The Moore-Penrose inverse of a factorization
type: Item
instance of: scholarly article
title: The Moore-Penrose inverse of a factorization
zbMATH Open document ID: 1029.15001
DOI: 10.1016/S0024-3795(03)00391-4
author: P. Patrício
published in: Linear Algebra and its Applications
publication date: 2003-08-25T00:00:00Z
review text: Let \(A\) be a von Neumann regular matrix (i.e., \(AXA= A\) is solvable), and let \(P\), \(Q\) be given. Assume that there exist \(P'\) and \(Q'\) such that \(P'PA= A= AQQ'\). Necessary and sufficient conditions are given in order to \(PAQ\) be Moore-Penrose invertible, generalizing previous results.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A23
zbMATH DE Number: 1970621
zbMATH Keywords: matrices over rings
zbMATH Keywords: von Neumann regularity
zbMATH Keywords: Moore-Penrose invertibility
zbMATH Keywords: factorization
zbMATH Keywords: separative regular rings
reviewed by: Witold Więsław
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1970621