Error bounds of Rayleigh–Ritz type contour integral-based eigensolver for solving generalized eigenvalue problems-Reference-Cited by-同舟云学术

Error bounds of Rayleigh–Ritz type contour integral-based eigensolver for solving generalized eigenvalue problems

Published:2015-04-02 Issue:1 Volume:71 Page:103-120
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Imakura Akira,Du Lei,Sakurai Tetsuya

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11075-015-9987-4.pdf

Reference18 articles.

1. Asakura, J., Sakurai, T., Tadano, H., Ikegami, T., Kimura, K.: A numerical method for nonlinear eigenvalue problems using contour integrals. JSIAM Lett. 1, 52–55 (2009)

2. Asakura, J., Sakurai, T., Tadano, H., Ikegami, T., Kimura, K.: A numerical method for polynomial eigenvalue problems using contour integral. Jpn. J. Indust. Appl. Math 27, 73–90 (2010)

3. Beyn, W.-J.: An integral method for solving nonlinear eigenvalue problems. Lin. Alg. Appl. 436, 3839–3863 (2012)

4. Chatelin, F.: Eigenvalues of Matrices. Wiley, Chichester (1993)

5. Gutknecht, M.H.: Block Krylov space methods for linear systems with multiple right-hand sides: an introduction. In: Siddiqi, A.H., Duff, I.S., Christensen, O. (eds.) Modern Mathematical Models, Methods and Algorithms for Real World Systems, pp. 420–447. Anamaya Publishers, New Delhi (2007)

Cited by 19 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Complex moment-based eigensolver coupled with two Krylov subspaces;Journal of Computational and Applied Mathematics;2023-11

2. Complex moment-based methods for differential eigenvalue problems;Numerical Algorithms;2022-12-12

3. Flexible subspace iteration with moments for an effective contour integration‐based eigensolver;Numerical Linear Algebra with Applications;2022-04-29

4. An efficient contour integral based eigensolver for 3D dispersive photonic crystal;Journal of Computational and Applied Mathematics;2021-10

5. Rational Spectral Filters with Optimal Convergence Rate;SIAM Journal on Scientific Computing;2021-01