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Volume 24, Issue 2
The Eigenvalue Perturbation Bound for Arbitrary Matrices

Wen Li & Jian-Xin Chen

J. Comp. Math., 24 (2006), pp. 141-148.

Published online: 2006-04

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  • Abstract

In this paper we present some new absolute and relative perturbation bounds for the eigenvalue for arbitrary matrices, which improves some recent results. The eigenvalue inclusion region is also discussed.

  • Keywords

Eigenvalue perturbation bound, Jordan canonical form, Frobenius norm, Spectral norm, Inclusion region.

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COPYRIGHT: © Global Science Press

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@Article{JCM-24-141, author = {Wen Li and Jian-Xin Chen}, title = {The Eigenvalue Perturbation Bound for Arbitrary Matrices}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {2}, pages = {141--148}, abstract = {

In this paper we present some new absolute and relative perturbation bounds for the eigenvalue for arbitrary matrices, which improves some recent results. The eigenvalue inclusion region is also discussed.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8740.html} }
TY - JOUR T1 - The Eigenvalue Perturbation Bound for Arbitrary Matrices AU - Wen Li & Jian-Xin Chen JO - Journal of Computational Mathematics VL - 2 SP - 141 EP - 148 PY - 2006 DA - 2006/04 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8740.html KW - Eigenvalue perturbation bound, Jordan canonical form, Frobenius norm, Spectral norm, Inclusion region. AB -

In this paper we present some new absolute and relative perturbation bounds for the eigenvalue for arbitrary matrices, which improves some recent results. The eigenvalue inclusion region is also discussed.

Wen Li and Jian-Xin Chen. (2006). The Eigenvalue Perturbation Bound for Arbitrary Matrices. Journal of Computational Mathematics. 24 (2). 141-148. doi:
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