Jing, Yan-Fei; Yuan, Pei; Huang, Ting-Zhu A simpler GMRES and its adaptive variant for shifted linear systems. (English) Zbl 1413.65063 Numer. Linear Algebra Appl. 24, No. 1, e2076, 7 p. (2017). Reviewer: Miroslav Rozloznik MSC: 65F10 65G50 65F35 PDFBibTeX XMLCite \textit{Y.-F. Jing} et al., Numer. Linear Algebra Appl. 24, No. 1, e2076, 7 p. (2017; Zbl 1413.65063) Full Text: DOI
Gratton, Serge; Mercier, Sylvain; Tardieu, Nicolas; Vasseur, Xavier Limited memory preconditioners for symmetric indefinite problems with application to structural mechanics. (English) Zbl 1413.65041 Numer. Linear Algebra Appl. 23, No. 5, 865-887 (2016). MSC: 65F08 74S30 PDFBibTeX XMLCite \textit{S. Gratton} et al., Numer. Linear Algebra Appl. 23, No. 5, 865--887 (2016; Zbl 1413.65041) Full Text: DOI
Van Beeumen, Roel; Jarlebring, Elias; Michiels, Wim A rank-exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problems. (English) Zbl 1413.65105 Numer. Linear Algebra Appl. 23, No. 4, 607-628 (2016). MSC: 65F15 65H17 PDFBibTeX XMLCite \textit{R. Van Beeumen} et al., Numer. Linear Algebra Appl. 23, No. 4, 607--628 (2016; Zbl 1413.65105) Full Text: DOI Link
Martínez, Ángeles Tuned preconditioners for the eigensolution of large SPD matrices arising in engineering problems. (English) Zbl 1413.65101 Numer. Linear Algebra Appl. 23, No. 3, 427-443 (2016). MSC: 65F15 65F08 PDFBibTeX XMLCite \textit{Á. Martínez}, Numer. Linear Algebra Appl. 23, No. 3, 427--443 (2016; Zbl 1413.65101) Full Text: DOI
Mehrmann, Volker; Poloni, Federico An inverse-free ADI algorithm for computing Lagrangian invariant subspaces. (English) Zbl 1438.65079 Numer. Linear Algebra Appl. 23, No. 1, 147-168 (2016). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 65F45 65F55 PDFBibTeX XMLCite \textit{V. Mehrmann} and \textit{F. Poloni}, Numer. Linear Algebra Appl. 23, No. 1, 147--168 (2016; Zbl 1438.65079) Full Text: DOI Link
Farrell, Patricio; Pestana, Jennifer Block preconditioners for linear systems arising from multiscale collocation with compactly supported RBFs. (English) Zbl 1363.65042 Numer. Linear Algebra Appl. 22, No. 4, 731-747 (2015). MSC: 65F08 65F10 65N35 65N55 35J25 PDFBibTeX XMLCite \textit{P. Farrell} and \textit{J. Pestana}, Numer. Linear Algebra Appl. 22, No. 4, 731--747 (2015; Zbl 1363.65042) Full Text: DOI Link
Wu, Shi-Liang Several variants of the Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems. (English) Zbl 1363.65055 Numer. Linear Algebra Appl. 22, No. 2, 338-356 (2015). MSC: 65F10 PDFBibTeX XMLCite \textit{S.-L. Wu}, Numer. Linear Algebra Appl. 22, No. 2, 338--356 (2015; Zbl 1363.65055) Full Text: DOI
Freitag, Melina A.; Kürschner, Patrick Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration. (English) Zbl 1363.65061 Numer. Linear Algebra Appl. 22, No. 1, 175-196 (2015). MSC: 65F15 65F08 PDFBibTeX XMLCite \textit{M. A. Freitag} and \textit{P. Kürschner}, Numer. Linear Algebra Appl. 22, No. 1, 175--196 (2015; Zbl 1363.65061) Full Text: DOI Link
