| 复正定矩阵的性质和分类 |
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| 引用本文： | 黄毅. 复正定矩阵的性质和分类[J]. 成都大学学报(自然科学版), 2013, 32(3): 238-241,246 |
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| 作者姓名： | 黄毅 |
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| 作者单位： | 成都大学信息科学与技术学院,四川成都610106;模式识别与智能信息处理四川省高校重点实验室,四川成都610106 |
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| 摘 要： | 建立了作为广义正定矩阵的复正定矩阵的一些基本性质,总结并给出了实对称正定矩阵、Hermite正定矩阵、亚正定矩阵和复正定矩阵4类正定矩阵之间的相互关系.
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| 关 键 词： | 复正定矩阵 Hermite正定矩阵 主子阵 |
Properties and Classification of Complex Positive Definite Matrices |
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| HUANG Yi. Properties and Classification of Complex Positive Definite Matrices[J]. Journal of Chengdu University (Natural Science), 2013, 32(3): 238-241,246 |
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| Authors: | HUANG Yi |
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| Affiliation: | HUANG Yil＇2 (1 .Sehod of lnformation Science and Teehndogy, Chenglu University, Chengud 610106, China; 2. The Key Laboratory for Pattern Recognition and Intelligent Information Processing of Higher Education Institutes of Sichuan Province, Chengdu 610106, China) |
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| Abstract: | In this paper, we give several basic properties of complex positive definite matrices regarded as generalized positive definite matrices, and show the relationship among four types of positive definite matri- ces, i. e., real symmetric positive definite matrices, Hennitian positive definite matrices, metapositive deft- nite matrices and complex positive definite matrices. |
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| Keywords: | complex positive definite matrix Hemaitian positive definite matrices principal sutmaatrix |
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