, Volume 95, Issue 1 Supplement, pp 617-638

Non-convex systems of sets for numerical analysis

Purchase on Springer.com

$39.95 / €34.95 / £29.95*

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

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.