On convergence of the inexact Rayleigh quotient iteration with the Lanczos method used for solving linear systems-Reference-Cited by-同舟云学术

On convergence of the inexact Rayleigh quotient iteration with the Lanczos method used for solving linear systems

Published:2013-02-08 Issue:10 Volume:56 Page:2145-2160
ISSN:1674-7283
Container-title:Science China Mathematics
language:en
Short-container-title:Sci. China Math.

Author:

Jia ZhongXiao

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11425-013-4571-7.pdf

Reference26 articles.

1. Berns-Müller J, Graham I G, Spence A. Inexact inverse iteration for symmetric matrices. Linear Algebra Appl, 2006, 416: 389–413

2. Berns-Müller J, Spence A. Inexact inverse iteration with variable shift for nonsymmetric generalized eigenvalue problems. SIAM J Matrix Anal Appl, 2006, 28: 1069–1082

3. Daniel G W, Gragg W B, Kaufmann L, et al. Reorthogonalization and stable algorithms for updating the Gram-Schmidt QR factorization. Math Comput, 1976, 30: 772–795

4. Technical Report;I. S. Duff,1992

5. Dul F A. MINRES and MINERR are better than SYMMLQ in eigenpair computations. SIAM J Sci Comput, 1998, 19: 1767–1782

Cited by 4 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. An Inexact Noda Iteration for Computing the Smallest Eigenpair of a Large, Irreducible Monotone Matrix;Mathematics;2024-08-17

2. An orthogonally accumulated projection method for symmetric linear system of equations;Science China Mathematics;2016-04-06

3. A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible $$M$$ M -matrix;Numerische Mathematik;2014-11-21

4. On expansion of search subspaces for large non-Hermitian eigenproblems;Linear Algebra and its Applications;2014-08