Geodesic
The modified method of refined bounds for polyhedral approximation of convex polytopes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 990-998 Cet article a éte moissonné depuis la source Math-Net.Ru

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The modified method of refined bounds is proposed and experimentally studied. This method is designed to iteratively approximate convex multidimensional polytopes with a large number of vertices. Approximation is realized by a sequence of convex polytopes with a relatively small but gradually increasing number of vertices. The results of an experimental comparison between the modified and the original methods of refined bounds are presented. The latter was designed for the polyhedral approximation of multidimensional convex compact bodies of general type. 
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A. V. Lotov; A. I. Pospelov. The modified method of refined bounds for polyhedral approximation of convex polytopes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 6, pp. 990-998. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_6_a4/

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