, Volume 95, Issue 1, pp 617-638

First online:

Non-convex systems of sets for numerical analysis

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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.


Numerical treatment of subsets of \(\mathbb R ^d\) Systems of sets Over approximation of sets

Mathematics Subject Classification (2000)

49J53 65G40 65D18