Analysis of a new method for approximation of convex compact bodies by polyhedra
type: Item
instance of: scholarly article
title: Analysis of a new method for approximation of convex compact bodies by polyhedra
zbMATH Open document ID: 1007.52002
author: L. V. Bourmistrova
published in: Computational Mathematics and Mathematical Physics
publication date: 2003-03-12T00:00:00Z
review text: The author proposes a new iterative method for the approximation of convex compact bodies by polyhedra. The method uses few computations of the support function for the body being approximated. Upper estimates are obtained for the convergence rate of the method in the case of convex compact bodies, including nonsmooth ones. The method is compared with other approximation techniques for convex compact bodies.
Mathematics Subject Classification ID: 52A27
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 52A37
zbMATH DE Number: 1779316
zbMATH Keywords: approximation
zbMATH Keywords: convex bodies
zbMATH Keywords: polyhedra
zbMATH Keywords: iterative method
zbMATH Keywords: support function
zbMATH Keywords: estimates
zbMATH Keywords: convergence rate
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1779316