摘要
利用矩阵的广义异值分解,得到了线性矩阵方程AXB=C有中心对称解的充分必要条件,且有解时,给出了其解的一般表达式。另外。
Using the general singular value decomposition of matrices,this paper the necessary and sufficient conditions for the existence of and the expressions for the centro-symmetric soultions of the linear matrix equation AXB=C are given. In addition,in the solution set of corresponding equation,the expression of the optimal approximation soultion to a given in Frobenius norm is derived.
出处
《工程数学学报》
CSCD
北大核心
2003年第6期60-64,共5页
Chinese Journal of Engineering Mathematics
基金
湖南省教育厅资助项目(02C025).
关键词
矩阵
矩阵方程
矩阵范数
最佳逼近
matrix
matrix equation
matrix
norm
optimal approximation
