次正定复矩阵次Lwner偏序的若干性质  

Some Properties for Sub-Lwner Partial Order of the Subdefinite Complex Matrix

作　　者：郑建青[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《西南师范大学学报（自然科学版）》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)

摘　　要：研究了次正定复矩阵的次Lwner偏序,探讨了次正定复矩阵次Schur补次Lwner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-Lwner partial order for the subdefinite complex matrix is studied.Some properties for its sub-Schur complement of the sub-Lwner 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.

关 键 词：共轭次转置矩阵 次正定复矩阵 次Schur补 次Lwner偏序 

分 类 号：O151.21[理学—数学]