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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 4, Pages 595–611 (Mi zvmmf4855)  
This article is cited in 2 scientific papers (total in 2 papers)

A modification of minimal iteration methods for solving systems of linear algebraic equations

L. F. Yukhno

Institute of Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moskow, 125047 Russia
Full-text PDF (266 kB) Citations (2)
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Abstract: Modifications of certain minimal iteration methods for solving systems of linear algebraic equations are proposed and examined. The modified methods are shown to be superior to the original versions with respect to the round-off error accumulation, which makes them applicable to solving ill-conditioned problems. Numerical results demonstrating the efficiency of the proposed modifications are given.
Key words: system of linear algebraic equations, numerical methods, elimination problem, minimal iteration method, numerical stability.
Received: 30.11.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 4, Pages 567–582
DOI: https://doi.org/10.1134/S0965542510040019
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: L. F. Yukhno, “A modification of minimal iteration methods for solving systems of linear algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 50:4 (2010), 595–611; Comput. Math. Math. Phys., 50:4 (2010), 567–582
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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    Full-text PDF :129
    References:63
    First page:7
     
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