文献类型：期刊文章

作　　者：谢冬秀[1] 张磊[2] 胡锡炎[1]

机构地区：[1]湖南大学应用数学系,410082 [2]湖南省计算所,410012

出　　处：《计算数学》

基　　金：国家自然科学基金

年　　份：2000

卷　　号：22

期　　号：1

起止页码：29-40

语　　种：中文

收录情况：BDHX、BDHX1996、CSCD、CSCD2011_2012、INSPEC、JST、MR、ZGKJHX、ZMATH、核心刊

摘　　要：A=（aij） ∈Rn×n is termed bisymmetric matrix if We denote the set of all n × n bisymmetric matrices by BSRn×n In this paper, we discuss the following two problems: Problem I. Given X, Find such that Problem Ⅱ. Gived . Find such that where ||·|| is Frobenius norm, and SE is the solution set of Problem I. The general form of SE has been given. The necessary and sufficient conditions have been studied for the special cases AX = B and AX = XA of problem I. For problem Ⅱ the expression of the solution has been provided.

关 键 词：双对称矩阵 矩阵范数 反问题 最小二乘解

分 类 号：O241]