摘要
本文研究一类广义对称矩阵反问题的有解条件 .给出问题 P有解的充要条件 .
In this paper,the following problem is considered: Problem P Give G∈R n×m ,and Let Y∈R m×q ,X∈R n×p ,B∈R q×p ,find A∈GSR m×n such that Y TAX=B where GSR m×n ={A∈R m×n |GA∈SR n×n } . By using the generalized inverses of matrices,the necessary and sufficient conditions for the Problem P having a solution is studied.The expressions for the general solutions of the Problem P are also given.
出处
《数学理论与应用》
2003年第2期13-15,共3页
Mathematical Theory and Applications
关键词
广义对称矩阵
反问题
可解性
矩阵方程
general symmetric matrix inverse problem generalized inverses
