By this iterative method, the solvability of the equations can be determined automatically, and its reflexive matrix solution or least-norm reflexive matrix solution can be got within finite steps.

该算法可以判断矩阵方程组是否有自反矩阵解，并在有自反矩阵解时，可以在有限步迭代计算之后得到矩阵方程组的一个自反矩阵解或者极小范数自反矩阵解。

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