Grigori, Laura; Nataf, Frédéric; Qu, Long Overlapping for preconditioners based on incomplete factorizations and nested arrow form. (English) Zbl 1363.65044 Numer. Linear Algebra Appl. 22, No. 1, 48-75 (2015). MSC: 65F08 65F10 65N55 PDFBibTeX XMLCite \textit{L. Grigori} et al., Numer. Linear Algebra Appl. 22, No. 1, 48--75 (2015; Zbl 1363.65044) Full Text: DOI
van Gijzen, Martin B.; Sleijpen, Gerard L. G.; Zemke, Jens-Peter M. Flexible and multi-shift induced dimension reduction algorithms for solving large sparse linear systems. (English) Zbl 1363.65058 Numer. Linear Algebra Appl. 22, No. 1, 1-25 (2015). MSC: 65F10 65F50 PDFBibTeX XMLCite \textit{M. B. van Gijzen} et al., Numer. Linear Algebra Appl. 22, No. 1, 1--25 (2015; Zbl 1363.65058) Full Text: DOI Link
Cools, Siegfried; Reps, Bram; Vanroose, Wim A new level-dependent coarse grid correction scheme for indefinite Helmholtz problems. (English) Zbl 1340.65294 Numer. Linear Algebra Appl. 21, No. 4, 513-533 (2014). MSC: 65N55 65N22 65F10 65F08 35J05 65N15 PDFBibTeX XMLCite \textit{S. Cools} et al., Numer. Linear Algebra Appl. 21, No. 4, 513--533 (2014; Zbl 1340.65294) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. M. Abdel-Rehim} et al., Numer. Linear Algebra Appl. 21, No. 4, 473--493 (2014; Zbl 1340.65056) Full Text: DOI arXiv
Calandra, Henri; Gratton, Serge; Pinel, Xavier; Vasseur, Xavier An improved two-grid preconditioner for the solution of three-dimensional Helmholtz problems in heterogeneous media. (English) Zbl 1313.65284 Numer. Linear Algebra Appl. 20, No. 4, 663-688 (2013). Reviewer: David Horák (Ostrava) MSC: 65N06 65F08 65N22 65N55 35J05 65N12 PDFBibTeX XMLCite \textit{H. Calandra} et al., Numer. Linear Algebra Appl. 20, No. 4, 663--688 (2013; Zbl 1313.65284) Full Text: DOI
Cools, Siegfried; Vanroose, Wim Local Fourier analysis of the complex shifted Laplacian preconditioner for Helmholtz problems. (English) Zbl 1313.65320 Numer. Linear Algebra Appl. 20, No. 4, 575-597 (2013). Reviewer: Francisco José Gaspar (Zaragoza) MSC: 65N55 65F10 65N22 35J05 65N12 PDFBibTeX XMLCite \textit{S. Cools} and \textit{W. Vanroose}, Numer. Linear Algebra Appl. 20, No. 4, 575--597 (2013; Zbl 1313.65320) Full Text: DOI arXiv Link
Bai, Zhong-Zhi; Zhang, Li-Li Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. (English) Zbl 1313.65131 Numer. Linear Algebra Appl. 20, No. 3, 425-439 (2013). MSC: 65K05 65F10 90C33 65Y05 65Y20 PDFBibTeX XMLCite \textit{Z.-Z. Bai} and \textit{L.-L. Zhang}, Numer. Linear Algebra Appl. 20, No. 3, 425--439 (2013; Zbl 1313.65131) Full Text: DOI
Renaut, Rosemary A.; Lin, Youzuo; Guo, Hongbin Multisplitting for regularized least squares with Krylov subspace recycling. (English) Zbl 1274.65117 Numer. Linear Algebra Appl. 19, No. 4, 655-676 (2012). Reviewer: Iveta Hnětýnková (Praha) MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{R. A. Renaut} et al., Numer. Linear Algebra Appl. 19, No. 4, 655--676 (2012; Zbl 1274.65117) Full Text: DOI
