摘要
给出了任意体上的矩阵方程ＡＸＢ＝Ｃ相容的充要条件及其通解的矩阵算法。
A necessary and sufficient condition for the consistency of the matrix equation AXB=C and a matrix method finding the general solution of it over a skew field are presented. A simple and practical method finding a set of basic solutions of a homogeneous systemn of right linear equations over an arbitrary skew field is also given.
出处
《烟台大学学报（自然科学与工程版）》
CAS
1996年第3期11-14,共4页
Journal of Yantai University(Natural Science and Engineering Edition)
基金
山东省自然科学基金
关键词
矩阵方程
基础解系
基础解阵
弱直积
线性方程组
matrix equation over a skew field
system of basic solutions
basic solution matrix
weak direct product
homogeneous system of right linear equations
