Constrained solutions of a system of matrix equations
type: Item
instance of: scholarly article
title: Constrained solutions of a system of matrix equations
zbMATH Open document ID: 1268.15015
DOI: 10.1155/2012/471573
author: Qing-Wen Wang
author: Juan Yu
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: We derive necessary and sufficient conditions and the expressions for the orthogonal solutions, the symmetric orthogonal solutions, and the skew-symmetric orthogonal solutions of the system of matrix equations \(AX = B\) and \(XC = D\), respectively. When the matrix equations are not consistent, the least squares symmetric orthogonal solutions and the least squares skew-symmetric orthogonal solutions are respectively given. As an auxiliary, an algorithm is provided to compute the least squares symmetric orthogonal solutions, and meanwhile an example is presented to show that it is reasonable.
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15B10
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 6169915
zbMATH Keywords: orthogonal solutions
zbMATH Keywords: symmetric orthogonal solutions
zbMATH Keywords: skew-symmetric orthogonal solutions
zbMATH Keywords: system of matrix equations
zbMATH Keywords: least squares symmetric orthogonal solutions
zbMATH Keywords: least squares skew-symmetric orthogonal solutions
zbMATH Keywords: algorithm
Wikidata QID: Q58905935
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/471573
OpenAlex ID: W2094718344
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DBLP publication ID: journals/jam/WangY12b
description: scientific article; zbMATH DE number 6169915