| 约束极值拉格朗日乘数法的一个充分条件及其推论 |
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| 引用本文： | 周恒亮.约束极值拉格朗日乘数法的一个充分条件及其推论[J].淮海工学院学报,1996(3). |
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| 作者姓名： | 周恒亮 |
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| 作者单位： | 连云港化工高专基础课部 |
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| 摘 要： | 以二次型形式给出了约束极值拉格朗日乘数法的一个二阶充分条件,并用反证法由拉格朗日中值定理及泰勒公式予以证明;同时进一步加强假设,由引理及上述充分条件得到其推论。
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| 关 键 词： | 约束极值 拉格朗日乘数法 充分条件 二次型 |
Ample Condition and Deduction of Lagrange Multiplier Rule of Constrained Extreme Value |
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| Zhou Hengliang.Ample Condition and Deduction of Lagrange Multiplier Rule of Constrained Extreme Value[J].Journal of Huaihai Institute of Technology:Natural Sciences Edition,1996(3). |
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| Authors: | Zhou Hengliang |
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| Affiliation: | The Department of Elementary Course |
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| Abstract: | With the quadratic form, this paper gives the second order ample condition of Lagrange multiplier rule of constrained extreme value, and fully proves it with the form of coun-terevidence with the help of Lagrange theorem of mean and Taylor formula; meanwhile, further strengthens hypothesis and comes to the deduction according to lemma and the above mentioned ample condition. |
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| Keywords: | constrained extreme value Lagrange multiplier rule ample condition qudratic form |
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