Zhang, Yong; Huang, Ting-Zhu; Jing, Yan-Fei; Li, Liang Flexible incomplete Cholesky factorization with multi-parameters to control the number of nonzero elements in preconditioners. (English) Zbl 1274.65088 Numer. Linear Algebra Appl. 19, No. 3, 555-569 (2012). MSC: 65F08 65F10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Numer. Linear Algebra Appl. 19, No. 3, 555--569 (2012; Zbl 1274.65088) Full Text: DOI
Howle, Victoria E.; Kirby, Robert C. Block preconditioners for finite element discretization of incompressible flow with thermal convection. (English) Zbl 1274.76190 Numer. Linear Algebra Appl. 19, No. 2, 427-440 (2012). MSC: 76D05 76M10 65N30 65F08 65N55 PDFBibTeX XMLCite \textit{V. E. Howle} and \textit{R. C. Kirby}, Numer. Linear Algebra Appl. 19, No. 2, 427--440 (2012; Zbl 1274.76190) Full Text: DOI
Benzi, M.; Kuhlemann, V. Restricted additive Schwarz methods for Markov chains. (English) Zbl 1265.60146 Numer. Linear Algebra Appl. 18, No. 6, 1011-1029 (2011). MSC: 60J22 PDFBibTeX XMLCite \textit{M. Benzi} and \textit{V. Kuhlemann}, Numer. Linear Algebra Appl. 18, No. 6, 1011--1029 (2011; Zbl 1265.60146) Full Text: DOI Link
De Sterck, H.; Miller, K.; Treister, E.; Yavneh, I. Fast multilevel methods for Markov chains. (English) Zbl 1265.65009 Numer. Linear Algebra Appl. 18, No. 6, 961-980 (2011). Reviewer: Ivana Pultarová (Praha) MSC: 65C40 60J22 PDFBibTeX XMLCite \textit{H. De Sterck} et al., Numer. Linear Algebra Appl. 18, No. 6, 961--980 (2011; Zbl 1265.65009) Full Text: DOI
Sidje, R. B. Inexact uniformization and GMRES methods for large Markov chains. (English) Zbl 1265.65011 Numer. Linear Algebra Appl. 18, No. 6, 947-960 (2011). MSC: 65C40 60J22 PDFBibTeX XMLCite \textit{R. B. Sidje}, Numer. Linear Algebra Appl. 18, No. 6, 947--960 (2011; Zbl 1265.65011) Full Text: DOI
Collignon, Tijmen P.; van Gijzen, Martin B. Minimizing synchronization in \(\text{IDR}(s)\). (English) Zbl 1249.65066 Numer. Linear Algebra Appl. 18, No. 5, 805-825 (2011). MSC: 65F10 65Y05 65N06 65Y20 PDFBibTeX XMLCite \textit{T. P. Collignon} and \textit{M. B. van Gijzen}, Numer. Linear Algebra Appl. 18, No. 5, 805--825 (2011; Zbl 1249.65066) Full Text: DOI
Vecharynski, Eugene; Langou, Julien Any admissible cycle-convergence behavior is possible for restarted GMRES at its initial cycles. (English) Zbl 1249.65073 Numer. Linear Algebra Appl. 18, No. 3, 499-511 (2011). Reviewer: J. Duintjer Tebbens (Praha) MSC: 65F10 PDFBibTeX XMLCite \textit{E. Vecharynski} and \textit{J. Langou}, Numer. Linear Algebra Appl. 18, No. 3, 499--511 (2011; Zbl 1249.65073) Full Text: DOI arXiv
Cao, Guangxi; Song, Yongzhong Semiconvergence of parallel multisplitting methods for symmetric positive semidefinite linear systems. (English) Zbl 1249.65064 Numer. Linear Algebra Appl. 18, No. 3, 317-324 (2011). Reviewer: David Horák (Ostrava) MSC: 65F10 65Y05 PDFBibTeX XMLCite \textit{G. Cao} and \textit{Y. Song}, Numer. Linear Algebra Appl. 18, No. 3, 317--324 (2011; Zbl 1249.65064) Full Text: DOI
