利用矩阵对的标准相关分解得到线性流形上矩阵方程A^TXA=B的对称次反对称最小二乘解,以及存在对称次反对称解的充分必要条件,并且分别给出了解的一般表达式.
By applying the canonical correlation decomposition of matrix pairs, we obtain the Symmetric and Skew - symmetric least - squares solution of the matrix equation on linear manifold. At the same time, the necessary and sufficient conditions for the solvability and the general solutions of the problems are presented.