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, 2016, Volume 56, Number 2, Pages 193–201
DOI: https://doi.org/10.7868/S0044466916020046 (Mi zvmmf10336) 		 
Addition to the Aitken method for the extrapolation of the limit of slowly convergent sequences

V. N. Bakulin, V. V. Inflianskas

Institute of Applied Mechanics, Russian Academy of Sciences, Leningradskii pr. 7, Moscow, 125040, Russia
Full-text PDF (128 kB)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466916020046
Abstract: The class of sequences and series in which the Aitken process accelerates the convergence is considerably extended. It is proved that a proper subsequence of a slowly convergent sequence satisfies the sufficient condition for accelerating the convergence of the Aitken transformation. Two numerical examples illustrate the highly accurate limit extrapolation.
Key words: convergent sequences, series with positive terms, limit extrapolation, acceleration of series convergence, Aitken transformation, d'Alembert's ratio test, Raabe's test, iterations, high precision computations.
Received: 24.06.2014
Revised: 01.07.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 2, Pages 191–199
DOI: https://doi.org/10.1134/S0965542516020044
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: Russian
Citation: V. N. Bakulin, V. V. Inflianskas, “Addition to the Aitken method for the extrapolation of the limit of slowly convergent sequences”, Zh. Vychisl. Mat. Mat. Fiz., 56:2 (2016), 193–201; Comput. Math. Math. Phys., 56:2 (2016), 191–199
Citation in format AMSBIB
\Bibitem{BakInf16}
\by V.~N.~Bakulin, V.~V.~Inflianskas
\paper Addition to the Aitken method for the extrapolation of the limit of slowly convergent sequences
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2016
\vol 56
\issue 2
\pages 193--201
\mathnet{http://mi.mathnet.ru/zvmmf10336}
\crossref{https://doi.org/10.7868/S0044466916020046}
\elib{https://elibrary.ru/item.asp?id=25343608}
\transl
\jour Comput. Math. Math. Phys.
\yr 2016
\vol 56
\issue 2
\pages 191--199
\crossref{https://doi.org/10.1134/S0965542516020044}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000373669000002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962640511}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10336
  • https://www.mathnet.ru/eng/zvmmf/v56/i2/p193
    • 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:352
    Full-text PDF :68
    References:86
    First page:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024