两类矩阵方程有亚半正定解的充要条件  

THE NECESSARY AND SUFFICIENT CONDITIONS FOR TWO KINDS OF MATRIX EQUATIONS HAVING SEMIPOSITIVE SUBDEFINITE SOLUTIONS

作　　者：何楚宁[1] 

机构地区：[1]湖南师范大学数学系,长沙410081

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

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).

关 键 词：对称矩阵 矩阵方程 充要条件 亚半正定解 

分 类 号：O151.21[理学—数学]