A perturbation bound for the eigenvalues of a singular diagonalizable matrix-Reference-Cited by-同舟云学术

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A perturbation bound for the eigenvalues of a singular diagonalizable matrix

Published:2006-07 Issue:2-3 Volume:416 Page:742-744
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Eisenstat Stanley C.

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference4 articles.

1. Norms and exclusion theorems;Bauer;Numer. Math.,1960

2. Generalized Inverses: Theory and Applications;Ben-Israel,2003

3. Three absolute perturbation bounds for matrix eigenvalues imply relative bounds;Eisenstat;SIAM J. Matrix Anal. Appl.,1998

4. Y. Wei, X. Li, F. Bu, F. Zhang, Relative perturbation bounds for the eigenvalues of singular matrices, 2005. Available from: .

Cited by 6 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. Additive Results for the Drazin Inverse;Algebraic Properties of Generalized Inverses;2017

2. Perturbation Bound for the Eigenvalues of a Singular Diagonalizable Matrix;East Asian Journal on Applied Mathematics;2014-02

3. A sharp version of Bauer–Fike’s theorem;Journal of Computational and Applied Mathematics;2012-07

4. A note on additive results for the Drazin inverse;Linear and Multilinear Algebra;2011-12

5. Affine invariant descriptors using principal components analysis;Pattern Recognition and Image Analysis;2008-01

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