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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 3, Pages 374–382 (Mi zvmmf678)  
This article is cited in 7 scientific papers (total in 7 papers)

Gradient methods with improved convergence rate

E. A. Alshinaa, A. A. Boltnevb, O. A. Kacherb

a Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia
b Moscow State Institute of Electronic Technology (Technical University)
Full-text PDF (1272 kB) Citations (7)
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Abstract: A very simple modification is proposed for the steepest descent and minimum residual methods that makes it possible to substantially improve the convergence rate of these methods. The proposed approach is universal and does not require any adjustment to the spectrum of a matrix. Its efficiency is confirmed by numerous computational experiments.
Key words: iterative methods, the steepest descent method, the minimum residual method, improving the convergence rate.
Received: 26.08.2004
Bibliographic databases:
Document Type: Article
UDC: 519.614
Language: Russian
Citation: E. A. Alshina, A. A. Boltnev, O. A. Kacher, “Gradient methods with improved convergence rate”, Zh. Vychisl. Mat. Mat. Fiz., 45:3 (2005), 374–382; Comput. Math. Math. Phys., 45:3 (2005), 356–365
Citation in format AMSBIB
\Bibitem{AlsBolKac05}
\by E.~A.~Alshina, A.~A.~Boltnev, O.~A.~Kacher
\paper Gradient methods with improved convergence rate
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 3
\pages 374--382
\mathnet{http://mi.mathnet.ru/zvmmf678}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2161478}
\zmath{https://zbmath.org/?q=an:1077.65111}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 3
\pages 356--365
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  • https://www.mathnet.ru/eng/zvmmf/v45/i3/p374
    • This publication is cited in the following 7 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:86
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