Relative perturbation bounds for the eigenvalues of diagonalizable and singular matrices - Application of perturbation theory for simple invariant subspaces

被引：26
|
作者：
Wei, Yimin [5 ]
Li, Xiezhang
Bu, Fanbin
Zhang, Fuzhen
机构：
[1] Fudan Univ, Key Lab Math Nonlinear Sci, Minist Educ, Shanghai 200433, Peoples R China
[2] Georgia So Univ, Dept Math Sci, Statesboro, GA 30460 USA
[3] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
[4] Nova SE Univ, Div Math Sci & Technol, Ft Lauderdale, FL 33314 USA
[5] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2006年 / 419卷 / 2-3期
基金：
中国国家自然科学基金;
关键词：
diagonalizable and singular matrix; simple invariant subspaces; separation function; relative perturbation bound;
D O I：
10.1016/j.laa.2006.06.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Perturbation bounds for the relative error in the eigenvalues of diagonalizable and singular matrices are derived by using perturbation theory for simple invariant subspaces of a matrix and the group inverse of a matrix. These upper bounds are supplements to the related perturbation bounds for the eigenvalues of diagonalizable and nonsingular matrices. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：765 / 771
页数：7
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