Jia, Zhongxiao; Zhang, Kailiang An augmented matrix-based CJ-FEAST SVDsolver for computing a partial singular value decomposition with the singular values in a given interval. (English) Zbl 07791518 SIAM J. Matrix Anal. Appl. 45, No. 1, 24-58 (2024). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{K. Zhang}, SIAM J. Matrix Anal. Appl. 45, No. 1, 24--58 (2024; Zbl 07791518) Full Text: DOI arXiv
Gao, Weiguo; Li, Yingzhou; Lu, Bichen Triangularized orthogonalization-free method for solving extreme eigenvalue problems. (English) Zbl 1507.65079 J. Sci. Comput. 93, No. 3, Paper No. 63, 28 p. (2022). MSC: 65F15 15A18 65K05 PDFBibTeX XMLCite \textit{W. Gao} et al., J. Sci. Comput. 93, No. 3, Paper No. 63, 28 p. (2022; Zbl 1507.65079) Full Text: DOI arXiv
Horning, Andrew; Nakatsukasa, Yuji Twice is enough for dangerous eigenvalues. (English) Zbl 1482.65058 SIAM J. Matrix Anal. Appl. 43, No. 1, 68-93 (2022). MSC: 65F15 65G50 15A18 PDFBibTeX XMLCite \textit{A. Horning} and \textit{Y. Nakatsukasa}, SIAM J. Matrix Anal. Appl. 43, No. 1, 68--93 (2022; Zbl 1482.65058) Full Text: DOI arXiv
Kalantzis, Vassilis; Xi, Yuanzhe; Horesh, Lior Fast randomized non-Hermitian eigensolvers based on rational filtering and matrix partitioning. (English) Zbl 07418130 SIAM J. Sci. Comput. 43, No. 5, S791-S815 (2021). MSC: 65F15 15A18 65F50 PDFBibTeX XMLCite \textit{V. Kalantzis} et al., SIAM J. Sci. Comput. 43, No. 5, S791--S815 (2021; Zbl 07418130) Full Text: DOI arXiv
Morikuni, Keiichi Projection method for eigenvalue problems of linear nonsquare matrix pencils. (English) Zbl 1476.65054 SIAM J. Matrix Anal. Appl. 42, No. 3, 1381-1400 (2021). MSC: 65F15 65F50 15A18 15A22 PDFBibTeX XMLCite \textit{K. Morikuni}, SIAM J. Matrix Anal. Appl. 42, No. 3, 1381--1400 (2021; Zbl 1476.65054) Full Text: DOI arXiv
Kollnig, Konrad; Bientinesi, Paolo; Di Napoli, Edoardo A. Rational spectral filters with optimal convergence rate. (English) Zbl 07379632 SIAM J. Sci. Comput. 43, No. 4, A2660-A2684 (2021). MSC: 65F15 15A18 65F50 PDFBibTeX XMLCite \textit{K. Kollnig} et al., SIAM J. Sci. Comput. 43, No. 4, A2660--A2684 (2021; Zbl 07379632) Full Text: DOI arXiv
Lorin, Emmanuel; Tian, Simon A numerical study of fractional linear algebraic systems. (English) Zbl 1524.65198 Math. Comput. Simul. 182, 495-513 (2021). MSC: 65F60 15A06 15A16 PDFBibTeX XMLCite \textit{E. Lorin} and \textit{S. Tian}, Math. Comput. Simul. 182, 495--513 (2021; Zbl 1524.65198) Full Text: DOI
Liu, Xiao; Xi, Yuanzhe; Saad, Yousef; de Hoop, Maarten V. Solving the three-dimensional high-frequency Helmholtz equation using contour integration and polynomial preconditioning. (English) Zbl 1434.65234 SIAM J. Matrix Anal. Appl. 41, No. 1, 58-82 (2020). MSC: 65N22 15A06 65F08 65F10 65Y20 PDFBibTeX XMLCite \textit{X. Liu} et al., SIAM J. Matrix Anal. Appl. 41, No. 1, 58--82 (2020; Zbl 1434.65234) Full Text: DOI arXiv
Yin, Guojian A contour-integral based method with Schur-Rayleigh-Ritz procedure for generalized eigenvalue problems. (English) Zbl 1444.65012 J. Sci. Comput. 81, No. 1, 252-270 (2019). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65F22 15A18 58C40 PDFBibTeX XMLCite \textit{G. Yin}, J. Sci. Comput. 81, No. 1, 252--270 (2019; Zbl 1444.65012) Full Text: DOI
Beckermann, Bernhard; Townsend, Alex Bounds on the singular values of matrices with displacement structure. (English) Zbl 1441.15005 SIAM Rev. 61, No. 2, 319-344 (2019). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A18 15A60 15B48 26C15 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{A. Townsend}, SIAM Rev. 61, No. 2, 319--344 (2019; Zbl 1441.15005) Full Text: DOI
