| 多元函数条件极值的充分条件及其应用 |
| |
| 引用本文： | 袁秀萍.多元函数条件极值的充分条件及其应用[J].四川职业技术学院学报,2003,13(4):106-107. |
| |
| 作者姓名： | 袁秀萍 |
| |
| 作者单位： | 西华师范大学数学系,四川南充,637002 |
| |
| 摘 要： | 拉格朗日乘数法给出了多元函数条件极值的必要条件，本利用正定二次型理论证明多元函数条件极值的一个充分条件．并应用它求解多元函数条件极值问题．
|
| 关 键 词： | 多元函数 条件极值 充分条件 拉格朗日乘数法 正定二次型理论 |
| 文章编号： | 1672-2094(2003)04-0106-02 |
| 修稿时间： | 2003年8月20日 |
The Necessary and Sufficient Condition of the Constrained Extreme Value of the Function of Many Variables and it's Application |
| |
| YUAN Xiu-ping.The Necessary and Sufficient Condition of the Constrained Extreme Value of the Function of Many Variables and it''''s Application[J].Journal of Sichuan Vocational and Technical College,2003,13(4):106-107. |
| |
| Authors: | YUAN Xiu-ping |
| |
| Abstract: | Lagrange multiplier method provides necessary conditions for the constrained extreme value of the function of many variables, so this paper, based on the theory of positive definite quadratic form, proves the sufficient condition for the constrained extreme value of the function of many variables. Applying it, one can solve effectively the problems of the constrained extreme value of the function of many variables. |
| |
| Keywords: | function of many variables constrained extreme value quadric form positive definite negative definite |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
