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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 2, Pages 453–466 (Mi zvmmf5614)  

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

On the incompleteness of a model of algorithms for computing estimates

V. L. Matrosov

Moscow
Abstract: It is shown that the Linear closure $\mathscr L\{A\}$ of the algorithms for computing estimates is invalid on a set of regular problems, and therefore the model of such algorithms is incomplete. However, for effectively separable problems $\{Z\}$, with respect to a given system of the reference sets $\{\Omega\}$, the class of algorithms $\mathscr L\{A\}$ is correct. A counter example showing that the condition of effective partition of the problems is not essential for the validity of $\mathscr L\{A\}$, is given.
Received: 04.03.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 2, Pages 128–136
DOI: https://doi.org/10.1016/S0041-5553(83)80058-5
Bibliographic databases:
Document Type: Article
UDC: 519.7
MSC: Primary 68T10; Secondary 68W99
Language: Russian
Citation: V. L. Matrosov, “On the incompleteness of a model of algorithms for computing estimates”, Zh. Vychisl. Mat. Mat. Fiz., 23:2 (1983), 453–466; U.S.S.R. Comput. Math. Math. Phys., 23:2 (1983), 128–136
Citation in format AMSBIB
\Bibitem{Mat83}
\by V.~L.~Matrosov
\paper On the incompleteness of a model of algorithms for computing estimates
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 2
\pages 453--466
\mathnet{http://mi.mathnet.ru/zvmmf5614}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=698231}
\zmath{https://zbmath.org/?q=an:0552.68071}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 2
\pages 128--136
\crossref{https://doi.org/10.1016/S0041-5553(83)80058-5}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i2/p453
  • This publication is cited in the following 1 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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