Tropp, Joel A. Randomized block Krylov methods for approximating extreme eigenvalues. (English) Zbl 1480.65086 Numer. Math. 150, No. 1, 217-255 (2022). MSC: 65F15 68W20 60B20 PDFBibTeX XMLCite \textit{J. A. Tropp}, Numer. Math. 150, No. 1, 217--255 (2022; Zbl 1480.65086) Full Text: DOI arXiv Link
Embree, Mark; Loe, Jennifer A.; Morgan, Ronald Polynomial preconditioned Arnoldi with stability control. (English) Zbl 1464.65035 SIAM J. Sci. Comput. 43, No. 1, A1-A25 (2021). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{M. Embree} et al., SIAM J. Sci. Comput. 43, No. 1, A1--A25 (2021; Zbl 1464.65035) Full Text: DOI arXiv
Sacchi, Giulia; Simoncini, Valeria A GMRES convergence analysis for localized invariant subspace ill-conditioning. (English) Zbl 1420.65059 SIAM J. Matrix Anal. Appl. 40, No. 2, 542-563 (2019). MSC: 65F30 PDFBibTeX XMLCite \textit{G. Sacchi} and \textit{V. Simoncini}, SIAM J. Matrix Anal. Appl. 40, No. 2, 542--563 (2019; Zbl 1420.65059) Full Text: DOI
Huhtanen, Marko; Kotila, Vesa Optimal quotients for solving large eigenvalue problems. (English) Zbl 1454.65023 BIT 59, No. 1, 125-154 (2019). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 15A22 15A60 76W05 PDFBibTeX XMLCite \textit{M. Huhtanen} and \textit{V. Kotila}, BIT 59, No. 1, 125--154 (2019; Zbl 1454.65023) Full Text: DOI Link
Drineas, Petros; Ipsen, Ilse C. F.; Kontopoulou, Eugenia-Maria; Magdon-Ismail, Malik Structural convergence results for approximation of dominant subspaces from block Krylov spaces. (English) Zbl 1390.15027 SIAM J. Matrix Anal. Appl. 39, No. 2, 567-586 (2018). MSC: 15A18 15A42 65F15 65F20 68W20 PDFBibTeX XMLCite \textit{P. Drineas} et al., SIAM J. Matrix Anal. Appl. 39, No. 2, 567--586 (2018; Zbl 1390.15027) Full Text: DOI arXiv
Aishima, Kensuke On convergence of iterative projection methods for symmetric eigenvalue problems. (English) Zbl 1382.65096 J. Comput. Appl. Math. 311, 513-521 (2017). MSC: 65F15 65F08 PDFBibTeX XMLCite \textit{K. Aishima}, J. Comput. Appl. Math. 311, 513--521 (2017; Zbl 1382.65096) Full Text: DOI
Ye, Ke; Lim, Lek-Heng Schubert varieties and distances between subspaces of different dimensions. (English) Zbl 1365.14065 SIAM J. Matrix Anal. Appl. 37, No. 3, 1176-1197 (2016). Reviewer: Pietro De Poi (Udine) MSC: 14M15 15A18 14N20 51K99 PDFBibTeX XMLCite \textit{K. Ye} and \textit{L.-H. Lim}, SIAM J. Matrix Anal. Appl. 37, No. 3, 1176--1197 (2016; Zbl 1365.14065) Full Text: DOI arXiv
Aishima, Kensuke Global convergence of the restarted Lanczos and Jacobi-Davidson methods for symmetric eigenvalue problems. (English) Zbl 1325.65050 Numer. Math. 131, No. 3, 405-423 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{K. Aishima}, Numer. Math. 131, No. 3, 405--423 (2015; Zbl 1325.65050) Full Text: DOI
Bujanović, Zvonimir; Drmač, Zlatko A new framework for implicit restarting of the Krylov-Schur algorithm. (English) Zbl 1363.65059 Numer. Linear Algebra Appl. 22, No. 2, 220-232 (2015). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Bujanović} and \textit{Z. Drmač}, Numer. Linear Algebra Appl. 22, No. 2, 220--232 (2015; Zbl 1363.65059) Full Text: DOI
Dookhitram, Kumar; Tangman, Yannick Désiré; Bhuruth, Muddun Convergence of Arnoldi’s method for generalized eigenvalue problems. (English) Zbl 1320.65054 Afr. Mat. 26, No. 3-4, 485-501 (2015). MSC: 65F15 PDFBibTeX XMLCite \textit{K. Dookhitram} et al., Afr. Mat. 26, No. 3--4, 485--501 (2015; Zbl 1320.65054) Full Text: DOI
