| Hermite正定对称矩阵迹的一些结果(英文) |
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| 引用本文： | 冯天祥,刘红霞.Hermite正定对称矩阵迹的一些结果(英文)[J].数学杂志,2012,32(2):263-268. |
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| 作者姓名： | 冯天祥 刘红霞 |
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| 作者单位： | 东莞职业技术学院基础部,广东东莞,523808 |
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| 基金项目： | Supported by the Essence Course “Basic Mathematics for Computer”of Dongguan Polytechnic (2010J005) |
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| 摘 要： | 本文研究了一类Hermite正定矩阵迹的不等式问题.利用文献2-6]中的结果以及放缩法,获得了Hermite正定矩阵迹的极值定理、杨氏不等式和贝努利不等式,并且将许多初等不等式推广到Hermite正定矩阵迹的情形.
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| 关 键 词： | Hermite矩阵 极值定理 杨氏不等式 贝努利不等式 |
SEVERAL RESULTS ON THE TRACE OF HERMITE POSITIVE DEFINITE SYMMETRIC MATRIX |
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| FENG Tian-xiang
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LIU Hong-xia.SEVERAL RESULTS ON THE TRACE OF HERMITE POSITIVE DEFINITE SYMMETRIC MATRIX[J].Journal of Mathematics,2012,32(2):263-268. |
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| Authors: | FENG Tian-xiang LIU Hong-xia |
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| Institution: | (Department of Basic,Dongguan Polytechnic,Dongguan 523808,China) |
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| Abstract: | Several inequalities for Hermite positive definite symmetric matrix trace are studied in this paper.By several existing results in 2-6] and scaling methods,the extreme value theorem,Young inequality and Bernoulli inequality of the trace of Hermite positive definite matrix are obtained.Also,it finds that many elementary mathematics inequalities can be extended to the case of Hermite positive definite symmetric matrix trace. |
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| Keywords: | Hermite matrix extreme value theorem Young inequality Bernoulli inequality |
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