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.
出处
《湖南师范大学自然科学学报》
CAS
1996年第2期5-9,共5页
Journal of Natural Science of Hunan Normal University
关键词
亚半正定阵
半正定阵
亚正定阵
正定阵
semipositive subdefinite matrix
semipositive definite matrix
positive subdefintie
positive definite matrix
