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Diskretnyi Analiz i Issledovanie Operatsii, 2018, Volume 25, Issue 3, Pages 23–35
DOI: https://doi.org/10.17377/daio.2018.25.585 (Mi da901) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Minimizing a symmetric quasiconvex function on a two-dimensional lattice

S. I. Veselov, D. V. Gribanov, N. Yu. Zolotykh, A. Yu. Chirkov

Institute of Information Technology, Mathematics, and Mechanics, Lobachevsky Nizhny Novgorod State University, 23 Gagarin Ave., 603950 Nizhny Novgorod, Russia
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DOI: https://doi.org/10.17377/daio.2018.25.585
Abstract: We consider the minimization problem for a symmetric quasiconvex function defined by an oracle on the set of integer points of a square. We formulate an optimality criterion for the solution, obtain a logarithmic lower bound for the complexity of the problem, and propose an algorithm for which the number of inquiries to the oracle is at most thrice the lower bound. Bibliogr. 14.
Keywords: quasiconvex function, oracle, integer lattice.
Funding agency Grant number
Russian Science Foundation 17-11-01336
The authors were supported by the Russian Science Foundation (project no. 17-11-01336).
Received: 06.07.2017
Revised: 15.12.2017
English version:
Journal of Applied and Industrial Mathematics, 2018, Volume 12, Issue 3, Pages 587–594
DOI: https://doi.org/10.1134/S199047891803016X
Bibliographic databases:
Document Type: Article
UDC: 519.854
Language: Russian
Citation: S. I. Veselov, D. V. Gribanov, N. Yu. Zolotykh, A. Yu. Chirkov, “Minimizing a symmetric quasiconvex function on a two-dimensional lattice”, Diskretn. Anal. Issled. Oper., 25:3 (2018), 23–35; J. Appl. Industr. Math., 12:3 (2018), 587–594
Citation in format AMSBIB
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\by S.~I.~Veselov, D.~V.~Gribanov, N.~Yu.~Zolotykh, A.~Yu.~Chirkov
\paper Minimizing a~symmetric quasiconvex function on a~two-dimensional lattice
\jour Diskretn. Anal. Issled. Oper.
\yr 2018
\vol 25
\issue 3
\pages 23--35
\mathnet{http://mi.mathnet.ru/da901}
\crossref{https://doi.org/10.17377/daio.2018.25.585}
\elib{https://elibrary.ru/item.asp?id=35448325}
\transl
\jour J. Appl. Industr. Math.
\yr 2018
\vol 12
\issue 3
\pages 587--594
\crossref{https://doi.org/10.1134/S199047891803016X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85052091045}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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