讨论矩阵方程组AX=B,XC=D的反对称-正交对称解.由反对称-正交对称矩阵的特殊性质,通过两种方法给出了该矩阵方程组反对称-正交对称解存在的充分必要条件,并且给出了反对称-正交对称解的一般表达形式.
The anti-symmetric ortho-symmetric solution of a class of matrix equations (AX = B,XC = D) is discussed. With special properties of anti-symmetric ortho-symmetric matrices, the necessary and sufficient conditions for the solvability and the general expression of the solutions are obtained by two methods.