Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
References:
PDF
HTML
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
\Bibitem{Efr19}
\by R.~V.~Efremov
\paper Complexity of methods for approximating convex compact bodies by double description polytopes and complexity bounds for a hyperball
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2019
\vol 59
\issue 7
\pages 1264--1274
\mathnet{http://mi.mathnet.ru/zvmmf10930}
\crossref{https://doi.org/10.1134/S0044466919070068}
\elib{https://elibrary.ru/item.asp?id=38334259}
\transl
\jour Comput. Math. Math. Phys.
\yr 2019
\vol 59
\issue 7
\pages 1204--1213
\crossref{https://doi.org/10.1134/S0965542519070066}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000481793600013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85070755820}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10930
  • https://www.mathnet.ru/eng/zvmmf/v59/i7/p1264
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:104
    References:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024