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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 6, Pages 933–946
DOI: https://doi.org/10.7868/S004446691506006X (Mi zvmmf10217) 		 
This article is cited in 1 scientific paper (total in 1 paper)

New implementations of the 2-factor method

A. F. Izmailov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
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DOI: https://doi.org/10.7868/S004446691506006X
Abstract: The so-called 2-factor method was designed for finding singular solutions to nonlinear equations. New ways of implementing this method are proposed. So far, the known variants of the method used a very laborious iteration. Its implementation requires that the singular value decomposition be calculated for the derivative of the equation at hand. The new economical implementation is based on the Gaussian elimination with pivoting. In addition, the potentials for the globalization of convergence of the method are examined. In total, the proposed tools convert the conceptual sketch of the 2-factor method into a truly practical algorithm.
Key words: nonlinear equation, singular solution, Newton’s methods, singularity structure identification.
Received: 25.09.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 6, Pages 922–934
DOI: https://doi.org/10.1134/S0965542515060056
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: A. F. Izmailov, “New implementations of the 2-factor method”, Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015), 933–946; Comput. Math. Math. Phys., 55:6 (2015), 922–934
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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