| 矩阵不等式及正定方阵的复合阵 |
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| 引用本文： | 谭国律,戴正德.矩阵不等式及正定方阵的复合阵[J].云南大学学报(自然科学版),1994,16(4):347-353. |
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| 作者姓名： | 谭国律 戴正德 |
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| 作者单位： | 上饶师范专科学校，云南大学 |
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| 摘 要： | 本文在非对称实矩阵正定性意义下，定义了矩阵不等式，并讨论了这种不等式的众多性质，给出了若干新的结果．最后，给出了正定方阵的复合阵仍为正定方阵的充要条件．
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| 关 键 词： | 正定方阵，矩阵不等式，复合阵 |
The Matrix Inequalities and Compound Matrix of Positive Definite Real Square Matrix |
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| Tan Guolu.The Matrix Inequalities and Compound Matrix of Positive Definite Real Square Matrix[J].Journal of Yunnan University(Natural Sciences),1994,16(4):347-353. |
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| Authors: | Tan Guolu |
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| Abstract: | In the meaning of the positive definition on non-symmetric real matrix,this paper introduced matrix inequalities and given a series new results.In the end,Weobtained the necessary and sufficient condition that the compound matrix of positive defi-nite real square matrix is also a positive definite real square matrix. |
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| Keywords: | Positive definiteness of real square matrix matrix inequalities com-pound matrix |
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