Aishima, Kensuke Convergence proof of the harmonic Ritz pairs of iterative projection methods with restart strategies for symmetric eigenvalue problems. (English) Zbl 1445.65008 Japan J. Ind. Appl. Math. 37, No. 2, 415-431 (2020). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 15A18 65H17 PDFBibTeX XMLCite \textit{K. Aishima}, Japan J. Ind. Appl. Math. 37, No. 2, 415--431 (2020; Zbl 1445.65008) Full Text: DOI
Ogita, Takeshi; Aishima, Kensuke Iterative refinement for symmetric eigenvalue decomposition. II. Clustered eigenvalues. (English) Zbl 1418.65049 Japan J. Ind. Appl. Math. 36, No. 2, 435-459 (2019). MSC: 65F15 15A18 15A23 PDFBibTeX XMLCite \textit{T. Ogita} and \textit{K. Aishima}, Japan J. Ind. Appl. Math. 36, No. 2, 435--459 (2019; Zbl 1418.65049) Full Text: DOI
Ogita, Takeshi; Aishima, Kensuke Iterative refinement for symmetric eigenvalue decomposition. (English) Zbl 1403.65018 Japan J. Ind. Appl. Math. 35, No. 3, 1007-1035 (2018). MSC: 65F15 15A18 15A23 PDFBibTeX XMLCite \textit{T. Ogita} and \textit{K. Aishima}, Japan J. Ind. Appl. Math. 35, No. 3, 1007--1035 (2018; Zbl 1403.65018) Full Text: DOI
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
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
Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki A shift strategy for superquadratic convergence in the dqds algorithm for singular values. (English) Zbl 1294.65043 J. Comput. Appl. Math. 257, 132-143 (2014). MSC: 65F20 15A18 PDFBibTeX XMLCite \textit{K. Aishima} et al., J. Comput. Appl. Math. 257, 132--143 (2014; Zbl 1294.65043) Full Text: DOI
Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo A note on the dqds algorithm with Rutishauser’s shift for singular values. (English) Zbl 1231.65067 Japan J. Ind. Appl. Math. 28, No. 2, 251-262 (2011). MSC: 65F15 PDFBibTeX XMLCite \textit{K. Aishima} et al., Japan J. Ind. Appl. Math. 28, No. 2, 251--262 (2011; Zbl 1231.65067) Full Text: DOI
Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo; Sugihara, Masaaki Superquadratic convergence of DLASQ for computing matrix singular values. (English) Zbl 1198.65078 J. Comput. Appl. Math. 234, No. 4, 1179-1187 (2010). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F20 PDFBibTeX XMLCite \textit{K. Aishima} et al., J. Comput. Appl. Math. 234, No. 4, 1179--1187 (2010; Zbl 1198.65078) Full Text: DOI
Aishima, Kensuke; Matsuo, Takayasu; Murota, Kazuo Rigorous proof of cubic convergence for the dqds algorithm for singular values. (English) Zbl 1153.65041 Japan J. Ind. Appl. Math. 25, No. 1, 65-81 (2008). Reviewer: Constantin Popa (Constanţa) MSC: 65F25 PDFBibTeX XMLCite \textit{K. Aishima} et al., Japan J. Ind. Appl. Math. 25, No. 1, 65--81 (2008; Zbl 1153.65041) Full Text: DOI