The bounds of the eigenvalues for rank-one modification of Hermitian matrix

被引：3

作者：

Cheng, Guanghui ^{[1
]}

Song, Zhida ^{[2
]}

Yang, Jianfeng ^{[2
]}

Si, Jia ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Microelect & Solid State Elect, Chengdu 611731, Sichuan, Peoples R China

来源：

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 2014年 / 21卷 / 01期

关键词：

bounds for eigenvalues; Hermitian matrix; rank-one modification; EIGENPROBLEM;

D O I：

10.1002/nla.1867

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some new interlacing properties about the bounds of the eigenvalues for rank-one modification of Hermitian matrix, whose eigenvalues are different and spectral decomposition also needs to be known. Numerical examples demonstrate the efficiency of the proposed method and support our theoretical results.Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：98 / 107

页数：10