| 两类复矩阵次亚正定性的判据 |
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| 引用本文： | 杨莹.两类复矩阵次亚正定性的判据[J].许昌师专学报,2010(5):23-26. |
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| 作者姓名： | 杨莹 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西西安710062 |
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| 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Hermite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.
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| 关 键 词： | 次正定 次Hermite矩阵 次亚正定 分块复矩阵 |
Criterion for Minor Positive Semi-definiteness of Partitioned Complex Matricess |
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| YANG Ying.Criterion for Minor Positive Semi-definiteness of Partitioned Complex Matricess[J].Journal of Xuchang Teachers College(Social Science Edition),2010(5):23-26. |
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| Authors: | YANG Ying |
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| Institution: | YANG Ying(College of Mathematics and Information Science,Shanxi Normal University,Xi＇an 710062,China) |
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| Abstract: | 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. |
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| Keywords: | minor positive definiteness semi-Hermite matrices minor positive semi-definiteness partitioned complex matrices |
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