Non-convex systems of sets for numerical analysis

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)


The notion of a system of sets generated by a family of functionals is introduced. A generalization of the classical support function of convex subsets of Rd allows to transfer the concept of the convex hull to these systems of sets. Approximation properties of the generalized convex hull and its use for practical computations are investigated. 

Original languageEnglish
Pages (from-to)S617-S638
Number of pages23
Issue number1
Publication statusPublished - May 2013
Externally publishedYes
EventEuropean Seminar on Computing - Pilsner Urquell Brewery, Pilsen, Czech Republic
Duration: 25 Jun 201229 Jun 2012


  • Numerical treatment of subsets of R
  • Over approximation of sets
  • Systems of sets

Cite this