Duintjer Tebbens, Jurjen; Meurant, Gérard Prescribing the behavior of early terminating GMRES and Arnoldi iterations. (English) Zbl 1288.65037 Numer. Algorithms 65, No. 1, 69-90 (2014). Reviewer: Martin Reißel (Aachen) MSC: 65F10 PDFBibTeX XMLCite \textit{J. Duintjer Tebbens} and \textit{G. Meurant}, Numer. Algorithms 65, No. 1, 69--90 (2014; Zbl 1288.65037) Full Text: DOI
Wu, Gang; Zhang, Ying; Wei, Yimin Accelerating the Arnoldi-type algorithm for the PageRank problem and the ProteinRank problem. (English) Zbl 1282.65045 J. Sci. Comput. 57, No. 1, 74-104 (2013). MSC: 65F15 65F10 65C40 68P20 PDFBibTeX XMLCite \textit{G. Wu} et al., J. Sci. Comput. 57, No. 1, 74--104 (2013; Zbl 1282.65045) Full Text: DOI
Mehrmann, Volker; Schröder, C.; Simoncini, Valeria An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems. (English) Zbl 1247.65050 Linear Algebra Appl. 436, No. 10, 4070-4087 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 65F18 65F50 PDFBibTeX XMLCite \textit{V. Mehrmann} et al., Linear Algebra Appl. 436, No. 10, 4070--4087 (2012; Zbl 1247.65050) Full Text: DOI
Stoll, Martin A Krylov-Schur approach to the truncated SVD. (English) Zbl 1241.65040 Linear Algebra Appl. 436, No. 8, 2795-2806 (2012). MSC: 65F20 PDFBibTeX XMLCite \textit{M. Stoll}, Linear Algebra Appl. 436, No. 8, 2795--2806 (2012; Zbl 1241.65040) Full Text: DOI
Benner, Peter; Embree, Mark; Lehoucq, Richard B.; Kelley, C. T. A mathematical biography of Danny C. Sorensen. (English) Zbl 1238.01104 Linear Algebra Appl. 436, No. 8, 2717-2724 (2012). MSC: 01A70 PDFBibTeX XMLCite \textit{P. Benner} et al., Linear Algebra Appl. 436, No. 8, 2717--2724 (2012; Zbl 1238.01104) Full Text: DOI
Dookhitram, Kumar; Boojhawon, Ravindra; Gopaul, Ashvin; Bhuruth, Muddun A-posteriori residual bounds for Arnoldi’s methods for nonsymmetric eigenvalue problems. (English) Zbl 1211.65045 Numer. Algorithms 56, No. 4, 481-495 (2011). MSC: 65F15 PDFBibTeX XMLCite \textit{K. Dookhitram} et al., Numer. Algorithms 56, No. 4, 481--495 (2011; Zbl 1211.65045) Full Text: DOI
Wu, Gang; Wei, Yimin An Arnoldi-extrapolation algorithm for computing pagerank. (English) Zbl 1201.65059 J. Comput. Appl. Math. 234, No. 11, 3196-3212 (2010). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 65F10 68P10 PDFBibTeX XMLCite \textit{G. Wu} and \textit{Y. Wei}, J. Comput. Appl. Math. 234, No. 11, 3196--3212 (2010; Zbl 1201.65059) Full Text: DOI
Niu, Qiang; Lu, Linzhang Deflated block Krylov subspace methods for large scale eigenvalue problems. (English) Zbl 1191.65035 J. Comput. Appl. Math. 234, No. 3, 636-648 (2010). Reviewer: R. Militaru (Craiova) MSC: 65F15 PDFBibTeX XMLCite \textit{Q. Niu} and \textit{L. Lu}, J. Comput. Appl. Math. 234, No. 3, 636--648 (2010; Zbl 1191.65035) Full Text: DOI
Niu, Qiang; Lu, Linzhang An invert-free Arnoldi method for computing interior eigenpairs of large matrices. (English) Zbl 1125.65031 Int. J. Comput. Math. 84, No. 4, 477-490 (2007). Reviewer: E. Kreyszig (Ottawa) MSC: 65F15 PDFBibTeX XMLCite \textit{Q. Niu} and \textit{L. Lu}, Int. J. Comput. Math. 84, No. 4, 477--490 (2007; Zbl 1125.65031) Full Text: DOI
Kressner, Daniel A periodic Krylov-Schur algorithm for large matrix products. (English) Zbl 1094.65027 Numer. Math. 103, No. 3, 461-483 (2006). MSC: 65F15 65F50 15-04 PDFBibTeX XMLCite \textit{D. Kressner}, Numer. Math. 103, No. 3, 461--483 (2006; Zbl 1094.65027) Full Text: DOI Link