摘要
本文研究了次亚正定矩阵子阵的次Lwner偏序,利用次Lwner偏序,获得了几个用低阶矩阵的次亚正定性判别高阶矩阵次亚正定性的充要条件.
In this paper,the sub-Lōwner partial order for submatrices of metapositive subdefinite matrix are discussed. By using these subpartial order, a few necessary and sufficient conditions that determine metapositive subdefinite of higher order matrices by metapositive subdefinite of lower order matrices are given.
出处
《数学杂志》
CSCD
北大核心
2008年第2期197-202,共6页
Journal of Mathematics
关键词
亚正定矩阵
次亚正定矩阵
次Schur补
次Lōwner偏序
metapositive definite matrices
metapositive subdefinite matrices
Sub-Schur complement
sub-Lōwner partial order