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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 6, Pages 990–998 (Mi zvmmf4574)  
This article is cited in 11 scientific papers (total in 11 papers)

The modified method of refined bounds for polyhedral approximation of convex polytopes

A. V. Lotova, A. I. Pospelovb

a Dorodnitsyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
b Institute for System Programming, Russian Academy of Sciences, ul. Bol'shaya Kommunisticheskaya 25, Moscow, 109004, Russia
Full-text PDF (1305 kB) Citations (11)
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Abstract: 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.
Key words: polyhedral approximation of convex bodies, convex polytopes, iterative methods, convergence rate.
Received: 12.10.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 6, Pages 933–941
DOI: https://doi.org/10.1134/S0965542508060055
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: A. V. Lotov, A. I. Pospelov, “The modified method of refined bounds for polyhedral approximation of convex polytopes”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008), 990–998; Comput. Math. Math. Phys., 48:6 (2008), 933–941
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:67
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