摘要
研究了次正定复矩阵的次Lwner偏序,探讨了次正定复矩阵次Schur补次Lwner偏序的若干性质,得到了几个用低阶复矩阵的次正定性判别高阶复矩阵次正定性的充要条件.
In this paper,the sub-Lwner partial order for the subdefinite complex matrix is studied.Some properties for its sub-Schur complement of the sub-Lwner partial order are discussed.By using these subpartial order,a few necessary and sufficient conditions that determine the subdefinite complex matrices of higher order by the subdefinite complex matrices of lower order are given.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第5期14-18,共5页
Journal of Southwest China Normal University(Natural Science Edition)
基金
宁波市自然科学基金资助项目(2006A610032)
作者简介
郑建青（1965-），女，浙江宁波人，讲师，主要从事矩阵论的研究．
