再论线性矩阵方程的解法

The rediscussion of solution methods of linear matrix equations

目的进一步研究线性矩阵方程的解法。方法利用矩阵的初等变换法。结果给出了矩阵方程AX=B,XA=B和AXB=C的新的通解公式和一般解法。结论使已有的相关方法得到改进。

Aim To study ＋he solving methods of linear matrix equations. Methods The elementary transformation of matrix is used. Results It is given that the new general formulae and solving methods of the linear matrix equations AX= B, XA = B and AXB = C. Conclusion The correlated methods are improved.