| 关于三元函数极值的探讨 |
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| 引用本文： | 周先锋,王晓佳. 关于三元函数极值的探讨[J]. 合肥学院学报(自然科学版), 2008, 18(1): 12-14 |
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| 作者姓名： | 周先锋 王晓佳 |
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| 作者单位： | 安徽大学,数学与计算科学学院,合肥,230039;合肥工业大学,数学系,合肥,230009 |
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| 基金项目： | 国家自然科学基金 , 安徽省教育厅科研项目 , 安徽省教育厅自然科学基金 , 安徽省教育厅科研项目 |
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| 摘 要： | 首先讨论了三元函数的条件极值，利用参数方程法得到了三元函数条件极值是否存在的判定定理；其次讨论了三元函数的无条件极值问题，得到了极值存在的几个判别准则．
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| 关 键 词： | 三元函数 极值 条件极值 |
| 文章编号： | 1673-162X(2008)01-0012-03 |
| 修稿时间： | 2007-11-22 |
Research on Extremum of Function with Three Variables |
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| ZHOU Xian-feng,WANG Xiao-jia. Research on Extremum of Function with Three Variables[J]. Journal of Hefei University(Natural Sciences Edition), 2008, 18(1): 12-14 |
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| Authors: | ZHOU Xian-feng WANG Xiao-jia |
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| Affiliation: | ZHOU Xian-feng ,WANG Xiao-jia ( 1. School of Mathematics and Computational Science, Anhui University, Hefei 230039 ; 2. Department of Mathematics, Hefei University of Technology, Hefei 230009, China) |
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| Abstract: | Conditional extremum of function with three variables are discussed first and the criteria, if extremum exists, is obtained by the method of parameter equation. Then extremum of function with three variables without condition restricted are discussed and several criteria on extremum are obtained. |
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| Keywords: | function with three variables extremum conditional extremum |
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