THE SOLVABILITY CONDITIONS FOR THE INVERSE PROBLEM OF BISYMMETRIC NONNEGATIVE DEFINITE MATRICES

查看全文 作　　者：Dong-xiu [1,2]Xie;Lei [3]Zhang;Xi-yan [2]Hu

机构地区：[1]Department of Applied Mathematics,Dalian University of Technology,Dalian 116023,China;[2]Department of Applied Mathematics,Hunan University,Changsha 410082,China;[3]Hunan Computing Center,Changsha 410012,China

出　　处：《Journal of Computational Mathematics》索引2000年第18卷第6期,共12页

基　　金：the National Nature Science Fundation of China. 摘　　要：A = (aij) Rn is termed bisymmetric matrix if We denote the set of all n×n bisymmetric matrices by BSR. This paper is mainly concerned with solving the following two problems: Problem I. Given X, B E R, find A Pn such that AX = B, where Pn= {A E BSR }. Problem II. Given A* E R find A E SE such that where is Frobenius norm, and SE denotes the solution set of problem I. The necessary and sufficient conditions for the solvability of problem I have been studied. The general form of SE has been given. For problem II the expression of the solution has been provided. 关键词：FROBENIUS NORM Bisymmetric MATRIX The OPTIMAL solution.

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THE SOLVABILITY CONDITIONS FOR THE INVERSE PROBLEM OF BISYMMETRIC NONNEGATIVE DEFINITE MATRICES

参考文献(5)

引证文献(24)

耦合文献(239)

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