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Matematicheskoe modelirovanie, 2011, Volume 23, Number 2, Pages 3–26 (Mi mm3070)  
This article is cited in 8 scientific papers (total in 8 papers)

The quantitative conditionality criterium for the systems of linear algebraic equations

N. N. Kalitkin, L. F. Yukhno, L. V. Kuzmina

Keldysh Institute of Applied Mathematic, Moscow
Full-text PDF (524 kB) Citations (8)
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Abstract: The well known conditionality criteria for systems of linear algebraic equation are shown to be unadecvate. The new criterium is propoused it is a quantitative, wich describes a loss of decimal digitals in computations. The adecvasy of this criterium is illustrated by numerical examples. The conditionality criteria are calculated for some important types of linear systems, arizing from difference schemes for differential or integral equations.
Keywords: systems of linear algebraic equations, conditionality criterium.
Received: 28.06.2010
English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 5, Pages 541–556
DOI: https://doi.org/10.1134/S2070048211050097
Bibliographic databases:
Document Type: Article
UDC: 519.612.2
Language: Russian
Citation: N. N. Kalitkin, L. F. Yukhno, L. V. Kuzmina, “The quantitative conditionality criterium for the systems of linear algebraic equations”, Matem. Mod., 23:2 (2011), 3–26; Math. Models Comput. Simul., 3:5 (2011), 541–556
Citation in format AMSBIB
\Bibitem{KalYukKuz11}
\by N.~N.~Kalitkin, L.~F.~Yukhno, L.~V.~Kuzmina
\paper The quantitative conditionality criterium for the systems of linear algebraic equations
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 2
\pages 3--26
\mathnet{http://mi.mathnet.ru/mm3070}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2848796}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 5
\pages 541--556
\crossref{https://doi.org/10.1134/S2070048211050097}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84887232623}
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    • This publication is cited in the following 8 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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