Pseudospectra do not determine norm behavior, even for matrices with only simple eigenvalues
type: Item
instance of: scholarly article
title: Pseudospectra do not determine norm behavior, even for matrices with only simple eigenvalues
zbMATH Open document ID: 1231.15013
author: Thomas J. Ransford
author: Jérémie Rostand
published in: Linear Algebra and its Applications
publication date: 2011-09-22T00:00:00Z
review text: The authors present an example of a pair of \(4\times 4\) matrices having identical pseudospectra but whose squares have different norms. The novelty of the example lies in the fact that the matrices in question have only simple eigenvalues.
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 5949260
zbMATH Keywords: matrix norm
zbMATH Keywords: eigenvalue
zbMATH Keywords: singular value
zbMATH Keywords: pseudospectra
describes a project that uses: Eigtool
MaRDI profile type: Publication
full work available at URL: j.laa.2011.05.032
OpenAlex ID: W1978948045
cites work: Super-identical pseudospectra
cites work: On Pseudospectra and Power Growth
cites work: Pseudospectra and matrix behaviour
cites work: Q5694789
DOI: 10.1016/J.LAA.2011.05.032
description: scientific article; zbMATH DE number 5949260