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.
Recommended Citation
Rodman, Leiba, Lipschitz properties of structure preserving matrix perturbations (2012). Linear Algebra and Its Applications, 437(7), 1503-1537.
10.1016/j.laa.2012.04.047
DOI
10.1016/j.laa.2012.04.047