关于亚正定矩阵的几个判别条件  

THE NECESSARY AND SUFFICIENT CONDITIONS FOR SUBPOSITIVE DEFINITE MATRICES

作　　者：樊树平[1] 

机构地区：[1]南昌大学数学系,江西南昌330047

出　　处：《南昌大学学报（理科版）》2005年第6期554-555,561,共3页Journal of Nanchang University(Natural Science)

基　　金：江西省自然科学基金资助项目(0411036);江西省教育厅资助课题([2004]100号文)

摘　　要：给出了用低阶矩阵的亚正定性判别高阶矩阵的亚正定性的几个充要条件,在讨论中还得出了用低阶矩阵的正定性来判别高阶矩阵的正定性的几个等价条件。The necessary and sufficient conditions which determine subpositive definite of higher order matrices by subpositive definite of lower order matrices are obtained. In the discussion a few equivalent conditions that determine positive definite of higher order matrices by positive definite of lower order matrices are also obtained.

关 键 词：亚正定矩阵 正定矩阵 分块矩阵 

分 类 号：O151.21[理学—数学]