COMMUTATIVITY AND SPECTRA OF HERMITIAN MATRICES

被引：80

作者：

SO, WS

机构：

[1] Division of Mathematical, Information Sciences Sam Houston State University Huntsville

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1994年 / 212卷

关键词：

D O I：

10.1016/0024-3795(94)90399-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If two Hermitian matrices commute, then the eigenvalues of their sum are just the sums of the eigenvalues of the two matrices in a suitable order. Examples show that the converse is not true in general. In this paper, partial converses are obtained. The technique involves a characterization of the equality cases for Weyl's inequalities. Moreover, a new proof on the commutativity of two Hermitian matrices with property L and analogous results for the product of two positive definite Hermitian matrices are included.

引用

页码：121 / 129

页数：9