Guo, Xue-Ping; Duff, Iain S. Semilocal and global convergence of the Newton-HSS method for systems of nonlinear equations. (English) Zbl 1249.65116 Numer. Linear Algebra Appl. 18, No. 3, 299-315 (2011). Reviewer: Ctirad Matonoha (Praha) MSC: 65H10 PDFBibTeX XMLCite \textit{X.-P. Guo} and \textit{I. S. Duff}, Numer. Linear Algebra Appl. 18, No. 3, 299--315 (2011; Zbl 1249.65116) Full Text: DOI
Hamilton, Steven; Benzi, Michele; Haber, Eldad New multigrid smoothers for the Oseen problem. (English) Zbl 1240.76003 Numer. Linear Algebra Appl. 17, No. 2-3, 557-576 (2010). Reviewer: Jaroslav Hron (Praha) MSC: 76D07 76M25 65N55 65F10 65F08 PDFBibTeX XMLCite \textit{S. Hamilton} et al., Numer. Linear Algebra Appl. 17, No. 2--3, 557--576 (2010; Zbl 1240.76003) Full Text: DOI
Duintjer Tebbens, Jurjen; Tůma, Miroslav Preconditioner updates for solving sequences of linear systems in matrix-free environment. (English) Zbl 1240.65092 Numer. Linear Algebra Appl. 17, No. 6, 997-1019 (2010). MSC: 65F08 65F10 05C15 PDFBibTeX XMLCite \textit{J. Duintjer Tebbens} and \textit{M. Tůma}, Numer. Linear Algebra Appl. 17, No. 6, 997--1019 (2010; Zbl 1240.65092) Full Text: DOI
Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria Solution of linear systems from an optimal control problem arising in wind simulation. (English) Zbl 1240.65194 Numer. Linear Algebra Appl. 17, No. 6, 895-915 (2010). MSC: 65K10 65F10 65F08 65F05 49M30 65F50 76G25 76M10 49J20 PDFBibTeX XMLCite \textit{M. Benzi} et al., Numer. Linear Algebra Appl. 17, No. 6, 895--915 (2010; Zbl 1240.65194) Full Text: DOI Link
Knizhnerman, L.; Simoncini, V. A new investigation of the extended Krylov subspace method for matrix function evaluations. (English) Zbl 1240.65154 Numer. Linear Algebra Appl. 17, No. 4, 615-638 (2010). MSC: 65F60 65F10 65F50 PDFBibTeX XMLCite \textit{L. Knizhnerman} and \textit{V. Simoncini}, Numer. Linear Algebra Appl. 17, No. 4, 615--638 (2010; Zbl 1240.65154) Full Text: DOI
Zhang, Naimin; Wei, Yi-Min On the convergence of general stationary iterative methods for range-Hermitian singular linear systems. (English) Zbl 1240.65120 Numer. Linear Algebra Appl. 17, No. 1, 139-154 (2010). MSC: 65F10 65F08 PDFBibTeX XMLCite \textit{N. Zhang} and \textit{Y.-M. Wei}, Numer. Linear Algebra Appl. 17, No. 1, 139--154 (2010; Zbl 1240.65120) Full Text: DOI
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 PDFBibTeX XMLCite \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
Li, Jing; Tu, Xuemin Convergence analysis of a balancing domain decomposition method for solving a class of indefinite linear systems. (English) Zbl 1224.65248 Numer. Linear Algebra Appl. 16, No. 9, 745-773 (2009). Reviewer: Jakub Šístek (Praha) MSC: 65N12 65N55 65F08 35J05 65N30 65F10 PDFBibTeX XMLCite \textit{J. Li} and \textit{X. Tu}, Numer. Linear Algebra Appl. 16, No. 9, 745--773 (2009; Zbl 1224.65248) Full Text: DOI
