摘要
本文研究了两类线性矩阵方程AXB+CYD=E层的求解问题,利用广义逆矩阵,给出了前一类方程有解的充要条件及有解时一般解的显式。以及后一类方程有解的克要条件及有解时一般解的拉直形式。
In this paper, the problem of solving the matrix equations AXB+CYD=Eand AXB+CXD=E is discussed. The necessary and sufficient condition of the consistency and the general solution of first equation are obtained. The consistent condition and the general solution of second equation are also obtained, but they are expressed in a special matrix-vector version.
出处
《南京师大学报（自然科学版）》
CAS
CSCD
1991年第1期9-15,24,共8页
Journal of Nanjing Normal University(Natural Science Edition)
基金
国家自然科学基金
关键词
矩阵方程
广义逆阵
Kornecker积
Kronecker product, Generalized inverse of a matrix, Matrix equation.
