线性矩阵方程的非奇异解

On Nonsingular Solution of Linear Matrix Equation

应用分块矩阵的等价标准形 ,讨论了线性矩阵方程Am×nXn×n=Bm×n有非奇异解的充要条件 ,并给出了非奇异解的一般表达式 ,从而推广了文 [4]的结论 .

By applying the equivalent normalized form of desected matrix,the article discusses the sufficient and necessary conditions of linear matrix equation A m×n X n×n =B m×n with nonsingular solution,gives out the general expression formula of nonsingular solution,thus generalizing the conclusion of the 4th point in it.