| 一个矩阵迹不等式的推广 |
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| 引用本文： | 翁东东,杨忠鹏.一个矩阵迹不等式的推广[J].聊城大学学报(自然科学版),2002,15(4):15-16. |
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| 作者姓名： | 翁东东 杨忠鹏 |
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| 作者单位： | 1. 泉州师范学院,数学系,福建,泉州,362000
2. 莆田学院,数学系,福建,莆田,351100 |
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| 摘 要： | 证明了Fozi M.DannanJ.Inequal.Pure and Appl.Math,2(3)Art.34.2001]得到的正定Hermitian矩阵迹不等式对一般的Hermitian矩阵也是成立的,同时给出了其等式成立的充分必要条件。
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| 关 键 词： | 正定Hermitian矩阵 Hermitian矩阵 矩阵迹 不等式 推广 |
| 文章编号： | 1007-8304(2002)04-0015-02 |
| 修稿时间： | 2002年9月7日 |
A Generalization of the Trace inequlity of Matrix |
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| WENG Dong-dong,YANG Zhong-peng.A Generalization of the Trace inequlity of Matrix[J].Journal of Liaocheng University:Natural Science Edition,2002,15(4):15-16. |
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| Authors: | WENG Dong-dong YANG Zhong-peng |
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| Abstract: | Recently,the trace inequality involving positive definite Hermitian matrix is established by Fozi M. Dannan J. Inequal Pure and Appl Math, 2 (3) Art, 2001]. We extend this result to any Hermitian matrces,and the necessary and sufficient condition under which equality occur is presented. |
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| Keywords: | positive definite Hermitian matrix Hermitian matrix trace of inequality generalization |
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