多元函数总体极小的双参数广义填充函数法  

A GENERALIZED FILLED FUNCTION METHOD FOR FINDING THE GLOBAL MINIMIZER OF A FUNCTION OF SEVERAL VARIABLES

作　　者：庄建南[1] 

机构地区：[1]南京大学

出　　处：《高等学校计算数学学报》1994年第3期279-287,共9页Numerical Mathematics A Journal of Chinese Universities

摘　　要：1 广义填充函数的一般方法 设函数F:R^n→R二阶连续可微,我们的目的是求出x^0∈R^n,使不等式对一切x∈R^n成立,也就是求解函数F的总体极小。 为了求F的总体极小,葛人溥引进了双参数填充函数法,这一方法是有意义的,在[1]中填充函数形式为:In the present paper in terms of a kind of convex functions, the author introduces the concept of generalized filled functions of two parameters. Basing on the generalized filled functions the author suggests a method of finding global minimizer of functions of several variables. Relationships between generalized filled functions and functions that we are considering, several sufficient conditions for the existence of descending directions and ascending directions, and a method of algorithm are studied. The advantage of this work is that for different cases we may choose different generalized filled functions and different values of parameters.

关 键 词：多元函数 总体极小 填充函数 广度 

分 类 号：O22[理学—运筹学与控制论]