云南师范大学学报（自然科学版）2012，Vol.32Issue(2)：47-52,6.
等约束条件下多元函数条件极值的充分条件
Sufficient Conditions Of Multivariate Function For Conditional Extreme Value Under The Equality Constraints
摘要
Abstract
Sufficient conditions of multivariate function for conditional extreme value under the equality constraints is usually judge with the method of sufficient second differential,although the principle of the method is simple, but computationally intensive, especially with the number of variables and constraint conditions increase, and want to calculate the d2 Land determine the sign becomes more difficult and not feasible. In this paper, by using Lagrange multiplier method, derivation of multivariate implicit function, and the method of conditional extreme reversing unconditional extreme, it has deduced the sufficient conditions of the multi-function extreme, and also presents the theorem as well as a practical method which is easy to calculate, make a theoretical exploration and try from different point of view.关键词
等约束/多元函数/极值/充分条件/定理Key words
equality constraints/multivatrate function/extreme/sufficient conditions/theorem分类
数理科学引用本文复制引用
杨斌,干晓蓉..等约束条件下多元函数条件极值的充分条件[J].云南师范大学学报（自然科学版）,2012,32(2):47-52,6.基金项目
数学天元基金(11126309) （11126309）
昆明理工大学质量工程项目资助. （）
