Inequalities for Selected Eigenvalues of the Product of Matrices

Authors

Bo-Yan Xi, Inner Mongolia University for Nationalities - Tongliao City, China
Fuzhen Zhang, Nova Southeastern UniversityFollow

Document Type

Article

Publication Date

9-2019

Publication Title

Proceedings of the American Mathematical Society

Keywords

Eigenvalue, Hermitian matrix, Inequality, Positive semidefinite matrix

ISSN

0002-9939

Volume

147

Issue/No.

9

First Page

3705

Last Page

3713

Abstract

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.

Comments

©2019 American Mathematical Society

Additional Comments

National Natural Science Foundation of China grant #: 11361038

NSUWorks Citation

Xi, Bo-Yan and Zhang, Fuzhen, "Inequalities for Selected Eigenvalues of the Product of Matrices" (2019). Mathematics Faculty Articles. 263.
https://nsuworks.nova.edu/math_facarticles/263

DOI

10.1090/proc/14529