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Matematicheskie Zametki, 2015, Volume 98, Issue 3, Pages 427–435
DOI: https://doi.org/10.4213/mzm10705 (Mi mzm10705) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Finding Roots of Nonlinear Equations Using the Method of Concave Support Functions

O. V. Khamisov

L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (446 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10705
Abstract: A method for finding roots of nonlinear equations on a closed interval generalizing Newton's method is proposed. The class of functions for which the proposed method is convergent, is determined. The rate of convergence is estimated and results of a numerical simulation are given.
Keywords: nonlinear equation, Newton's method for finding roots, concave support function, Lipschitz condition.
Received: 16.12.2014
English version:
Mathematical Notes, 2015, Volume 98, Issue 3, Pages 484–491
DOI: https://doi.org/10.1134/S000143461509014X
Bibliographic databases:
Document Type: Article
UDC: 519.615.5
Language: Russian
Citation: O. V. Khamisov, “Finding Roots of Nonlinear Equations Using the Method of Concave Support Functions”, Mat. Zametki, 98:3 (2015), 427–435; Math. Notes, 98:3 (2015), 484–491
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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