Global optimality conditions for cubic minimization problems with cubic constraints

被引：0
|
作者：
Xue-Gang Zhou
Xiao-Peng Yang
Bing-Yuan Cao
机构：
[1] Guangzhou University,School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education Institutes
[2] Guangdong University of Finance,Department of Applied Mathematics
[3] Hanshan Normal University,Department of Mathematics and Statistics
[4] Guangzhou Vocational College of Science and Technology,undefined
来源：
Mathematical Methods of Operations Research | 2015年 / 82卷
关键词：
Cubic minimization; Global optimality conditions; Quadratic underestimators; 90C26; 90C30;
D O I：
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学科分类号：
摘要：
In this paper, we present global optimality conditions for cubic minimization involving cubic constraints and box or bivalent constraints, where the cubic objective function and cubic constraints contain no cross terms. By utilizing quadratic underestimators, we first derive sufficient global optimality conditions for a global minimizer of cubic minimization problems with cubic inequality and box constraints. Then we establish them for cubic minimization with cubic inequality and bivalent constraints. Finally, we establish sufficient and necessary global optimality condition for cubic minimization with cubic equality and binary constraints.
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页码：243 / 264
页数：21
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