| 一个关于变数和的条件不等式的讨论 |
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| 引用本文： | 黄常春. 一个关于变数和的条件不等式的讨论[J]. 乐山师范学院学报, 2005, 20(5): 1-4 |
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| 作者姓名： | 黄常春 |
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| 作者单位： | 四川大学,数学学院,四川,成都,610064 |
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| 摘 要： | 利用AG不等式，结合微分法，在一定程度推广了文[1]中所提出的不等式，得出了两个简洁优美的结果。然后利用拉格朗日乘数法与隐函数定理，求出了使其中一不等式局部反向的临界值。
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| 关 键 词： | 正定矩阵 海赛矩阵 拉格朗日乘数法 隐函数定理 |
| 文章编号： | 1009-8666(2005)05-0001-04 |
| 修稿时间： | 2004-11-01 |
A Discussion about A Conditional Inequality on the Variable Sum |
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| HUANG Chang-chun. A Discussion about A Conditional Inequality on the Variable Sum[J]. Journal of Leshan Teachers College, 2005, 20(5): 1-4 |
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| Authors: | HUANG Chang-chun |
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| Abstract: | In this paper, the author uses the AG inequality, combined with the differential method, to generalize the inequality which are put forward in reference [1] to some extent, then gain several concise and graceful results. Furthermore, utilizing the Lagrange method of multipliers and the implicit theorem to work out the critical value which makes one of those inequality locally inverted. |
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| Keywords: | positive definite matrix Hessian matrix Lagrange method of multipliers implicit theorem |
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