Lagrange乘数法的部分应用  

Partial Application of Lagrange Multiplier Method

作　　者：吴吟吟[1] 

机构地区：[1]无锡职业技术学院基础部,江苏无锡214121

出　　处：《无锡职业技术学院学报》2013年第2期44-46,共3页Journal of Wuxi Institute of Technology

摘　　要：Lagrange乘数法主要用于求函数在满足约束条件下的极值问题,但联立方程求驻点及确定条件极值是较困难的事。文章将其应用于条件最值的求解、不等式的证明及隐函数极值的求解,提出在实际解题过程中的技巧,以展现Lagrange乘数法独特而简捷的效果。Lagrange multiplier method is mainly used in finding extreme value under some constraint condi- tions, but it is difficult to solve stable points and decide conditional extremum. This paper is mainly devot- ed to discuss Lagrange multiplier method in solving conditional maxima and minima, proving inequality and solving extremum of implicit function and propose some skills, in order to present the special and direct effect of Lagrange multiplier method.

关 键 词：LAGRANGE乘数法 条件极值 条件最值 

分 类 号：O173.1[理学—数学]