On Regular Simplex Refinement in Copositivity Detection

Paula Alexandra da Costa Amaral, José Manuel García Salmerón, Leocadio G. Casado, Antanas Zilinskas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Over the last decades checking copositivity of matrices by simplicial subdivision of the unit simplex has made a big progress. Recently it has been showing that surprisingly the use of regular sim-plicial subdivisions may have some advantage over traditional iterative bisection of simplices. In this contribution we pose the question whether regular subdivisions may provide opportunities in copositivity testing.

Original languageEnglish
Title of host publicationProceedings of the XIII Global Optimization Workshop, eds. Rocha, A.M.A.C., Costa, M.F.P. and Fernandes
EditorsRocha Helena
Pages163-166
ISBN (Electronic)978-989-20-6764-3
Publication statusPublished - 2016

Keywords

  • Copositive matrix
  • Simplicial refinement
  • Unit simplex
  • Regular refinement

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