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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 5, Pages 763–778 (Mi zvmmf135)  
This article is cited in 9 scientific papers (total in 9 papers)

The initial convergence rate of adaptive methods for polyhedral approximation of convex bodies

G. K. Kamenev

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Full-text PDF (1909 kB) Citations (9)
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Abstract: The convergence rate at the initial stage is analyzed for a previously proposed class of asymptotically optimal adaptive methods for polyhedral approximation of convex bodies. Based on the results, the initial convergence rate of these methods can be evaluated for arbitrary bodies (including the case of polyhedral approximation of polytopes) and the resources sufficient for achieving optimal asymptotic properties can be estimated.
Key words: convex body, polyhedral approximation, algorithm, approximation method, complexity bound.
Received: 02.07.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 5, Pages 724–738
DOI: https://doi.org/10.1134/S0965542508050035
Bibliographic databases:
Document Type: Article
UDC: 519.651
Language: Russian
Citation: G. K. Kamenev, “The initial convergence rate of adaptive methods for polyhedral approximation of convex bodies”, Zh. Vychisl. Mat. Mat. Fiz., 48:5 (2008), 763–778; Comput. Math. Math. Phys., 48:5 (2008), 724–738
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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