Eigenvalue Inequalities for Matrix Product

Authors

Fuzhen Zhang, Nova Southeastern UniversityFollow
Qingling Zhang

Document Type

Article

Publication Date

9-1-2006

Publication Title

IEEE Transactions on Automatic Control

Keywords

Trace, Eigenvalue, Inequality, Singular value

ISSN

0018-9286

Volume

51

Issue/No.

9

First Page

1506

Last Page

1509

Abstract

We present a family of eigenvalue inequalities for the product of a Hermitian matrix and a positive-semidefinite matrix. Our theorem contains or extends some existing results on trace and eigenvalues.

NSUWorks Citation

Zhang, Fuzhen and Zhang, Qingling, "Eigenvalue Inequalities for Matrix Product" (2006). Mathematics Faculty Articles. 53.
https://nsuworks.nova.edu/math_facarticles/53

DOI

10.1109/TAC.2006.880787