A derivative-free descent method in set optimization

被引：0
|
作者：
Johannes Jahn
机构：
[1] Universität Erlangen-Nürnberg,Department Mathematik
来源：
Computational Optimization and Applications | 2015年 / 60卷
关键词：
Set optimization; Set less order relation; Vectorization; 90C56; 90C29; 06A06;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on a vectorization result in set optimization with respect to the set less order relation, this paper shows how to relate two nonempty sets on a computer. This result is developed for generalized convex sets and polyhedral sets in finite dimensional spaces. Using this approach a numerical method for the determination of optimal scenarios is presented. A new derivative-free descent method for the solution of set optimization problems is given together with numerical results in low dimensions.
引用
收藏
页码：393 / 411
页数：18
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