On numerical solving the spherical separability problem

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• 作者：M. Gaudioso ; T. V. Gruzdeva ; A. S. Strekalovsky
• 刊名：Journal of Global Optimization
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：66
• 期：1
• 页码：21-34
• 全文大小：450 KB
• 刊物类别：Business and Economics
• 刊物主题：Economics
  Operation Research and Decision Theory
  Computer Science, general
  Real Functions
  Optimization
  
• 出版者：Springer Netherlands
• ISSN：1573-2916
• 卷排序：66

文摘

The separation problem of two sets, whose convex hulls have a nonempty intersection, is considered. In order to find a solution of the problem algorithms of local and global search are developed. The efficiency of the algorithms is demonstrated by computational simulations on test examples.KeywordsSpherical separationD.C. functionNonsmooth optimizationLocal searchGlobal search