Perturbation of systems of linear algebraic equations

A classical perturbation result for nonsingular systems of linear algebraic equations is extended to general consistent systems under any norm. An optimal perturbation result is also obtained for general linear least squares problems under a Euclidean norm.

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Bibliographic Details
Published inLinear & multilinear algebra Vol. 47; no. 2; pp. 119 - 127
Main Author Ding, Jiu
Format Journal Article
LanguageEnglish
Published Gordon and Breach Science Publishers 01.04.2000
Subjects
AMS Subject Classifications: 15A09, 65F20
generalized inverse
Least squares solution
Online AccessGet full text
ISSN0308-1087
1563-5139
DOI10.1080/03081080008818637

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Summary:A classical perturbation result for nonsingular systems of linear algebraic equations is extended to general consistent systems under any norm. An optimal perturbation result is also obtained for general linear least squares problems under a Euclidean norm.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081080008818637