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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 7, Pages 1264–1274
DOI: https://doi.org/10.1134/S0044466919070068 (Mi zvmmf10930) 		 
Complexity of methods for approximating convex compact bodies by double description polytopes and complexity bounds for a hyperball

R. V. Efremov

28933 Móstoles, Madrid (España), Universidad Rey Juan Carlos
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DOI: https://doi.org/10.1134/S0044466919070068
Abstract: A comparative analysis of the complexity of approaches to the approximation of convex compact bodies by double description polytopes is provided as applied to a ball. A complexity bound for the Estimate Refinement method is obtained in the case of approximation of a multidimensional ball.
Key words: polyhedral approximation of convex bodies, double description polytope, multidimensional ball, complexity bound for a method, covering of a multidimensional unit sphere, Estimate Refinement method.
Funding agency Grant number
Ministerio de Economía y Competitividad de España MTM2017-86875-C3-1-R
This work was supported in part by the Spanish National Research Council (CSIC) (MTM2017-86875-C3-1-R).
Received: 20.10.2018
Revised: 14.02.2019
Accepted: 11.03.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 7, Pages 1204–1213
DOI: https://doi.org/10.1134/S0965542519070066
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: R. V. Efremov, “Complexity of methods for approximating convex compact bodies by double description polytopes and complexity bounds for a hyperball”, Zh. Vychisl. Mat. Mat. Fiz., 59:7 (2019), 1264–1274; Comput. Math. Math. Phys., 59:7 (2019), 1204–1213
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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