When is \(B^ -A^ -\) a generalized inverse of \(AB\)?
type: Item
instance of: scholarly article
title: When is \(B^ -A^ -\) a generalized inverse of \(AB\)?
zbMATH Open document ID: 0812.15001
DOI: 10.1016/0024-3795(94)90474-X
author: Hans Joachim Werner
published in: Linear Algebra and its Applications
publication date: 1994-12-01T00:00:00Z
review text: When matrices \(A,B\) are invertible, their inverses satisfy \((AB)^{-1} = B^{-1}A^{-1}\). A matrix \(C^ -\) is a (1)-inverse of a matrix \(C\) if \(CC^ -C=C\). This paper examines when \(B^ -A^ -\) is a generalized inverse of \(AB\).
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 698642
zbMATH Keywords: (1)-inverse
zbMATH Keywords: generalized inverse
reviewed by: Stephen L. Campbell
MaRDI profile type: Publication
cites work: Q3897149
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cites work: Generalized inverse of linear transformations: A geometric approach
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description: scientific article; zbMATH DE number 698642