SOME REMARKS ON THE SPECTRA OF HERMITIAN MATRICES

被引：12

作者：

KOVACSTRIKO, J ^{[1
]}

VESELIC, K ^{[1
]}

机构：

[1] FERNUNIVGESAMTHSCH HAGEN,LEHRGEB MATH PHYS,W-5800 HAGEN,GERMANY

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1991年 / 145卷

关键词：

D O I：

10.1016/0024-3795(91)90298-B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The well-known Cauchy theorem connects the eigenvalues of a Hermitian matrix to the eigenvalues of a principal submatrix by a sequence of interlacing inequalities. In this note we derive some consequences of the assumption that some of these inequalities become equalities or near-equalities. Our results concern the tininess of the coupling off-diagonal block as well as corresponding subspace estimates. © 1991.

引用

页码：221 / 229

页数：9