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Matematicheskoe modelirovanie, 2011, Volume 23, Number 7, Pages 33–51 (Mi mm3129)  
This article is cited in 5 scientific papers (total in 5 papers)

The improved form of the conjugated gradients method

N. N. Kalitkin, L. V. Kuzmina

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow
Full-text PDF (550 kB) Citations (5)
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Abstract: The conjugated gradient method for systems of linear algebraic equations is investigated. The form of this method is constracted, which occured especially simple and stable under round-off errors. The criterium of iteration truncation is proposed based on prevailing of round-off errors. The numerical calculations were performed, illustrating peculiarities of the method convergency for good and ill posed problems.
Keywords: systems of linear algebraic equations, the conjugated gradients method, round-off errors, ill posed problems.
Received: 01.11.2010
English version:
Mathematical Models and Computer Simulations, 2012, Volume 4, Issue 1, Pages 68–81
DOI: https://doi.org/10.1134/S2070048212010061
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. N. Kalitkin, L. V. Kuzmina, “The improved form of the conjugated gradients method”, Matem. Mod., 23:7 (2011), 33–51; Math. Models Comput. Simul., 4:1 (2012), 68–81
Citation in format AMSBIB
\Bibitem{KalKuz11}
\by N.~N.~Kalitkin, L.~V.~Kuzmina
\paper The improved form of the conjugated gradients method
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 7
\pages 33--51
\mathnet{http://mi.mathnet.ru/mm3129}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2895742}
\transl
\jour Math. Models Comput. Simul.
\yr 2012
\vol 4
\issue 1
\pages 68--81
\crossref{https://doi.org/10.1134/S2070048212010061}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928981295}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    First page:36
     
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