Global optimality conditions for nonlinear optimization problems

被引：0
|
作者：
Zhong, Haitao [1 ]
Zheng, Mingfa [1 ]
Chen, Wei [2 ]
Zheng, Aoyu [1 ]
机构：
[1] Air Force Engn Univ, Fundamentals Dept, Xian 710051, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
EVOLUTIONARY INTELLIGENCE | 2024年 / 17卷 / 01期
关键词：
Global optimization; Alternative theorem; 0-1 quadratic programming;
D O I：
10.1007/s12065-022-00725-y
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Based on the alternative theorem, global optimality conditions for nonlinear programming problems to be discussed in this article. Firstly, on the basis of the research of optimality conditions for polynomial optimization problems, the paper considers nonlinear programming over constrains which are not real polynomial functions. And then necessary global optimality conditions for nonlinear programming problems with non-polynomial constraints functions are proposed and sufficient global optimality conditions for polynomial objective function programming problems with non-polynomial constraints functions are developed by using the alternative theorem. Finally, necessary and sufficient global optimality conditions for 0-1 quadratic programming problems are presented.
引用
收藏
页码：291 / 301
页数：11
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