| 一个新的条件极值的充分条件 |
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| 引用本文： | 石益祥,陈微微. 一个新的条件极值的充分条件[J]. 浙江海洋学院学报(自然科学版), 2004, 23(1): 78-81 |
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| 作者姓名： | 石益祥 陈微微 |
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| 作者单位： | 1. 浙江海洋学院信息学院,浙江,舟山,316004
2. 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.不仅如此,李氏的充分条件要求过高,一般函数难以满足,这妨碍了充分条件的应用.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,并提出一个新的充分性条件.
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| 关 键 词： | 条件极值 充分条件 无约束极值 |
| 文章编号： | 1008-830X(2004)01-0078-04 |
A New Sufficient Condition of Conditional Extreme Value |
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| SHI Yi-xiang,CHEN Wei-wei. A New Sufficient Condition of Conditional Extreme Value[J]. Journal of Zhejiang Ocean University(Natural Science Edition), 2004, 23(1): 78-81 |
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| Authors: | SHI Yi-xiang CHEN Wei-wei |
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| Abstract: | Li Wen-xue puts forward a sufficient condition of conditional extreme value with Lagrange Function,but his proof is wrong.Not only this,the sufficient condition which Li Wen-xue presents has too high condition that common function could not satisfy,so it limits its application.This paper derives out the sufficient condition again and suggests a new sufficient condition of conditional extreme value by eliminating a variable from the restricted equation and changing conditional extreme value into the unconditional extreme value instead of using Lagrange Function. |
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| Keywords: | conditional extreme value sufficient condition unconditional extreme value |
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