Title

Remarks on Lipschitz properties of matrix groups actions

Document Type

Article

Department/Program

Mathematics

Journal Title

Linear Algebra and Its Applications

Pub Date

2011

Volume

434

Issue

6

First Page

1513

Abstract

It is proved that a large class of matrix group actions, including joint similarity and congruence-like actions, as well as actions of the type of matrix equivalence, have local Lipschitz property. Under additional hypotheses, global Lipschitz property is proved. These results are specialized and applied to obtain local Lipschitz property of canonical bases of matrices that are selfadjoint in an indefinite inner product. Real, complex, and quaternionic matrices are considered. (C) 2010 Elsevier Inc. All rights reserved.

DOI

10.1016/j.laa.2010.11.032

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