The \((P,Q)\) generalized reflexive and anti-reflexive solutions of the matrix equation \(AX=B\)
type: Item
instance of: scholarly article
title: The \((P,Q)\) generalized reflexive and anti-reflexive solutions of the matrix equation \(AX=B\)
zbMATH Open document ID: 1168.15008
author: J. Martínez
published in: Applied Mathematics and Computation
publication date: 2009-03-30T00:00:00Z
review text: The paper is concerned with the solutions of a matrix equation \(AX=B\) (over the complex numbers), where \(X\) is subject to one of the conditions \(X=\pm PXQ\); here \(P\) and \(Q\) denote (in the terminology of the authors) ``generalized reflection matrices'', i.~e., \(P^2=I\), \(P^HP=I\), and likewise for \(Q\). Also, the solutions which are nearest to a given matrix (in terms of the Frobenius norm) are considered.
reviewed by: Hans Havlicek
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 5534860
zbMATH Keywords: (\(P, Q\)) generalized reflexive matrix
zbMATH Keywords: (\(P, Q\)) generalized anti-reflexive matrix
zbMATH Keywords: matrix equation
zbMATH Keywords: matrix nearness problem
MaRDI profile type: Publication
full work available at URL: j.amc.2008.12.059
OpenAlex ID: W1493099597
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DOI: 10.1016/J.AMC.2008.12.059
description: scientific article; zbMATH DE number 5534860