| 两类多元函数条件极值的判定 |
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| 引用本文： | 顾友付,刘鹏林,游思明.两类多元函数条件极值的判定[J].苏州市职业大学学报,2011,22(4):38-42. |
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| 作者姓名： | 顾友付 刘鹏林 游思明 |
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| 作者单位： | 1. 江西应用工程职业学院基础部,江西萍乡,337042
2. 萍乡高等专科学校数学系,江西萍乡,337000 |
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| 摘 要： | 对于用拉格朗日乘数法求出多元函数条件极值问题的可疑极值点,利用隐函数存在定理,给出了两类多元函数的条件极值问题的一些适用范围比较广的判定定理,并举例验证该判定定理的有效性.
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| 关 键 词： | 多元函数 条件极值 可疑极值点 判定定理 |
Judgment of Conditional Extremum of Two Multiple Functions |
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| GU You-fu,LIU Peng-lin,YOU Si-ming.Judgment of Conditional Extremum of Two Multiple Functions[J].Journal of Suzhou Vocational University,2011,22(4):38-42. |
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| Authors: | GU You-fu LIU Peng-lin YOU Si-ming |
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| Institution: | GU You-fu1,LIU Peng-lin2,YOU Si-ming1 (1.Department of Basic Education,Jiangxi Vocational College of Applied Engineering,Pingxiang 337042,China,2.Department of Mathematics,Pingxiang College,Pingxiang 337000,China) |
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| Abstract: | Conditional extremum of multiple functions are obtained from Lagrange multiplier method with suspicious extreme points.The paper proposes some judgment theorems of conditional extremum of two multiple functions by using implicit function theorem with examples to verify its effectiveness. |
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| Keywords: | multiple function conditional extremum suspicious extreme point judgment theorem |
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