, Volume 95, Issue 1 Supplement, pp 617-638
Date: 27 Nov 2012

Non-convex systems of sets for numerical analysis

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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 \(\mathbb R ^d\) 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.