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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 8, Pages 1257–1262 (Mi zvmmf3224)  

This article is cited in 1 scientific paper (total in 2 paper)

Scientific communications

An estimate of the rate of convergence of the discrepancy method for a linear programming problem with approximate data

F. P. Vasil'ev, A. Yu. Ivanitskii, V. A. Morozov

Moscow, Cheboksary
Full-text PDF (593 kB) Citations (2)
References:
Abstract: The discrepancy method for the linear programming problem and its dual, with approximate data given in interval form, is considered. The method reduces to a regularized family of problems of the original type. The estimates obtained of the method's rates of convergence are of the same order as the order of the error levels of the input data.
Received: 26.10.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 4, Pages 204–208
DOI: https://doi.org/10.1016/0041-5553(90)90064-Y
Bibliographic databases:
Document Type: Article
UDC: 519.852.6
MSC: Primary 90C05; Secondary 90-08, 65G30
Language: Russian
Citation: F. P. Vasil'ev, A. Yu. Ivanitskii, V. A. Morozov, “An estimate of the rate of convergence of the discrepancy method for a linear programming problem with approximate data”, Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990), 1257–1262; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 204–208
Citation in format AMSBIB
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\by F.~P.~Vasil'ev, A.~Yu.~Ivanitskii, V.~A.~Morozov
\paper An estimate of the rate of convergence of the discrepancy method for a~linear programming problem with approximate data
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 8
\pages 1257--1262
\mathnet{http://mi.mathnet.ru/zvmmf3224}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1074170}
\zmath{https://zbmath.org/?q=an:0718.90062}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 4
\pages 204--208
\crossref{https://doi.org/10.1016/0041-5553(90)90064-Y}
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  • https://www.mathnet.ru/eng/zvmmf/v30/i8/p1257
  • This publication is cited in the following 2 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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    Abstract page:431
    Full-text PDF :161
    References:65
    First page:1
     
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