一类条件极值判定的拉格朗日方法  

The Lagrangian Method to a Class of Conditional Extremum Problems

作　　者：吴燕春 胡凯[2] WU Yan-chun;HU Kai(Chongqing Nankai Middle School, Chongqing 400030, China;School of Mathematics and Statistics, Southwest University, Chongqing 400715, China)

机构地区：[1]重庆市南开中学,重庆400030 [2]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2018年第6期97-100,共4页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11426185)

摘　　要：研究了多元函数条件极值的充分条件与判定方法,建立了可行集M与变分空间V(P0)上的点之间的联系.利用二者间关键的误差估计,给出了条件极值判定定理的简化证明.In this paper,the sufficient conditions and determination method of the conditional extremum of multivariate functions are studies,and a connection is established between the points on the feasible set M and the variational set V（P0）.By a critical error estimate of the two sets,the proof of the conditional extremum theorem is remarkably simplified.

关 键 词：条件极值 拉格朗日乘数法 充分条件 

分 类 号：O177.99[理学—数学]