摘要
本文利用矩阵对的广义奇异值分解,得到了(AX,XB) =(C,D)有反中心对称解的充要条件,并给出了其通解的一般表达式,此外,还给出了此矩阵方程的解集合与给定矩阵的最佳逼近的表达式.
By applying the generalized singular value decomposition(GSVD) of matrix pairs,we obtain the necessary and sufficient condition for the existence and the expressions for the anti-centro symmetric solutions of the matrix equation (AX,XB)=(C,D).In addition,the expression of the optimal approximation solution to the given matrix is derived.
出处
《数学理论与应用》
2005年第1期86-90,共5页
Mathematical Theory and Applications
