摘要
本文应用分块矩阵的等价标准形讨论了线性矩阵方程Ａ（ｍｘｎ）Ｘ（ｎｘｎ）＝Ｂ（ｍｘｎ）有非奇异解的充分必要条件，并给出了一般解的表达式。
In this paper, we have studied consider a necessary and sufficient condition for determining whether a linear matrix equation AmxnXnxn =Bmxn has a non -singular solutions and a general solution is derived by using the canonical form of matrix equivalance.
出处
《延安大学学报（自然科学版）》
1996年第3期26-29,共4页
Journal of Yan'an University：Natural Science Edition
关键词
线性
矩阵方程
非奇异数
充要条件
分块矩阵
Linear matrix equation
non-singular solutions
necessary and sufficient condition
