| 关于条件极值充分条件的重新推导和证明 |
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| 引用本文： | 石益祥,陈微微.关于条件极值充分条件的重新推导和证明[J].大学数学,2004,20(4):121-124. |
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| 作者姓名： | 石益祥 陈微微 |
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| 作者单位： | 浙江海洋学院,信息学院,浙江,舟山,316000;鄞州区姜山镇中学,浙江,宁波,315000 |
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| 摘 要： | 李文学用拉格朗日函数提出求条件极值的充分条件,但他的证明却是错误的.本文不用拉格朗日函数,而是直接通过消去一个变量将条件极值转化成无条件极值,重新推导出充分性条件.推导的过程也是条件极值充分条件的证明过程.
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| 关 键 词： | 条件极值 充分条件 无约束极值 |
| 文章编号： | 1672-1454(2004)04-0121-04 |
| 修稿时间： | 2003年8月3日 |
A New Derivation and Proof of the Sufficient Condition of Conditional Extreme Value |
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| SHI Yi-xiang,CHEN Wei-wei.A New Derivation and Proof of the Sufficient Condition of Conditional Extreme Value[J].College Mathematics,2004,20(4):121-124. |
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| Authors: | SHI Yi-xiang CHEN Wei-wei |
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| Institution: | SHI Yi-xiang~1,CHEN Wei-wei~2 |
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| Abstract: | Wenxue Li put forward a sufficient condition of conditional extreme value with Lagrange function, but his proof is wrong. This text derives out the sufficient condition again no using Lagrange function, but direct eliminating a variable from the side condition to transform conditional extreme value into the unconditional extreme value. The derived course is also the proved course of a sufficient condition. |
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| Keywords: | conditional extreme value sufficient condition unconditional extreme value |
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