Loading [MathJax]/jax/output/SVG/config.js
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, 2017, Volume 57, Number 8, Pages 1248–1254
DOI: https://doi.org/10.7868/S0044466917080075 (Mi zvmmf10596) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Finding sets of solutions to systems of nonlinear inequalities

Yu. G. Evtushenkoa, M. A. Posypkina, L. A. Rybakb, A. V. Turkina

a Dorodnitsyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
b Belgorod State Technical University, Belgorod, Russia
Full-text PDF (630 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466917080075
Abstract: The problem of approximating the set of all solutions to a system of nonlinear inequalities is studied. A method based on the concept of nonuniform coverings is proposed. It allows one to obtain an interior and exterior approximation of this set with a prescribed accuracy. The efficiency of the method is demonstrated by determining the workspace of a parallel robot.
Key words: method of nonuniform coverings, nonlinear inequalities, methods of set approximation, workspace of a robot.
Funding agency Grant number
Russian Science Foundation 16-19-00148
Received: 15.09.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 8, Pages 1241–1247
DOI: https://doi.org/10.1134/S0965542517080073
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: Yu. G. Evtushenko, M. A. Posypkin, L. A. Rybak, A. V. Turkin, “Finding sets of solutions to systems of nonlinear inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 57:8 (2017), 1248–1254; Comput. Math. Math. Phys., 57:8 (2017), 1241–1247
Citation in format AMSBIB
\Bibitem{EvtPosRyb17}
\by Yu.~G.~Evtushenko, M.~A.~Posypkin, L.~A.~Rybak, A.~V.~Turkin
\paper Finding sets of solutions to systems of nonlinear inequalities
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2017
\vol 57
\issue 8
\pages 1248--1254
\mathnet{http://mi.mathnet.ru/zvmmf10596}
\crossref{https://doi.org/10.7868/S0044466917080075}
\elib{https://elibrary.ru/item.asp?id=29766820}
\transl
\jour Comput. Math. Math. Phys.
\yr 2017
\vol 57
\issue 8
\pages 1241--1247
\crossref{https://doi.org/10.1134/S0965542517080073}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000408956800001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85028681625}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10596
  • https://www.mathnet.ru/eng/zvmmf/v57/i8/p1248
    • This publication is cited in the following 8 articles:
    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:341
    Full-text PDF :70
    References:55
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025