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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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  • https://www.mathnet.ru/eng/mzm10705
  • https://doi.org/10.4213/mzm10705
  • https://www.mathnet.ru/eng/mzm/v98/i3/p427
    • This publication is cited in the following 4 articles:
    1. G. García, “A numerical method to approximate the solutions of nonlinear systems in densifiable sets”, Numer Algor, 2023  crossref
    2. William La Cruz, “A genetic algorithm with a self-reproduction operator to solve systems of nonlinear equations”, J Glob Optim, 84:4 (2022), 1005  crossref
    3. G. Garcia, “Approximating roots of nonlinear systems by alpha-dense curves”, Numer. Algorithms, 82:3 (2019), 749–760  crossref  mathscinet  isi
    4. Strekalovskiy A., Musatova E., “On Solution of One Equation with d.c. Function”, Informatica, 27:2 (2016), 367–386  crossref  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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