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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 4, Pages 562–569 (Mi zvmmf148)  

This article is cited in 3 scientific papers (total in 3 papers)

Linear interval equations with symmetric solution sets

L. T. Ashchepkov

Institute of Applied Mathematics, Far East Division, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
Full-text PDF (981 kB) Citations (3)
References:
Abstract: Criteria for symmetry and boundedness are found for the combined solution set of a system of linear algebraic equations with interval coefficients. It is shown that the problem of the best inner interval estimation of a symmetric solution set can be exactly solved by linear programming methods.
Key words: linear interval equations, criterion for symmetry, boundedness of the combined solution set of a linear program.
Received: 03.04.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 4, Pages 531–538
DOI: https://doi.org/10.1134/S0965542508040027
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: L. T. Ashchepkov, “Linear interval equations with symmetric solution sets”, Zh. Vychisl. Mat. Mat. Fiz., 48:4 (2008), 562–569; Comput. Math. Math. Phys., 48:4 (2008), 531–538
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v48/i4/p562
  • This publication is cited in the following 3 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:344
    Full-text PDF :198
    References:41
    First page:3
     
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