| （F,K）-不变凸集与不变凸优化 |
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| 引用本文： | 陈玉欢,张亚红.（F,K）-不变凸集与不变凸优化[J].哈尔滨师范大学自然科学学报,2013(6):9-11. |
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| 作者姓名： | 陈玉欢 张亚红 |
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| 作者单位： | [1]东北林业大学 [2]山东科技大学 |
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| 基金项目： | 中央高校基本科研业务费专项资金资助（DL09BB40,DL09AB04） |
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| 摘 要： | 实向量空间中（F,K）-不变凸集是E-不变凸集的推广.针对约束集为（F,K）-不变凸集的不变凸优化问题给出基于一维搜索的优化算法,与直接采用优化工具箱的函数计算相比,计算结果有显著改善,为非线性优化算法的改进提供了新思路.
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| 关 键 词： | 不变凸集 E-不变凸集 （F K）-不变凸 一维搜索 |
Invex Sets and Invex Optimization |
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| Chen Yuhuan,Zhang Yahong.Invex Sets and Invex Optimization[J].Natural Science Journal of Harbin Normal University,2013(6):9-11. |
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| Authors: | Chen Yuhuan Zhang Yahong |
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| Institution: | 1. Northeast Forestry University ;2. Shandong University of Science and Technology) |
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| Abstract: | In real vector spaces, the （F, K） -invex sets is the extension of the E -invex sets. In this paper, an optimization algorithm based on one -dimensional search is proposed to solve the invex optimization problems whose constraint set is the （ F, K） - invex sets. The computing result of the new optimization algorithm is more remarkable than that from the functions of the Optimization Toolbox. A new idea for the improved nonlinear optimization algorithm is provided by optimization algorithm. |
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| Keywords: | Invex sets E- invex sets （F K） -invex sets One- dimensional search |
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