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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 6, Pages 1134–1145 (Mi zvmmf648)  

This article is cited in 10 scientific papers (total in 10 papers)

Algebra over estimation algorithms: the minimal degree of correct algorithms

A. G. D'yakonov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
References:
Abstract: Basic constructs of the algebraic theory of corrections of estimation algorithms are described. Algorithms belonging to algebraic closures are represented using linear combinations of simple operators. The case of the general proximity function is considered, and an unimprovable bound on the degree of a correct algorithm is obtained.
Key words: estimation algorithms, correct algorithms, minimal degree, algebraic theory.
Received: 11.11.2004
Bibliographic databases:
Document Type: Article
UDC: 519.71
Language: Russian
Citation: A. G. D'yakonov, “Algebra over estimation algorithms: the minimal degree of correct algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 45:6 (2005), 1134–1145; Comput. Math. Math. Phys., 45:6 (2005), 1095–1106
Citation in format AMSBIB
\Bibitem{Dya05}
\by A.~G.~D'yakonov
\paper Algebra over estimation algorithms: the minimal degree of correct algorithms
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 6
\pages 1134--1145
\mathnet{http://mi.mathnet.ru/zvmmf648}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2193426}
\zmath{https://zbmath.org/?q=an:1093.68097}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 6
\pages 1095--1106
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  • https://www.mathnet.ru/eng/zvmmf648
  • https://www.mathnet.ru/eng/zvmmf/v45/i6/p1134
  • This publication is cited in the following 10 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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    References:48
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