Preservers of eigenvalue inclusion sets of matrix products

Authors

Nung-Sing Sze
Virginia Forstall, William & Mary
Aaron Herman, William & Mary
Chi-Kwong Li, William & MaryFollow
Vincent Yannello, William & Mary

Document Type

Article

Department/Program

Mathematics

Journal Title

Linear Algebra and Its Applications

Pub Date

2011

Volume

434

Issue

1

First Page

285

Abstract

For a square matrix A, let S(A) be an eigenvalue inclusion set such as the Gershgorin region, the union of Cassini ovals, and the Ostrowski's set. Characterization is obtained for maps Phi on n x n matrices satisfying S(Phi(A)Phi(B)) = S(AB) for all matrices A and B. (C) 2010 Elsevier Inc. All rights reserved.

Recommended Citation

Sze, Nung-Sing; Forstall, Virginia; Herman, Aaron; Li, Chi-Kwong; and Yannello, Vincent, Preservers of eigenvalue inclusion sets of matrix products (2011). Linear Algebra and Its Applications, 434(1), 285-293.
10.1016/j.laa.2010.08.016

DOI

10.1016/j.laa.2010.08.016