Global optimality conditions for mixed nonconvex quadratic programs

被引：14
|
作者：
Wu, Z. Y. [1 ]
Bai, F. S. [2 ]
机构：
[1] Univ Ballarat, Sch Informat Technol & Math Sci, Ballarat, Vic 3353, Australia
[2] Chongqing Normal Univ, Sch Math & Comp Sci, Chongqing, Peoples R China
来源：
OPTIMIZATION | 2009年 / 58卷 / 01期
基金：
澳大利亚研究理事会;
关键词：
mixed quadratic program; global optimality; sufficient conditions; necessary conditions;
D O I：
10.1080/02331930701761243
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this article, we present some global optimality conditions for mixed quadratic programming problems. Our approach is based on a L-subdifferential and an associated L-normal cone. Unlike most subdifferentials, the L-subdifferential is formed by functions that are not necessarily linear functions. We derive some sufficient and necessary global optimality conditions for mixed quadratic programs with box constraints and binary constraints.
引用
收藏
页码：39 / 47
页数：9
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