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(F,K)-不变凸集与不变凸优化

Invex Sets and Invex Optimization
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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. 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.
出处 《哈尔滨师范大学自然科学学报》 CAS 2013年第6期9-11,共3页 Natural Science Journal of Harbin Normal University
基金 中央高校基本科研业务费专项资金资助(DL09BB40 DL09AB04)
关键词 不变凸集 E-不变凸集 (F K)-不变凸 一维搜索 Invex sets E- invex sets (F, K) -invex sets One- dimensional search
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