2018•Doklady MathematicsRequires access

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

G. K. Kamenev, А. В. Лотов

Abstract

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.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Convex hull, Hull, Mathematics, Set (abstract data type), Compact space, Dimension (graph theory), Nonlinear system, Mathematical optimization