两类复矩阵次亚正定性的判据  

Criterion for Minor Positive Semi-definiteness of Partitioned Complex Matricess

作　　者：杨莹[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《许昌学院学报》2010年第5期23-26,共4页Journal of Xuchang University

摘　　要：对两类特殊的分块复矩阵的次亚正定性进行研究,给出了由低阶矩阵的次亚正定判别分块二阶、三阶次Herm ite矩阵的次亚正定性的充要条件,进而将其推广为一般的分块复矩阵的讨论,给出了分块复矩阵的次亚正定性的新判据.In this paper,first sub metapositive semi-definiteness of two special kinds of partitioned complex matrices is studied,and the necessary and sufficient conditions which determine metapositive semi-definiteness of second order partitioned semi-Hermite matrices and three order partitioned semi-Hermite matrices by metapositive semi-definiteness of lower order matrices are obtained.Based on this,general partitioned complex matrices is discussed,and new criterion about metapositive semi-definiteness of partitioned complex matrices is given.

关 键 词：次正定 次HERMITE矩阵 次亚正定 分块复矩阵 

分 类 号：O151.21[理学—数学]