On measures of nonnormality of matrices
type: Item
instance of: scholarly article
title: On measures of nonnormality of matrices
zbMATH Open document ID: 0621.15014
DOI: 10.1016/0024-3795(87)90253-9
author: M. H. C. Paardekooper
author: Ludwig Elsner
published in: Linear Algebra and its Applications
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://pub.uni-bielefeld.de/record/1780377
review text: A matrix is normal if one of at least 10 different, but equivalent, equations hold. 17 different computable quantities, which all are zero at the set of normal matrices, are compared to each other. It is claimed that any of them is a candidate to being a measure of the nonnormality of a matrix.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 4006444
zbMATH Keywords: normal matrices
zbMATH Keywords: measure of the nonnormality
reviewed by: Axel Ruhe
MaRDI profile type: Publication
OpenAlex ID: W2073891589
cites work: Q5737099
cites work: On Measures of Non-Normality for Matrices
cites work: Q5534600
cites work: Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
cites work: The variation of the spectrum of a normal matrix
cites work: On non-normal matrices
cites work: Nonnormality and Jordan Condition Numbers of Matrices
cites work: Q5331504
cites work: Q5607531
cites work: On the closeness of eigenvalues and singular values for almost normal matrices
cites work: The condition numbers of the matrix eigenvalue problem
cites work: Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
description: scientific article; zbMATH DE number 4006444