{"title":"The Solutions of Matrix Equations (AX = B, XC = D) with a Submatrix Constraint","authors":"Fan-Liang Li, Xiyan Hu, Lei Zhang","doi":"10.1109/ICNC.2008.535","DOIUrl":null,"url":null,"abstract":"In this paper, the solvability conditions and the general solution of matrix equations (AX=B,XC=D) with a submatrix constraint are obtained by using the SVD(singular value decomposition) of matrix. In addition, the expression of the optimal approximation solution to a given matrix is derived.","PeriodicalId":6404,"journal":{"name":"2008 Fourth International Conference on Natural Computation","volume":"20 1","pages":"381-383"},"PeriodicalIF":0.0000,"publicationDate":"2008-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 Fourth International Conference on Natural Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNC.2008.535","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, the solvability conditions and the general solution of matrix equations (AX=B,XC=D) with a submatrix constraint are obtained by using the SVD(singular value decomposition) of matrix. In addition, the expression of the optimal approximation solution to a given matrix is derived.
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