Remarks on Lipschitz properties of matrix groups actions
type: Item
instance of: scholarly article
title: Remarks on Lipschitz properties of matrix groups actions
zbMATH Open document ID: 1215.15013
author: Leiba Rodman
published in: Linear Algebra and its Applications
publication date: 2011-03-04T00:00:00Z
review text: The author shows 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 a local Lipschitz property and (under additional hypotheses) a global Lipschitz property. The main result is applied to obtain a local Lipschitz property of canonical bases of selfadjoint matrices with respect to an indefinite inner product.
reviewed by: Mihail Voicu
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15A63
zbMATH DE Number: 5860480
zbMATH Keywords: joint similarity
zbMATH Keywords: joint congruence
zbMATH Keywords: Lipschitz property
zbMATH Keywords: canonical bases
zbMATH Keywords: matrix group actions
zbMATH Keywords: matrix equivalence
zbMATH Keywords: selfadjoint matrices
zbMATH Keywords: indefinite inner product
MaRDI profile type: Publication
full work available at URL: j.laa.2010.11.032
OpenAlex ID: W2013015725
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DOI: 10.1016/J.LAA.2010.11.032
description: scientific article; zbMATH DE number 5860480