Condition numbers and structured perturbation of the \(W\)-weighted Drazin inverse
type: Item
instance of: scholarly article
title: Condition numbers and structured perturbation of the \(W\)-weighted Drazin inverse
zbMATH Open document ID: 1077.15006
author: Ching-Wah Woo
author: Tian-Gang Lei
author: Yimin Wei
published in: Applied Mathematics and Computation
publication date: 2005-06-13T00:00:00Z
review text: The authors show a generalization to the \(W\)-weighted Drazin inverse for rectangular matrices of the well-known formula for the condition number \(\text{ cond}(A)=\| A\| \| A^{-1}\| \) valid for nonsingular \(A\). In addition, an explicit expression for the \(W\)-weighted Drazin inverse of a perturbed matrix is developed under special assumptions.
Mathematics Subject Classification ID: 15A12
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 2175424
zbMATH Keywords: condition number
zbMATH Keywords: W-Weighted Drazin inverse
zbMATH Keywords: perturbation
reviewed by: Néstor Thome
MaRDI profile type: Publication
full work available at URL: j.amc.2004.04.044
OpenAlex ID: W2094012046
cites work: Q3207128
cites work: Q4037758
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cites work: Q5689624
cites work: Condition numbers and their condition numbers
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cites work: A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution
cites work: Integral representation of the \(W\)-weighted Drazin inverse
cites work: Condition number of Drazin inverse and their condition numbers of singular linear systems.
cites work: A note on the perturbation of the \(W\)-weighted Drazin inverse.
DOI: 10.1016/J.AMC.2004.04.044
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description: scientific article; zbMATH DE number 2175424