Zhou, Ming; Argentati, Merico; Knyazev, Andrew V.; Neymeyr, Klaus Sharp majorization-type cluster robust bounds for block filters and eigensolvers. (English) Zbl 07783216 SIAM J. Matrix Anal. Appl. 44, No. 4, 1852-1878 (2023). MSC: 65F15 65N12 65N25 PDFBibTeX XMLCite \textit{M. Zhou} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1852--1878 (2023; Zbl 07783216) Full Text: DOI arXiv
Miao, Cun-Qiang; Cheng, Lan On flexible block Chebyshev-Davidson method for solving symmetric generalized eigenvalue problems. (English) Zbl 07773317 Adv. Comput. Math. 49, No. 6, Paper No. 78, 28 p. (2023). MSC: 65F15 65N25 PDFBibTeX XMLCite \textit{C.-Q. Miao} and \textit{L. Cheng}, Adv. Comput. Math. 49, No. 6, Paper No. 78, 28 p. (2023; Zbl 07773317) Full Text: DOI
Chen, Wenbin; Shao, Nian; Xu, Xuejun A locally optimal preconditioned Newton-Schur method for symmetric elliptic eigenvalue problems. (English) Zbl 1522.65193 Math. Comput. 92, No. 344, 2655-2684 (2023). MSC: 65N25 65N30 65N55 65N12 65F15 PDFBibTeX XMLCite \textit{W. Chen} et al., Math. Comput. 92, No. 344, 2655--2684 (2023; Zbl 1522.65193) Full Text: DOI
Shao, Nian; Chen, Wenbin Convergence analysis of Newton-Schur method for symmetric elliptic eigenvalue problem. (English) Zbl 1519.65051 SIAM J. Numer. Anal. 61, No. 1, 315-342 (2023). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65N25 65N30 65N55 65N12 PDFBibTeX XMLCite \textit{N. Shao} and \textit{W. Chen}, SIAM J. Numer. Anal. 61, No. 1, 315--342 (2023; Zbl 1519.65051) Full Text: DOI arXiv
Xu, Fei; Xie, Hehu; Zhang, Ning A parallel augmented subspace method for eigenvalue problems. (English) Zbl 1451.65206 SIAM J. Sci. Comput. 42, No. 5, A2655-A2677 (2020). MSC: 65N30 65N25 65L15 65N55 65Y05 PDFBibTeX XMLCite \textit{F. Xu} et al., SIAM J. Sci. Comput. 42, No. 5, A2655--A2677 (2020; Zbl 1451.65206) Full Text: DOI arXiv
Wu, Lingfei; Xue, Fei; Stathopoulos, Andreas TRPL+K: thick-restart preconditioned Lanczos+K method for large symmetric eigenvalue problems. (English) Zbl 1431.65047 SIAM J. Sci. Comput. 41, No. 2, A1013-A1040 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{L. Wu} et al., SIAM J. Sci. Comput. 41, No. 2, A1013--A1040 (2019; Zbl 1431.65047) Full Text: DOI arXiv
Duersch, Jed A.; Shao, Meiyue; Yang, Chao; Gu, Ming A robust and efficient implementation of LOBPCG. (English) Zbl 1401.65038 SIAM J. Sci. Comput. 40, No. 5, C655-C676 (2018). MSC: 65F15 PDFBibTeX XMLCite \textit{J. A. Duersch} et al., SIAM J. Sci. Comput. 40, No. 5, C655--C676 (2018; Zbl 1401.65038) Full Text: DOI arXiv
Wen, Zaiwen; Yang, Chao; Liu, Xin; Zhang, Yin Trace-penalty minimization for large-scale eigenspace computation. (English) Zbl 1373.65026 J. Sci. Comput. 66, No. 3, 1175-1203 (2016). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 65K05 90C06 15A22 65Y20 PDFBibTeX XMLCite \textit{Z. Wen} et al., J. Sci. Comput. 66, No. 3, 1175--1203 (2016; Zbl 1373.65026) Full Text: DOI Link
