Displacement structure of generalized inverse matrices
type: Item
instance of: scholarly article
title: Displacement structure of generalized inverse matrices
zbMATH Open document ID: 0811.15006
DOI: 10.1016/0024-3795(94)90083-3
author: G. Heinig
author: Frank Hellinger
published in: Linear Algebra and its Applications
publication date: 1994-12-01T00:00:00Z
review text: A matrix \(A\) such that, for some matrices \(U\) and \(V\), the matrix \(AU - VA\) or the matrix \(A - VAU\) has a rank which is small compared with the order of the matrix is called a matrix with displacement structure. It is shown that matrices with a \(UV\)-displacement structure possess generalized inverses with a \(VU\)-displacement structure. Estimations for the displacement rank of the generalized inverses are presented.
reviewed by: Giacomo Bonanno
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A03
zbMATH DE Number: 698659
zbMATH Keywords: Sylvester displacement
zbMATH Keywords: Stein displacement
zbMATH Keywords: matrix with displacement structure
zbMATH Keywords: generalized inverses
zbMATH Keywords: displacement rank
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)90083-3
OpenAlex ID: W2029050713
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description: scientific article; zbMATH DE number 698659