关于亚半正定矩阵的几个判别条件  

The Necessary and Sufficient Conditions for Semi-positive Subdefinite Matrices

作　　者：欧阳柏玉[1] 

机构地区：[1]湖南师范大学数学系

出　　处：《湖南师范大学自然科学学报》1996年第2期5-9,共5页Journal of Natural Science of Hunan Normal University

摘　　要：主要给出了用低阶矩阵的亚半正定性判定高阶矩阵的亚半正定性的几个等价条件．在讨论中还得出了用低阶矩阵的半正定性来判别高阶矩阵的半正定性的等价条件以及由低阶矩阵的亚正定（正定）性来判定高阶矩阵的亚正定（正定）性的几个等价条件．The necessary and sufficient conditions which determine semi-positive subdefinity of higher order matrices by semi-positive subdefinity of lower ordor matrices are obtained.In the discussion a few equivalent conditions that determine semi-positive definity of higher order matrices by semi-positive definity of lower order matrices are also obtained.

关 键 词：亚半正定阵 半正定阵 亚正定阵 正定阵 

分 类 号：O151.21[理学—数学]