Approximation of the Effective Hull of a Nonconvex Multidimensional Set Given by a Nonlinear Mapping

Approximation of the Effective Hull of a Nonconvex Multidimensional Set Given by a Nonlinear Mapping

A new approach to the approximation of the effective hull of a multidimensional nonconvex compact set given by a nonlinear mapping is proposed. The effective hull of a nonconvex set is an external estimate of this set that is more accurate than its convex hull. Methods are proposed in the case when...

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Veröffentlicht in:Doklady. Mathematics 2018, Vol.97 (1), p.104-108
Hauptverfasser: Kamenev, G. K., Lotov, A. V.
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Approximation
Computer Science
Mapping
Mathematics
Mathematics and Statistics
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container_title Doklady. Mathematics
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Lotov, A. V.
description A new approach to the approximation of the effective hull of a multidimensional nonconvex compact set given by a nonlinear mapping is proposed. The effective hull of a nonconvex set is an external estimate of this set that is more accurate than its convex hull. Methods are proposed in the case when the set to be approximated is the image of a compact set of rather high dimension (several hundred variables); moreover, the mapping can be given by a computational module.
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subjects Approximation
Computer Science
Mapping
Mathematics
Mathematics and Statistics
title Approximation of the Effective Hull of a Nonconvex Multidimensional Set Given by a Nonlinear Mapping
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