【摘要】 首先利用矩阵的广义奇异值分解给出最小二乘问题minXT=-XAXB -C F 解的一般表达式 ,然后从两个方面入手给出矩阵方程AXB =C存在反对称解的充要条件更多还原

【Abstract】 In this paper,by using generalized singular value decomposition,the expression of solution to the least squares problem min X T=-XAXB C F is given,and sufficient and necessary conditions for the existence of anti symmetric solution to the problem for Matrix equation AXB=C are got by using GSVD and by generalized inverses.更多还原