Perturbation theory for the generalized Bott-Duffin inverse and its applications
type: Item
instance of: scholarly article
title: Perturbation theory for the generalized Bott-Duffin inverse and its applications
zbMATH Open document ID: 1030.65028
DOI: 10.1016/S0096-3003(01)00041-8
author: Guo-Ming Liu
author: Yifeng Xue
author: Guoliang Chen
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: The constrained inverse of a square matrix was introduced by \textit{R. Bott} and \textit{R. J. Duffin} [Trans. Am. Math. Soc. 74, 99-109 (1953; Zbl 0050.25104)]. At present, few research results of the perturbation analysis for the generalized Bott-Duffin inverse (GBD) are known. In this paper, the authors first discuss the perturbation of GBD and study its condition number and then present the error bound for the solution of linear constrained system by means of GBD.
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 1861086
zbMATH Keywords: Bott-Duffin inverse
zbMATH Keywords: perturbation theory
zbMATH Keywords: condition number
zbMATH Keywords: linear constrained system
zbMATH Keywords: error bound
reviewed by: R. P. Tewarson
MaRDI profile type: Publication
cites work: On the Algebra of Networks
cites work: Q4061081
cites work: Perturbation analysis of the least squares solution in Hilbert spaces
cites work: Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces
cites work: The expression of the generalized inverse of the perturbed operator under Type I perturbation in Hilbert spaces
cites work: The generalized Bott-Duffin inverse and its applications
cites work: Q3998482
cites work: A Cramer rule for finding the solution of a class of singular equations
full work available at URL: s0096-3003(01)00041-8
OpenAlex ID: W1993853488
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description: scientific article; zbMATH DE number 1861086