Imakura, Akira; Sakurai, Tetsuya Complex moment-based eigensolver coupled with two Krylov subspaces. (English) Zbl 1518.65033 J. Comput. Appl. Math. 432, Article ID 115283, 15 p. (2023). MSC: 65F15 65F50 68W10 PDFBibTeX XMLCite \textit{A. Imakura} and \textit{T. Sakurai}, J. Comput. Appl. Math. 432, Article ID 115283, 15 p. (2023; Zbl 1518.65033) Full Text: DOI
Chen, Hongjia; Zhang, Ke; Sakurai, Tetsuya The tropical scaling for the polynomial eigenvalue problem solved by a contour integral method. (English) Zbl 07511594 Numer. Linear Algebra Appl. 29, No. 2, e2413, 17 p. (2022). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{H. Chen} et al., Numer. Linear Algebra Appl. 29, No. 2, e2413, 17 p. (2022; Zbl 07511594) Full Text: DOI
Yano, Takahiro; Futamura, Yasunori; Imakura, Akira; Sakurai, Tetsuya Performance evaluation of the Sakurai-Sugiura method with a block Krylov subspace linear solver for large dense Hermitian-definite generalized eigenvalue problems. (English) Zbl 07037372 JSIAM Lett. 10, 77-80 (2018). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{T. Yano} et al., JSIAM Lett. 10, 77--80 (2018; Zbl 07037372) Full Text: DOI
Chen, Hongjia; Maeda, Yasuyuki; Imakura, Akira; Sakurai, Tetsuya; Tisseur, Francoise Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems. (English) Zbl 07037417 JSIAM Lett. 9, 17-20 (2017). Reviewer: Drahoslava Janovská (Praha) MSC: 65F15 65H17 PDFBibTeX XMLCite \textit{H. Chen} et al., JSIAM Lett. 9, 17--20 (2017; Zbl 07037417) Full Text: DOI
Chen, Hongjia; Imakura, Akira; Sakurai, Tetsuya Improving backward stability of Sakurai-Sugiura method with balancing technique in polynomial eigenvalue problem. (English) Zbl 1488.65079 Appl. Math., Praha 62, No. 4, 357-375 (2017). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{H. Chen} et al., Appl. Math., Praha 62, No. 4, 357--375 (2017; Zbl 1488.65079) Full Text: DOI
Imakura, Akira; Sakurai, Tetsuya Block Krylov-type complex moment-based eigensolvers for solving generalized eigenvalue problems. (English) Zbl 1368.65058 Numer. Algorithms 75, No. 2, 413-433 (2017). MSC: 65F15 PDFBibTeX XMLCite \textit{A. Imakura} and \textit{T. Sakurai}, Numer. Algorithms 75, No. 2, 413--433 (2017; Zbl 1368.65058) Full Text: DOI
Hasegawa, Tetsuya; Imakura, Akira; Sakurai, Tetsuya Recovering from accuracy deterioration in the contour integral-based eigensolver. (English) Zbl 07037392 JSIAM Lett. 8, 1-4 (2016). Reviewer: Drahoslava Janovská (Praha) MSC: 65F15 30E20 PDFBibTeX XMLCite \textit{T. Hasegawa} et al., JSIAM Lett. 8, 1--4 (2016; Zbl 07037392) Full Text: DOI
Imakura, Akira; Du, Lei; Sakurai, Tetsuya Relationships among contour integral-based methods for solving generalized eigenvalue problems. (English) Zbl 1375.65058 Japan J. Ind. Appl. Math. 33, No. 3, 721-750 (2016). Reviewer: Frank Uhlig (Auburn) MSC: 65F15 65F50 65E05 30E20 PDFBibTeX XMLCite \textit{A. Imakura} et al., Japan J. Ind. Appl. Math. 33, No. 3, 721--750 (2016; Zbl 1375.65058) 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
Yokota, Shinnosuke; Sakurai, Tetsuya A projection method for nonlinear eigenvalue problems using contour integrals. (English) Zbl 1434.65038 JSIAM Lett. 5, 41-44 (2013). MSC: 65F15 65F18 PDFBibTeX XMLCite \textit{S. Yokota} and \textit{T. Sakurai}, JSIAM Lett. 5, 41--44 (2013; Zbl 1434.65038) Full Text: DOI
