中文摘要：

利用交替投影算法求解矩阵方程AXB=C的广义中心对称解,当矩阵方程AXB=C不相容时,利用Dykstra＇s交替投影算法来求其广义中心对称解的最佳逼近,数值结果表明该方法是行之有效的.

英文摘要：

Using alternating projection algorithm, a generalized centrosymmetric solution of matrix equation AXB -= C is found. When the matrix equation is incompatible its best ap- proximation generalized centrosymmetric solution is discussed By Dykstra＇s alternating pro- jection algorithm. Numerical results show that the method is feasible and effective.