Title

Lipschitz properties of structure preserving matrix perturbations

Document Type

Article

Department/Program

Mathematics

Journal Title

Linear Algebra and Its Applications

Pub Date

2012

Volume

437

Issue

7

First Page

1503

Abstract

It is proved that, under small perturbations that preserve the Jordan structure, canonical transformation matrices have the Lipschitz property. Analogous result is proved for matrices under additional structure, such as Hamiltonian, skew-Hamiltonian, and symplectic. Both real and complex cases are considered. (C) 2012 Elsevier Inc. All rights reserved.

DOI

10.1016/j.laa.2012.04.047

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