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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 1, Pages 228–232 (Mi zvmmf5420)  

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

Scientific communications

Asymptotic behaviour of the $s$-dimensional optimal gradient method in Hilbert space

A. F. Zabolotskaya

Moskva
Full-text PDF (525 kB) Citations (3)
Abstract: The asymptotic behaviour of the well-known method of minimizing the functional $H(x)$, namely the $s$-dimensional, $s > 1$, optimal gradient method in Hilbert space $H$, is investigated. It is found that the results of the usual, $s = 1$, optimal gradient method, given in [1], transfer to the $s$-dimensional process.
Received: 07.12.1977
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 1, Pages 233–238
DOI: https://doi.org/10.1016/0041-5553(79)90082-X
Bibliographic databases:
Document Type: Article
UDC: 519, 517.988.8
MSC: 65J10
Language: Russian
Citation: A. F. Zabolotskaya, “Asymptotic behaviour of the $s$-dimensional optimal gradient method in Hilbert space”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979), 228–232; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 233–238
Citation in format AMSBIB
\Bibitem{Zab79}
\by A.~F.~Zabolotskaya
\paper Asymptotic behaviour of the $s$-dimensional optimal gradient method in Hilbert space
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 1
\pages 228--232
\mathnet{http://mi.mathnet.ru/zvmmf5420}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525481}
\zmath{https://zbmath.org/?q=an:0405.65029}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 1
\pages 233--238
\crossref{https://doi.org/10.1016/0041-5553(79)90082-X}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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