Vecharynski, Eugene; Yang, Chao; Xue, Fei Generalized preconditioned locally harmonic residual method for non-Hermitian eigenproblems. (English) Zbl 06548924 SIAM J. Sci. Comput. 38, No. 1, A500-A527 (2016). MSC: 65F15 65F08 65F50 PDFBibTeX XMLCite \textit{E. Vecharynski} et al., SIAM J. Sci. Comput. 38, No. 1, A500--A527 (2016; Zbl 06548924) Full Text: DOI arXiv
Banerjee, Amartya S.; Elliott, Ryan S.; James, Richard D. A spectral scheme for Kohn-Sham density functional theory of clusters. (English) Zbl 1351.81014 J. Comput. Phys. 287, 226-253 (2015). MSC: 81-08 82-08 65N35 65N25 81P68 82C10 PDFBibTeX XMLCite \textit{A. S. Banerjee} et al., J. Comput. Phys. 287, 226--253 (2015; Zbl 1351.81014) Full Text: DOI arXiv
Vecharynski, Eugene; Yang, Chao; Pask, John E. A projected preconditioned conjugate gradient algorithm for computing many extreme eigenpairs of a Hermitian matrix. (English) Zbl 1349.65133 J. Comput. Phys. 290, 73-89 (2015). MSC: 65F15 65F08 15B57 PDFBibTeX XMLCite \textit{E. Vecharynski} et al., J. Comput. Phys. 290, 73--89 (2015; Zbl 1349.65133) Full Text: DOI arXiv
Vecharynski, Eugene; Knyazev, Andrew Preconditioned locally harmonic residual method for computing interior eigenpairs of certain classes of Hermitian matrices. (English) Zbl 1325.65054 SIAM J. Sci. Comput. 37, No. 5, S3-S29 (2015). MSC: 65F15 65F08 65M55 15B57 PDFBibTeX XMLCite \textit{E. Vecharynski} and \textit{A. Knyazev}, SIAM J. Sci. Comput. 37, No. 5, S3--S29 (2015; Zbl 1325.65054) Full Text: DOI arXiv
Romero, Eloy; Roman, Jose E. A parallel implementation of Davidson methods for large-scale eigenvalue problems in SLEPc. (English) Zbl 1305.65124 ACM Trans. Math. Softw. 40, No. 2, Article No. 13, 29 p. (2014). MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{E. Romero} and \textit{J. E. Roman}, ACM Trans. Math. Softw. 40, No. 2, Article No. 13, 29 p. (2014; Zbl 1305.65124) Full Text: DOI Link
Ferronato, Massimiliano; Janna, Carlo; Pini, Giorgio Efficient parallel solution to large-size sparse eigenproblems with block FSAI preconditioning. (English) Zbl 1274.65106 Numer. Linear Algebra Appl. 19, No. 5, 797-815 (2012). Reviewer: Luca Bergamaschi (Padua) MSC: 65F15 65F50 65F08 65Y05 PDFBibTeX XMLCite \textit{M. Ferronato} et al., Numer. Linear Algebra Appl. 19, No. 5, 797--815 (2012; Zbl 1274.65106) Full Text: DOI
Jordan, Gerald; Marsman, Martijn; Kim, Yoon-Suk; Kresse, Georg Fast iterative interior eigensolver for millions of atoms. (English) Zbl 1251.82061 J. Comput. Phys. 231, No. 14, 4836-4847 (2012). MSC: 82D37 82-08 65F15 65Y05 PDFBibTeX XMLCite \textit{G. Jordan} et al., J. Comput. Phys. 231, No. 14, 4836--4847 (2012; Zbl 1251.82061) Full Text: DOI
Ovtchinnikov, E. E. Jacobi correction equation, line search, and conjugate gradients in Hermitian eigenvalue computation. II: Computing several extreme eigenvalues. (English) Zbl 1176.65044 SIAM J. Numer. Anal. 46, No. 5, 2593-2619 (2008). MSC: 65F15 65F10 PDFBibTeX XMLCite \textit{E. E. Ovtchinnikov}, SIAM J. Numer. Anal. 46, No. 5, 2593--2619 (2008; Zbl 1176.65044) Full Text: DOI