Relative Perturbation Bounds for Matrix Eigenvalues and Singular Values

被引：0

作者：

Patra A. ^{[1
]}

Srivastava P.D. ^{[1
,2
]}

机构：

[1] Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302, West Bengal

[2] Department of Mathematics, Indian Institute of Technology Bhilai, GEC Campus, Sejbahar, 492015, Raipur, Chhattisgarh

来源：

International Journal of Applied and Computational Mathematics | 2018年 / 4卷 / 6期

关键词：

Diagonalizable matrix; Eigenvalue; Perturbation bound; Singular value;

D O I：

10.1007/s40819-018-0568-9

中图分类号：

学科分类号：

摘要：

In this paper, some new relative perturbation bounds for the eigenvalues of diagonalizable matrices are derived. A relative perturbation bound for singular values is also obtained. The present results improve some existing results. © 2018, Springer Nature India Private Limited.

引用

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