解矩阵方程AX+YB=D与AX+XB=D的迭代方法

A ITERATIVE METHOD FOR SOLVING THE MATRIX EQUATIONS AX+YB=D AND AX+XB=D

讨论了矩阵方程ＡＸ＋ＹＢ＝Ｄ与ＡＸ＋ＸＢ＝Ｄ的迭代算法，给出了算法收敛的充分必要条件。

A iterative method for soluing the matrix equations AX+YB=D and AX+YB=D is presented, The necessary and sufficient conditions of convergence for this method is given, finally, a numerical example for the matrix equation AX+YB=D is given, The resnlt shouss the method is coorect.