鞍点定理在Lagrange乘数法上的应用  

Saddle Point Theorem and its Applications in the Method of Lagrange Multiplier

作　　者：喻方元[1] 于寅[1] 

机构地区：[1]湖北汽车工业学院理学部,湖北十堰442002

出　　处：《大学数学》2009年第2期104-108,共5页College Mathematics

摘　　要：将鞍点的概念运用在Lagrange乘数法上,给出了多元函数的条件极值问题存在的一个充要条件.The sufficient condition author applied the concept of saddle point to the method of Lagrange multipliers, gave a necessary and of the existence of extreme values of constrained functions. The author also put forward some examples to support his result in application.

关 键 词：LAGRANGE乘数法 条件极值 鞍点 鞍点定理 

分 类 号：O178[理学—数学]