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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 9, Pages 1555–1565 (Mi zvmmf592)  
This article is cited in 2 scientific papers (total in 2 papers)

On the complexity and methods of polyhedral approximations of convex bodies with a partially smooth boundary

N. B. Brusnikina, G. K. Kamenev

Dorodnicyn Computational Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
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Abstract: Polyhedral approximation of nonsmooth convex compact bodies with a boundary having smooth portions of positive Gaussian curvature is considered. Examples of such bodies are reachable sets of dynamic control systems. The complexity of solving such approximation problems is estimated, and optimal approximation methods are discussed.
Key words: polyhedral approximations, convex bodies, partially smooth boundary, bound for complexity of approximation.
Received: 11.10.2004
Bibliographic databases:
Document Type: Article
UDC: 519.651
Language: Russian
Citation: N. B. Brusnikina, G. K. Kamenev, “On the complexity and methods of polyhedral approximations of convex bodies with a partially smooth boundary”, Zh. Vychisl. Mat. Mat. Fiz., 45:9 (2005), 1555–1565; Comput. Math. Math. Phys., 45:9 (2005), 1500–1510
Citation in format AMSBIB
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\by N.~B.~Brusnikina, G.~K.~Kamenev
\paper On the complexity and methods of polyhedral approximations of convex bodies with a partially smooth boundary
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 9
\pages 1555--1565
\mathnet{http://mi.mathnet.ru/zvmmf592}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2216066}
\zmath{https://zbmath.org/?q=an:1087.52503}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 9
\pages 1500--1510
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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