Properties and computations of matrix pseudospectra
type: Item
instance of: scholarly article
title: Properties and computations of matrix pseudospectra
zbMATH Open document ID: 1076.65037
author: Yuming Shen
author: Jinxi Zhao
author: Hongjun Fan
published in: Applied Mathematics and Computation
publication date: 2005-02-22T00:00:00Z
review text: The theory of numerical linear dependence, as described by \textit{X.-C. He} [Numer. Math., Nanjing 1, 11--19 (1979; Zbl 0425.65027)], is used to give an alternative definition of the pseudospectrum of an \(m\times n\) matrix. Some properties of pseudospectra are explored and an algorithm for the computation of pseudospectra is given.
reviewed by: Alan L. Andrew
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 15A12
zbMATH DE Number: 2136191
zbMATH Keywords: eigenvalues
zbMATH Keywords: pseudospectra
zbMATH Keywords: QR decomposition
zbMATH Keywords: algorithm
describes a project that uses: Eigtool
MaRDI profile type: Publication
full work available at URL: j.amc.2003.12.067
OpenAlex ID: W1986756625
cites work: On Szegö's eigenvalue distribution theorem and non-Hermitian kernels
cites work: Q5689624
cites work: More on pseudospectra for polynomial eigenvalue problems and applications in control theory
cites work: Q3860743
cites work: Q4879581
cites work: Calculation of Pseudospectra by the Arnoldi Iteration
cites work: Q4288951
cites work: Pseudospectra of Linear Operators
cites work: Q4938350
cites work: Q4938229
cites work: Large-scale computation of pseudospectra using ARPACK and eigs
cites work: Pseudospectra of rectangular matrices
DOI: 10.1016/J.AMC.2003.12.067
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description: scientific article; zbMATH DE number 2136191