A note on the representation and approximation of the outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)
type: Item
instance of: scholarly article
title: A note on the representation and approximation of the outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)
zbMATH Open document ID: 1040.15007
DOI: 10.1016/S0096-3003(02)00815-9
author: Nai-Min Zhang
author: Yimin Wei
published in: Applied Mathematics and Computation
publication date: 2003-11-25T00:00:00Z
review text: The authors develop a unified representation and approximation theorem for the outer inverse \(A_{T,S}^{(2)}\), which relax the instructions given by \textit{Y. Chen} and \textit{X. Chen} [Linear Algebra Appl. 308, No. 1--3, 85--107 (2000; Zbl 0957.15002)], \textit{X. Li} and \textit{Y. Wei} [Int. J. Math. Math. Sci. 31, No. 8, 497--507 (2002; Zbl 1016.65019)], and \textit{Y. Wei} and \textit{H. Wu} [Appl. Math. Comput. 135, No. 2--3, 263--276 (2003; Zbl 1027.65048)]. The outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\) is the matrix \(X\) satisfying \(XAX=X,R\left( X\right) =T,N\left( X\right) =S\).
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 65F20
zbMATH DE Number: 2009143
zbMATH Keywords: generalized inverse
zbMATH Keywords: representation
zbMATH Keywords: approximation
zbMATH Keywords: outer inverse
reviewed by: Nicholas Karampetakis
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2009143