Bordering method to compute core-EP inverse
type: Item
instance of: scholarly article
title: Bordering method to compute core-EP inverse
zbMATH Open document ID: 1391.15010
author: K. Manjunatha Prasad
author: M. David Raj
published in: Special Matrices
publication date: 2018-06-15T00:00:00Z
review text: Given a square matrix \(A\) of order \(n\) (with real or complex entries), a matrix \(G\) with the same order as \(A\) is called a \textit{core-EP inverse} of \(A\) if \(GAG=G\) and has the property that the column space and the row space of \(G\) are the same as the column space of \(A^d\), for some positive integer \(d\). Using the classical bordering technique, the authors describe a procedure to obtain the core-EP inverse of a given matrix. As an application, they show how to obtain the Drazin index of a matrix.
reviewed by: K. C. Sivakumar
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 6890443
zbMATH Keywords: core-EP inverse
zbMATH Keywords: core-EP generalized inverse
zbMATH Keywords: bordering technique
MaRDI profile type: Publication
full work available at URL: spma-2018-0016
OpenAlex ID: W2806890593
cites work: Core inverse of matrices
cites work: Outer inverses: characterization and applications
cites work: Bordered Matrices
cites work: Q4008990
cites work: Weak generalized inverses and minimum variance linear unbiased estimation
cites work: On bordering of regular matrices
cites work: Core–EP inverse
cites work: On the characterization of generalized inverses by bordered matrices
DOI: 10.1515/SPMA-2018-0016
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description: scientific article; zbMATH DE number 6890443