摘要
利用矩阵的广义奇异值分解给出最小二乘问题XT=︱XAXB︱CFmin解的一般表达式,从矩阵的广义奇异值分解和Penrose定理2个方面给出矩阵方程AXB=C存在反对称解的充要条件.
By using generalized singular value decomposition of the matrix,the general expression of elution to the least squares problem X T=︱XAXB︱CF min was given,and sufficient and necessary conditions for the existence of anti-symmetric solution to the problem for matrix equation AXB = Cwas got by using generalized singular value decomposition and Penrose theorem.
出处
《高师理科学刊》
2010年第4期15-17,20,共4页
Journal of Science of Teachers＇College and University
关键词
矩阵方程
广义奇异值分解
Penrose定理
反对称解
matrix equation
generalized singular value decomposition
Penrose theorem
anti-symmetric solution
