Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 6, Pages 920–936
DOI: https://doi.org/10.1134/S0044466919060140 (Mi zvmmf10904) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Families of optimal derivative-free two- and three-point iterative methods for solving nonlinear equations

T. Zhanlava, Kh. Otgondorjb, O. Chuluunbaatarac

a Institute of Mathematics, National University of Mongolia, Ulan-Bator, 14201 Mongolia
b Division of Applied Sciences, Mongolian University of Science and Technology, Ulan-Bator, 14191 Mongolia
c Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980 Russia
Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0044466919060140
Abstract: Necessary and sufficient conditions for derivative-free two- and three-point iterative methods to have the optimal convergence order are obtained. These conditions can be effectively used not only for determining the order of convergence of iterative methods but also for designing new methods. Furthermore, the use of the method of generating functions makes it possible to construct a wide class of optimal derivative-free two- and three-point methods that includes many well-known methods as particular cases. An analytical formula for the optimal choice of the parameter of iterations improving the order of convergence is derived.
Key words: nonlinear equations, two- and three-point iterations, necessary and sufficient conditions, optimal methods.
Funding agency Grant number
Фонд науки и технологии Монголии SST_18/2018
JINR-Romania program
This work was supported by the Foundation of Science and Technology of Mongolia, project no.В SST_18/2018 and and by the program JINR–Romania–Hulubei–Meshcheryakov of the Joint Institute for Nuclear Research.
Received: 09.09.2018
Revised: 16.01.2019
Accepted: 08.02.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 6, Pages 864–880
DOI: https://doi.org/10.1134/S0965542519060149
Bibliographic databases:
Document Type: Article
UDC: 519.615
Language: Russian
Citation: T. Zhanlav, Kh. Otgondorj, O. Chuluunbaatar, “Families of optimal derivative-free two- and three-point iterative methods for solving nonlinear equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:6 (2019), 920–936; Comput. Math. Math. Phys., 59:6 (2019), 864–880
Citation in format AMSBIB
\Bibitem{ZhaOtgChu19}
\by T.~Zhanlav, Kh.~Otgondorj, O.~Chuluunbaatar
\paper Families of optimal derivative-free two- and three-point iterative methods for solving nonlinear equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2019
\vol 59
\issue 6
\pages 920--936
\mathnet{http://mi.mathnet.ru/zvmmf10904}
\crossref{https://doi.org/10.1134/S0044466919060140}
\elib{https://elibrary.ru/item.asp?id=37462911}
\transl
\jour Comput. Math. Math. Phys.
\yr 2019
\vol 59
\issue 6
\pages 864--880
\crossref{https://doi.org/10.1134/S0965542519060149}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000473489900002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85068555082}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10904
  • https://www.mathnet.ru/eng/zvmmf/v59/i6/p920
    • This publication is cited in the following 4 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
    Statistics & downloads:
    Abstract page:125
    References:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024