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Global optimality conditions and optimization methods for constrained polynomial programming problems

delete2015-07-01
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OA
AI
Z
Zhiyou Wu *
J
Jing Tian
J
Julien Ugon
L
Liang Zhang
DOI:10.1016/j.amc.2015.04.040delete
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摘要

摘要

En 中文
The general constrained polynomial programming problem (GPP) is considered in this paper. Problem (GPP) has a broad range of applications and is proved to be NP-hard. Necessary global optimality conditions for problem (GPP) are established. Then, a new local optimization method for this problem is proposed by exploiting these necessary global optimality conditions. A global optimization method is proposed for this problem by combining this local optimization method together with an auxiliary function. Some numerical examples are also given to illustrate that these approaches are very efficient. (C) 2015 Elsevier Inc. All rights reserved.
Keyword:
Constrained polynomial programming
Problem
Necessary global optimality condition
Linear transformation
Local optimization method
Global optimization method
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期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

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F
Federation University Australia
学者数:
2.0K
论文数: 2.3K
被引数: 17
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Chongqing Normal University
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3.3K
论文数: 2.7K
被引数: 3.8K
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