Camps, Daan; Meerbergen, Karl; Vandebril, Raf A rational QZ method. (English) Zbl 1420.65044 SIAM J. Matrix Anal. Appl. 40, No. 3, 943-972 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{D. Camps} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 943--972 (2019; Zbl 1420.65044) Full Text: DOI arXiv
Yin, Guojian A harmonic FEAST algorithm for non-Hermitian generalized eigenvalue problems. (English) Zbl 1431.65048 Linear Algebra Appl. 578, 75-94 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{G. Yin}, Linear Algebra Appl. 578, 75--94 (2019; Zbl 1431.65048) Full Text: DOI
Liu, J.; Sun, J.; Turner, T. Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem. (English) Zbl 1422.65361 J. Sci. Comput. 79, No. 3, 1814-1831 (2019). MSC: 65N25 65N30 65N12 35P25 35P30 65F10 65F15 15A18 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Sci. Comput. 79, No. 3, 1814--1831 (2019; Zbl 1422.65361) Full Text: DOI arXiv
Yin, Guojian A contour-integral based method for counting the eigenvalues inside a region. (English) Zbl 1417.65117 J. Sci. Comput. 78, No. 3, 1942-1961 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{G. Yin}, J. Sci. Comput. 78, No. 3, 1942--1961 (2019; Zbl 1417.65117) Full Text: DOI
Yin, Guojian On the non-Hermitian FEAST algorithms with oblique projection for eigenvalue problems. (English) Zbl 1415.65094 J. Comput. Appl. Math. 355, 23-35 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{G. Yin}, J. Comput. Appl. Math. 355, 23--35 (2019; Zbl 1415.65094) Full Text: DOI
Massei, Stefano; Palitta, Davide; Robol, Leonardo Solving rank-structured Sylvester and Lyapunov equations. (English) Zbl 1404.65036 SIAM J. Matrix Anal. Appl. 39, No. 4, 1564-1590 (2018). MSC: 65F30 65F50 15A24 65D32 65Y15 PDFBibTeX XMLCite \textit{S. Massei} et al., SIAM J. Matrix Anal. Appl. 39, No. 4, 1564--1590 (2018; Zbl 1404.65036) Full Text: DOI arXiv
Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef Beyond automated multilevel substructuring: domain decomposition with rational filtering. (English) Zbl 1394.65030 SIAM J. Sci. Comput. 40, No. 4, C477-C502 (2018). MSC: 65F15 15A18 65F50 65Y05 PDFBibTeX XMLCite \textit{V. Kalantzis} et al., SIAM J. Sci. Comput. 40, No. 4, C477--C502 (2018; Zbl 1394.65030) Full Text: DOI arXiv
Ye, Xin; Xia, Jianlin; Chan, Raymond H.; Cauley, Stephen; Balakrishnan, Venkataramanan A fast contour-integral eigensolver for non-Hermitian matrices. (English) Zbl 1387.65037 SIAM J. Matrix Anal. Appl. 38, No. 4, 1268-1297 (2017). MSC: 65F15 15A18 65D30 65F05 65F30 PDFBibTeX XMLCite \textit{X. Ye} et al., SIAM J. Matrix Anal. Appl. 38, No. 4, 1268--1297 (2017; Zbl 1387.65037) Full Text: DOI
Beckermann, Bernhard; Townsend, Alex On the singular values of matrices with displacement structure. (English) Zbl 1386.15024 SIAM J. Matrix Anal. Appl. 38, No. 4, 1227-1248 (2017). MSC: 15A18 26C15 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{A. Townsend}, SIAM J. Matrix Anal. Appl. 38, No. 4, 1227--1248 (2017; Zbl 1386.15024) Full Text: DOI arXiv Backlinks: MO
Xiao, Jinyou; Zhou, Hang; Zhang, Chuanzeng; Xu, Chao Solving large-scale finite element nonlinear eigenvalue problems by resolvent sampling based Rayleigh-Ritz method. (English) Zbl 1398.65066 Comput. Mech. 59, No. 2, 317-334 (2017). MSC: 65F15 65H17 65F35 15A18 65F10 PDFBibTeX XMLCite \textit{J. Xiao} et al., Comput. Mech. 59, No. 2, 317--334 (2017; Zbl 1398.65066) Full Text: DOI
Barkatou, Moulay; Boito, Paola; Segura Ugalde, Esteban A contour integral approach to the computation of invariant pairs. (English) Zbl 1375.65057 Theor. Comput. Sci. 681, 3-26 (2017). MSC: 65F15 15A54 PDFBibTeX XMLCite \textit{M. Barkatou} et al., Theor. Comput. Sci. 681, 3--26 (2017; Zbl 1375.65057) Full Text: DOI arXiv
