摘要
给出了矩阵方程ＡＴＸＢ＝Ｃ在正定和半正定矩阵类中有解的充要条件及解的一般表达式．
In this paper, the necessary and sufficient conditions for the existence, as well as the general expressions of positive definite and semi positive definite solutions of the matrix equations A TXB=C are obtained.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1997年第4期475-480,共6页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词
正定矩阵
半正定矩阵
矩阵方程
解
Generalized Singular Value Decomposition, Positive Definite Matrix, Semi positive Definite Matrix.
