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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)
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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
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    • 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
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