Full-column rank solutions of the matrix equation \(AV\)=\(EVJ\)
type: Item
instance of: scholarly article
title: Full-column rank solutions of the matrix equation \(AV\)=\(EVJ\)
zbMATH Open document ID: 1055.15025
DOI: 10.1016/S0096-3003(03)00538-1
author: Xian Zhang
author: Steve Thompson
author: Guangren Duan
published in: Applied Mathematics and Computation
publication date: 2004-08-06T00:00:00Z
review text: Necessary and sufficient conditions are derived for the existence of a full-column rank solution \(V\in\mathbb{C}^{n\times m}\) of the linear matrix equation \(AV= EV J\), where \(A,E\in\mathbb{C}^{n\times n}\) and \(J\in\mathbb{C}^{m\times m}\) are given matrices such that the matrix pencil \(\lambda E- A\) is regular. Such equations arise in the theory of descriptor linear systems \(Ex'= Ax+ Bu\).
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 2082093
zbMATH Keywords: linear matrix equations
zbMATH Keywords: full-rank solutions
zbMATH Keywords: regular matrix pair
zbMATH Keywords: descriptor liner system
reviewed by: Mihail M. Konstantinov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2082093