Displacement structure of the generalized inverse \(A_{T,S}^{(2)}\)
type: Item
instance of: scholarly article
title: Displacement structure of the generalized inverse \(A_{T,S}^{(2)}\)
zbMATH Open document ID: 1057.15005
author: Susu Li
published in: Applied Mathematics and Computation
publication date: 2004-11-18T00:00:00Z
review text: The author estimates: a) the displacement rank of \( A_{T,S}^{(2)}U-VA_{T,S}^{(2)}\), where \(A_{T,S}^{(2)}\) is the \((2)-\)inverse of \(A\), and b) the general displacement rank, by introducing first a generalized displacement concept.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A03
zbMATH DE Number: 2116547
zbMATH Keywords: (2)-inverse
zbMATH Keywords: structured matrix
zbMATH Keywords: generalized inverse
zbMATH Keywords: displacement rank
reviewed by: Nicholas Karampetakis
MaRDI profile type: Publication
full work available at URL: j.amc.2003.07.002
OpenAlex ID: W2061791868
cites work: Q4061081
cites work: Displacement structure of weighted pseudoinverses
cites work: Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers
cites work: Displacement structure of pseudoinverses
cites work: Displacement structure of generalized inverse matrices
cites work: Displacement ranks of matrices and linear equations
cites work: Displacement Structure: Theory and Applications
cites work: Q4050723
cites work: Q4928195
cites work: On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\)
cites work: (T,S) splitting methods for computing the generalized inverse and rectangular systems∗
cites work: The representation and approximation for the generalized inverse \(A^{(2)}_{T,S}\)
cites work: On integral representation of the generalized inverse \(A_{T,S}^{(2)}\).
cites work: Displacement structure of group inverses
cites work: Condition number related with generalized inverse \(A_{T,S}^{(2)}\) and constrained linear systems
cites work: Perturbation bounds for the generalized inverses \(A_{T,S}^{(2)}\) with application to constrained linear system.
DOI: 10.1016/J.AMC.2003.07.002
description: scientific article; zbMATH DE number 2116547