OPTIMAL APPROXIMATE SOLUTION OF THE MATRIX EQUATION AXB = C OVER SYMMETRIC MATRICES

被引：0

作者：

Anping Liao and Yuan Lei College of Mathematics and Econometrics Hunan University Changsha China ^{[410082
]}

机构：

来源：

Journal of Computational Mathematics | 2007年 / 05期

关键词：

Least-squares solution; Optimal approximate solution; Generalized singular value decomposition; Canonical correlation decomposition;

D O I：

暂无

中图分类号：

O241 [数值分析];

学科分类号：

070102 ;

摘要：

<正> Let SE denote the least-squares symmetric solution set of the matrix equation AXB=C, where A, B and C are given matrices of suitable size. To find the optimal approximate solution in the set SE to a given matrix, we give a new feasible method based on the projection theorem, the generalized SVD and the canonical correction decomposition.

引用

页码：543 / 552

页数：10

共 5 条

[1] 用矩阵分解求解线性矩阵方程的最优解 [J].