Effect of linear perturbation on spectra of matrices

被引：4

作者：

Alam, R ^{[1
]}

Bora, S ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Gauhati 781039, India

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 368卷

关键词：

spectral variety; stable and unstable eigenvalues; dissociation; epsilon-spectrum; isospectral;

D O I：

10.1016/S0024-3795(02)00692-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given n-by-n matrices A and E, a characterization of the sensitivity of eigenvalues of A with respect to the perturbation A + t E is provided. Distribution of eigenvalues of the family A + t E, t is an element of C, in the complex plane is analyzed and, necessary and sufficient conditions are provided for which A and A + t E are isospectral for all t is an element of C. (C) 2003 Elsevier Science Inc. All rights reserved.

引用

页码：329 / 342

页数：14

共 19 条

[1] Stability of eigenvalues and spectral decompositions under linear perturbation [J].