Maeda, Yasuyuki; Futamura, Yasunori; Sakurai, Tetsuya Stochastic estimation method of eigenvalue density for nonlinear eigenvalue problem on the complex plane. (English) Zbl 1271.65089 JSIAM Lett. 3, 61-64 (2011). MSC: 65H17 PDFBibTeX XMLCite \textit{Y. Maeda} et al., JSIAM Lett. 3, 61--64 (2011; Zbl 1271.65089) Full Text: DOI Link
Ohno, Hiroshi; Kuramashi, Yoshinobu; Sakurai, Tetsuya; Tadano, Hiroto A quadrature-based eigensolver with a Krylov subspace method for shifted linear systems for Hermitian eigenproblems in lattice QCD. (English) Zbl 1271.65066 JSIAM Lett. 2, 115-118 (2010). MSC: 65F15 65F10 15B57 81V05 PDFBibTeX XMLCite \textit{H. Ohno} et al., JSIAM Lett. 2, 115--118 (2010; Zbl 1271.65066) Full Text: DOI arXiv Link
Asakura, Junko; Sakurai, Tetsuya; Tadano, Hiroto; Ikegami, Tsutomu; Kimura, Kinji A numerical method for polynomial eigenvalue problems using contour integral. (English) Zbl 1204.65056 Japan J. Ind. Appl. Math. 27, No. 1, 73-90 (2010). MSC: 65H17 PDFBibTeX XMLCite \textit{J. Asakura} et al., Japan J. Ind. Appl. Math. 27, No. 1, 73--90 (2010; Zbl 1204.65056) Full Text: DOI Link
Ikegami, Tsutomu; Sakurai, Tetsuya Contour integral eigensolver for non-Hermitian systems: a Rayleigh-Ritz-type approach. (English) Zbl 1198.65071 Taiwanese J. Math. 14, No. 3A, 825-837 (2010). MSC: 65F15 PDFBibTeX XMLCite \textit{T. Ikegami} and \textit{T. Sakurai}, Taiwanese J. Math. 14, No. 3A, 825--837 (2010; Zbl 1198.65071) Full Text: DOI
Ikegami, Tsutomu; Sakurai, Tetsuya; Nagashima, Umpei A filter diagonalization for generalized eigenvalue problems based on the Sakurai-Sugiura projection method. (English) Zbl 1185.65061 J. Comput. Appl. Math. 233, No. 8, 1927-1936 (2010). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 PDFBibTeX XMLCite \textit{T. Ikegami} et al., J. Comput. Appl. Math. 233, No. 8, 1927--1936 (2010; Zbl 1185.65061) Full Text: DOI
Asakura, Junko; Sakurai, Tetsuya; Tadano, Hiroto; Ikegami, Tsutomu; Kimura, Kinji A numerical method for nonlinear eigenvalue problems using contour integrals. (English) Zbl 1278.65072 JSIAM Lett. 1, 52-55 (2009). MSC: 65H17 65E05 30E10 PDFBibTeX XMLCite \textit{J. Asakura} et al., JSIAM Lett. 1, 52--55 (2009; Zbl 1278.65072) Full Text: DOI Link
Sakurai, Tetsuya; Tadano, Hiroto CIRR: a Rayleigh-Ritz method with contour integral for generalized eigenvalue problems. (English) Zbl 1156.65035 Hokkaido Math. J. 36, No. 4, 745-757 (2007). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 PDFBibTeX XMLCite \textit{T. Sakurai} and \textit{H. Tadano}, Hokkaido Math. J. 36, No. 4, 745--757 (2007; Zbl 1156.65035) Full Text: DOI
Niu, Xiao-Ming; Sakurai, Tetsuya A method for finding the zeros of polynomials using a companion matrix. (English) Zbl 1040.26005 Japan J. Ind. Appl. Math. 20, No. 2, 239-256 (2003). Reviewer: Michael M. Pahirya (Uzhgorod) MSC: 26C10 12D10 15A18 65H05 PDFBibTeX XMLCite \textit{X.-M. Niu} and \textit{T. Sakurai}, Japan J. Ind. Appl. Math. 20, No. 2, 239--256 (2003; Zbl 1040.26005) Full Text: DOI
Sakurai, Tetsuya; Sugiura, Hiroshi A projection method for generalized eigenvalue problems using numerical integration. (English) Zbl 1037.65040 J. Comput. Appl. Math. 159, No. 1, 119-128 (2003). Reviewer: Amin Boumenir (Carrollton) MSC: 65F15 30E20 PDFBibTeX XMLCite \textit{T. Sakurai} and \textit{H. Sugiura}, J. Comput. Appl. Math. 159, No. 1, 119--128 (2003; Zbl 1037.65040) Full Text: DOI