Non-convex systems of sets for numerical analysis

Janosch Rieger

doi:10.1007/s00607-012-0241-9

Non-convex systems of sets for numerical analysis

Janosch Rieger

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

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
Pages (from-to)	S617-S638
Number of pages	23
Journal	Computing
Volume	95
Issue number	1
DOIs	https://doi.org/10.1007/s00607-012-0241-9
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

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10.1007/s00607-012-0241-9

Cite this

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AB - 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.

KW - Numerical treatment of subsets of R

KW - Over approximation of sets

KW - Systems of sets

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Y2 - 25 June 2012 through 29 June 2012

ER -

Non-convex systems of sets for numerical analysis

Abstract

Keywords

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