学术
国际标准刊号：ISSN 0255-7797
国内统一刊号：CN 42-1091
摘 要:
本文研究了次亚正定矩阵子阵的次Lōwner偏序，利用次Lōwner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．[著者文摘]
文章出处:
《数学杂志》-2008年28卷2期 -197-202页
Journal of Mathematics
分 类 号:
文献标识码:
A
文章编号:
0255-7797（2008）02-0197-06
[参考文献]
THE SUB-LōWMER PARTIAL ORDER OF METAPOSITIVE SUBDEFINITE MATRIX
GUO Wei （College of Science ,Chongqing Technology and Business University, Chongqing 400067, China）
Abstract:
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.[著者文摘]
Key words:
metapositive definite matrices; metapositive subdefinite matrices; Sub-Schur complement; sub-Lōwner partial order
收稿日期: 2004-12-31
修订日期: 2005-04-10
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