Imakura, A.; Sogabe, T.; Zhang, S.-L. An implicit wavelet sparse approximate inverse preconditioner using block finger pattern. (English) Zbl 1224.65074 Numer. Linear Algebra Appl. 16, No. 11-12, 915-928 (2009). Reviewer: Miroslav Tůma (Praha) MSC: 65F08 65F10 65F50 65T60 PDFBibTeX XMLCite \textit{A. Imakura} et al., Numer. Linear Algebra Appl. 16, No. 11--12, 915--928 (2009; Zbl 1224.65074) Full Text: DOI
Elhashash, Abed; Szyld, Daniel B. Two characterizations of matrices with the Perron-Frobenius property. (English) Zbl 1224.15064 Numer. Linear Algebra Appl. 16, No. 11-12, 863-869 (2009). Reviewer: Ivana Pultarová (Praha) MSC: 15B48 15A18 PDFBibTeX XMLCite \textit{A. Elhashash} and \textit{D. B. Szyld}, Numer. Linear Algebra Appl. 16, No. 11--12, 863--869 (2009; Zbl 1224.15064) Full Text: DOI Link
Damm, T. Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equations. (English) Zbl 1212.65175 Numer. Linear Algebra Appl. 15, No. 9, 853-871 (2008). MSC: 65F30 15A24 93E25 65F10 65F08 65F05 PDFBibTeX XMLCite \textit{T. Damm}, Numer. Linear Algebra Appl. 15, No. 9, 853--871 (2008; Zbl 1212.65175) Full Text: DOI
Du, X.; Szyld, D. B. A note on the mesh independence of convergence bounds for additive Schwarz preconditioned GMRES. (English) Zbl 1212.65417 Numer. Linear Algebra Appl. 15, No. 6, 547-557 (2008). MSC: 65N12 65F10 65N22 65F08 35J25 PDFBibTeX XMLCite \textit{X. Du} and \textit{D. B. Szyld}, Numer. Linear Algebra Appl. 15, No. 6, 547--557 (2008; Zbl 1212.65417) Full Text: DOI
Simoncini, Valeria; Szyld, Daniel B. Recent computational developments in Krylov subspace methods for linear systems. (English) Zbl 1199.65112 Numer. Linear Algebra Appl. 14, No. 1, 1-59 (2007). MSC: 65F10 65F50 65-02 PDFBibTeX XMLCite \textit{V. Simoncini} and \textit{D. B. Szyld}, Numer. Linear Algebra Appl. 14, No. 1, 1--59 (2007; Zbl 1199.65112) Full Text: DOI
Li, Zhongze; Saad, Yousef; Sosonkina, Masha pARMS: a parallel version of the algebraic recursive multilevel solver. (English) Zbl 1071.65532 Numer. Linear Algebra Appl. 10, No. 5-6, 485-509 (2003). MSC: 65F35 65Y05 65Y20 PDFBibTeX XMLCite \textit{Z. Li} et al., Numer. Linear Algebra Appl. 10, No. 5--6, 485--509 (2003; Zbl 1071.65532) Full Text: DOI
Li, Wen; Sun, W.; Liu, K. Parallel multisplitting iterative methods for singular \(M\)-matrices. (English) Zbl 1051.65034 Numer. Linear Algebra Appl. 8, No. 3, 181-190 (2001). Reviewer: Jan Chleboun (Praha) MSC: 65F10 65Y05 PDFBibTeX XMLCite \textit{W. Li} et al., Numer. Linear Algebra Appl. 8, No. 3, 181--190 (2001; Zbl 1051.65034) Full Text: DOI
Migallón, Violeta; Penadés, José; Szyld, Daniel B. Block two-stages methods for singular systems and Markov chains. (English) Zbl 0906.65037 Numer. Linear Algebra Appl. 3, No. 5, 413-426 (1996). Reviewer: M.Práger (Praha) MSC: 65F10 65C99 60E05 60J10 PDFBibTeX XMLCite \textit{V. Migallón} et al., Numer. Linear Algebra Appl. 3, No. 5, 413--426 (1996; Zbl 0906.65037) Full Text: DOI