| 单调优化的一种新凸化和凹化方法 |
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| 引用本文： | 陈乔,罗杰.单调优化的一种新凸化和凹化方法[J].成都大学学报(自然科学版),2008,27(4). |
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| 作者姓名： | 陈乔 罗杰 |
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| 作者单位： | 重庆师范大学,数学与计算机科学学院,重庆,400047;重庆师范大学,数学与计算机科学学院,重庆,400047 |
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| 摘 要： | 提出了一个新的凸化、凹化变换,并证明了单调非线性规划总能变换成相应的凹极小化问题或反凸规划或标准D.C规划问题,再利用已有的关于这些规划问题求全局最优解的方法,可以求得原问题的全局最优解.
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| 关 键 词： | 凸化 凹化 单调优化 |
A New Convexification and Concavification Method for Monotone Optimization |
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| CHEN Qiao,LUO Jie.A New Convexification and Concavification Method for Monotone Optimization[J].Journal of Chengdu University (Natural Science),2008,27(4). |
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| Authors: | CHEN Qiao LUO Jie |
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| Institution: | CHEN Qiao,LUO Jie(College of Mathematics , Computer Science,Chongqing Normal University,Chongqing 400047,China) |
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| Abstract: | This paper proposes a new convexfifcation or concavification transformation method to convert a monotone into a convex or concave function.Then the monotone optimization problem can be converted into an equivalent concave minimization problem or reverse convex programming problem or canonic D.C programming problem.Therefore,the global minimizer of the original programming problem can be obtained by the existing algorithms about the converted structured problems. |
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| Keywords: | convexification cancavification monotone optimization global minimizer |
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