A sufficient and necessary condition for global optimization

被引：2

作者：

Wu, Dong-Hua ^{[1
,2
]}

Yu, Wu-Yang ^{[3
]}

Zheng, Quan ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[3] Hangzhou Dianzi Univ, Sch Management, Hangzhou 310018, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 01期

关键词：

Global optimization; Optimality condition; Essential infimum;

D O I：

10.1016/j.aml.2009.07.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of global optimization problems, in which the objective function is Lebesgue integrable. In this paper, we present a sufficient and necessary condition for computing the essential infimum. This optimality condition can be used to design algorithms for solving the global optimization problem. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：17 / 21

页数：5

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