矩阵方程AXB+CYD+EZF=G的通解

GENERAL SOLUTION OF MATRIX EQUATION AXB+CYD+EZF=G

利用含两个未知矩阵X、Y的矩阵方程AXB+CYD=G解的相容性、唯一性以及通解,来讨论含三个未知矩阵X、Y、Z的方程AXB+CYD+EZF=G解的相容性。

The matrix equation AXB+CYD+EZF=G which contains three matrixes X,Y and Z of unknowns are studied about general solution,consistency of solution and unicity of solution.