| 实正定和反对称矩阵的若干不等式 |
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| 引用本文： | 郑锡陆. 实正定和反对称矩阵的若干不等式[J]. 杭州师范学院学报(自然科学版), 2006, 5(1): 29-31 |
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| 作者姓名： | 郑锡陆 |
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| 作者单位： | 浙江交通职业技术学院,人文系,浙江,杭州,311112 |
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| 摘 要： | 主要研究了实定矩阵的一些相似不变量.关于正定矩阵的迹给出了一组交换条件下的不等式,行列式得到了一个有用的结果,一些著名的矩阵不等式可由其导出.此外还给出了反对称矩阵的相关不等式.
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| 关 键 词： | 实正定矩阵 反对称矩阵 不等式 |
| 文章编号： | 1008-9403(2006)01-0029-03 |
| 修稿时间： | 2005-11-02 |
Several inequalities of real positive definite and skew symmetric matrices |
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| ZHENG Xi-lu. Several inequalities of real positive definite and skew symmetric matrices[J]. Journal of Hangzhou Teachers College(Natural Science), 2006, 5(1): 29-31 |
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| Authors: | ZHENG Xi-lu |
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| Abstract: | This paper concentrates on some properties of positive definite matrices' similar invarirants.For their traces,we give a group of inequalities under the commutative condition.For their determinants,we have obtained a useful result by which some famous inequalities can be deduced,Moreover,some relavant results for skew symmetric matrices are also shown in this paper. |
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| Keywords: | real positive definite matrices skew symmetric matrices inequalities |
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