Lin, Lin Randomized estimation of spectral densities of large matrices made accurate. (English) Zbl 1364.15007 Numer. Math. 136, No. 1, 183-213 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 15A18 65F15 PDFBibTeX XMLCite \textit{L. Lin}, Numer. Math. 136, No. 1, 183--213 (2017; Zbl 1364.15007) Full Text: DOI arXiv
Bini, Dario A.; Massei, Stefano; Robol, Leonardo On the decay of the off-diagonal singular values in cyclic reduction. (English) Zbl 1360.65118 Linear Algebra Appl. 519, 27-53 (2017). MSC: 65F30 15A24 65F10 60K25 65D05 41A20 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Linear Algebra Appl. 519, 27--53 (2017; Zbl 1360.65118) Full Text: DOI arXiv
Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef Efficient estimation of eigenvalue counts in an interval. (English) Zbl 1413.65092 Numer. Linear Algebra Appl. 23, No. 4, 674-692 (2016). MSC: 65F15 15B57 65F50 PDFBibTeX XMLCite \textit{E. Di Napoli} et al., Numer. Linear Algebra Appl. 23, No. 4, 674--692 (2016; Zbl 1413.65092) Full Text: DOI arXiv
Nakatsukasa, Yuji; Freund, Roland W. Computing fundamental matrix decompositions accurately via the matrix sign function in two iterations: the power of Zolotarev’s functions. (English) Zbl 1383.15012 SIAM Rev. 58, No. 3, 461-493 (2016). MSC: 15A23 65F15 65F30 65G50 PDFBibTeX XMLCite \textit{Y. Nakatsukasa} and \textit{R. W. Freund}, SIAM Rev. 58, No. 3, 461--493 (2016; Zbl 1383.15012) Full Text: DOI Link
Vecharynski, Eugene A generalization of Saad’s bound on harmonic Ritz vectors of Hermitian matrices. (English) Zbl 1382.65106 Linear Algebra Appl. 494, 219-235 (2016). MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{E. Vecharynski}, Linear Algebra Appl. 494, 219--235 (2016; Zbl 1382.65106) Full Text: DOI arXiv
Imakura, Akira; Du, Lei; Sakurai, Tetsuya Error bounds of Rayleigh-Ritz type contour integral-based eigensolver for solving generalized eigenvalue problems. (English) Zbl 1333.65039 Numer. Algorithms 71, No. 1, 103-120 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 15A18 65F50 PDFBibTeX XMLCite \textit{A. Imakura} et al., Numer. Algorithms 71, No. 1, 103--120 (2016; Zbl 1333.65039) Full Text: DOI
Chen, Xiao-Ping; Dai, Hua A novel numerical method to determine the algebraic multiplicity of nonlinear eigenvalues. (English) Zbl 1410.65204 Appl. Math. Comput. 271, 344-351 (2015). MSC: 65H17 15A18 PDFBibTeX XMLCite \textit{X.-P. Chen} and \textit{H. Dai}, Appl. Math. Comput. 271, 344--351 (2015; Zbl 1410.65204) Full Text: DOI
Liu, Xin; Wen, Zaiwen; Zhang, Yin An efficient Gauss-Newton algorithm for symmetric low-rank product matrix approximations. (English) Zbl 1321.65060 SIAM J. Optim. 25, No. 3, 1571-1608 (2015). MSC: 65F20 15A83 65F10 62H35 PDFBibTeX XMLCite \textit{X. Liu} et al., SIAM J. Optim. 25, No. 3, 1571--1608 (2015; Zbl 1321.65060) Full Text: DOI
Austin, Anthony P.; Trefethen, Lloyd N. Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic. (English) Zbl 1328.15016 SIAM J. Sci. Comput. 37, No. 3, A1365-A1387 (2015). MSC: 15A18 41A20 65F15 PDFBibTeX XMLCite \textit{A. P. Austin} and \textit{L. N. Trefethen}, SIAM J. Sci. Comput. 37, No. 3, A1365--A1387 (2015; Zbl 1328.15016) Full Text: DOI Link
Tang, Ping Tak Peter; Polizzi, Eric FEAST as a subspace iteration eigensolver accelerated by approximate spectral projection. (English) Zbl 1303.65018 SIAM J. Matrix Anal. Appl. 35, No. 2, 354-390 (2014). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{P. T. P. Tang} and \textit{E. Polizzi}, SIAM J. Matrix Anal. Appl. 35, No. 2, 354--390 (2014; Zbl 1303.65018) Full Text: DOI arXiv