SIAM J. Matrix Anal. Appl. 27, No. 3, 772--778 (2006; Zbl 1101.65032) Full Text: DOI
Reichel, Lothar; Ye, Qiang Breakdown-free GMRES for singular systems. (English) Zbl 1086.65030 SIAM J. Matrix Anal. Appl. 26, No. 4, 1001-1021 (2005). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F10 65F20 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{Q. Ye}, SIAM J. Matrix Anal. Appl. 26, No. 4, 1001--1021 (2005; Zbl 1086.65030) Full Text: DOI
Baker, A. H.; Jessup, E. R.; Manteuffel, T. A technique for accelerating the convergence of restarted GMRES. (English) Zbl 1086.65025 SIAM J. Matrix Anal. Appl. 26, No. 4, 962-984 (2005). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F10 PDFBibTeX XMLCite \textit{A. H. Baker} et al., SIAM J. Matrix Anal. Appl. 26, No. 4, 962--984 (2005; Zbl 1086.65025) Full Text: DOI
Liesen, J.; Strakos, Z. Convergence of GMRES for tridiagonal Toeplitz matrices. (English) Zbl 1079.65031 SIAM J. Matrix Anal. Appl. 26, No. 1, 233-251 (2004). Reviewer: Dietrich Braess (Bochum) MSC: 65F10 65F50 PDFBibTeX XMLCite \textit{J. Liesen} and \textit{Z. Strakos}, SIAM J. Matrix Anal. Appl. 26, No. 1, 233--251 (2004; Zbl 1079.65031) Full Text: DOI
Meerbergen, Karl The solution of parametrized symmetric linear systems. (English) Zbl 1044.65029 SIAM J. Matrix Anal. Appl. 24, No. 4, 1038-1059 (2003). Reviewer: Horst Hollatz (Magdeburg) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{K. Meerbergen}, SIAM J. Matrix Anal. Appl. 24, No. 4, 1038--1059 (2003; Zbl 1044.65029) Full Text: DOI
Chan, Raymond H.; Potts, Daniel; Steidl, Gabriele Preconditioners for nondefinite Hermitian Toeplitz systems. (English) Zbl 0983.65043 SIAM J. Matrix Anal. Appl. 22, No. 3, 647-665 (2001). Reviewer: Krassimir Georgiev (Sofia) MSC: 65F10 65F35 65Y20 65T50 PDFBibTeX XMLCite \textit{R. H. Chan} et al., SIAM J. Matrix Anal. Appl. 22, No. 3, 647--665 (2000; Zbl 0983.65043) Full Text: DOI
Knizhnerman, Leonid On GMRES-equivalent bounded operators. (English) Zbl 0982.65071 SIAM J. Matrix Anal. Appl. 22, No. 1, 195-212 (2000). Reviewer: Ulrich Langer (Linz) MSC: 65J10 65F10 47A50 PDFBibTeX XMLCite \textit{L. Knizhnerman}, SIAM J. Matrix Anal. Appl. 22, No. 1, 195--212 (2000; Zbl 0982.65071) Full Text: DOI
Morgan, Ronald B. Implicitly restarted GMRES and Arnoldi methods for nonsymmetric systems of equations. (English) Zbl 0963.65038 SIAM J. Matrix Anal. Appl. 21, No. 4, 1112-1135 (2000). Reviewer: George Csordas (Honolulu) MSC: 65F10 65F25 PDFBibTeX XMLCite \textit{R. B. Morgan}, SIAM J. Matrix Anal. Appl. 21, No. 4, 1112--1135 (2000; Zbl 0963.65038) Full Text: DOI
Liesen, Jörg Computable convergence bounds for GMRES. (English) Zbl 0958.65036 SIAM J. Matrix Anal. Appl. 21, No. 3, 882-903 (2000). Reviewer: Ulrich Langer (Linz) MSC: 65F10 PDFBibTeX XMLCite \textit{J. Liesen}, SIAM J. Matrix Anal. Appl. 21, No. 3, 882--903 (2000; Zbl 0958.65036) Full Text: DOI
Brown, Peter N.; Walker, Homer F. GMRES on (nearly) singular systems. (English) Zbl 0876.65019 SIAM J. Matrix Anal. Appl. 18, No. 1, 37-51 (1997). Reviewer: K.Zlateva (Russe) MSC: 65F10 65F20 PDFBibTeX XMLCite \textit{P. N. Brown} and \textit{H. F. Walker}, SIAM J. Matrix Anal. Appl. 18, No. 1, 37--51 (1997; Zbl 0876.65019) Full Text: DOI
Faber, V.; Joubert, W.; Knill, E.; Manteuffel, T. Minimal residual method stronger than polynomial preconditioning. (English) Zbl 0862.65019 SIAM J. Matrix Anal. Appl. 17, No. 4, 707-729 (1996). Reviewer: K.Georgiev (Sofia) MSC: 65F10 65F35 PDFBibTeX XMLCite \textit{V. Faber} et al., SIAM J. Matrix Anal. Appl. 17, No. 4, 707--729 (1996; Zbl 0862.65019) Full Text: DOI
Greenbaum, Anne; Pták, Vlastimil; Strakoš, Zdeněk Any nonincreasing convergence curve is possible for GMRES. (English) Zbl 0857.65029 SIAM J. Matrix Anal. Appl. 17, No. 3, 465-469 (1996). Reviewer: Myron Sussman (Bethel Park) MSC: 65F10 PDFBibTeX XMLCite \textit{A. Greenbaum} et al., SIAM J. Matrix Anal. Appl. 17, No. 3, 465--469 (1996; Zbl 0857.65029) Full Text: DOI
Rusten, Torgeir; Winther, Ragnar A preconditioned iterative method for saddlepoint problems. (English) Zbl 0760.65033 SIAM J. Matrix Anal. Appl. 13, No. 3, 887-904 (1992). Reviewer: U.Langer (Chemnitz) MSC: 65F10 65N30 65F35 35J25 35Q30 PDFBibTeX XMLCite \textit{T. Rusten} and \textit{R. Winther}, SIAM J. Matrix Anal. Appl. 13, No. 3, 887--904 (1992; Zbl 0760.65033) Full Text: DOI