Abstract
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 language | English |
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Pages (from-to) | S617-S638 |
Number of pages | 23 |
Journal | Computing |
Volume | 95 |
Issue number | 1 |
DOIs | |
Publication status | Published - May 2013 |
Externally published | Yes |
Event | European Seminar on Computing - Pilsner Urquell Brewery, Pilsen, Czech Republic Duration: 25 Jun 2012 → 29 Jun 2012 http://esco2012.femhub.com/ |
Keywords
- Numerical treatment of subsets of R
- Over approximation of sets
- Systems of sets