On relative residual bounds for the Eigenvalues of a Hermitian matrix

被引：14

作者：

Drmac, Z

机构：

[1] Department of Computer Science, University of Colorado at Boulder, Boulder, CO

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1996年 / 244卷

关键词：

D O I：

10.1016/0024-3795(94)00221-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H be a Hermitian matrix, X an orthonormal matrix, and M = X*HX. Then the eigenvalues of M approximate some eigenvalues of H with an absolute error bounded by \\HX - XM\\(2). The main interest in this work is the relative distance between the eigenvalues of M and some part of the spectrum of H. It is shown that distance depends on the angle between the ranges of X and HX.

引用

页码：155 / 163

页数：9