INEQUALITIES FOR SELECTED EIGENVALUES OF THE PRODUCT OF MATRICES

被引：5

作者：

Xi, Bo-Yan ^{[1
]}

Zhang, Fuzhen ^{[2
]}

机构：

[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China

[2] Nova Southeastern Univ, Dept Math, 33301 Coll Ave, Ft Lauderdale, FL 33314 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Eigenvalue; Hermitian matrix; inequality; positive semidefinite matrix;

D O I：

10.1090/proc/14529

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues. We present bounds for sums of eigenvalues of such a product.

引用

页码：3705 / 3713

页数：9

共 17 条

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