摘要
本文给出了矩阵方程(Ⅰ)AXAT+BYBT=C,(Ⅱ)(ATXA,BTXB)=(C,D)有亚半正定解的充要条件.
In this paper,the necessary and sufficient conditions are obtained for the exlstence of general semipositive subdefinite solutions to the following matrix equations:(Ⅰ ) AXAT+BYBT=C, (Ⅱ) (ATXA,BTXB)= (C,D).
出处
《湖南教育学院学报》
1998年第5期95-100,共6页
Journal of Hunan Educational Institute
关键词
对称矩阵
矩阵方程
充要条件
亚半正定解
semipositive subdifinite
symmetric semipositive definite
generalized singular value decomposition