T. Zhanlav, O. Chuluunbaatar, V. Ulziibayar, “A brief description of two-sided approximation for some Newton’s type methods”, Mat. Model., 26:11 (2014), 71

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Matematicheskoe modelirovanie, 2014, Volume 26, Number 11, Pages 71–77 (Mi mm3542)

A brief description of two-sided approximation for some Newton’s type methods

T. Zhanlav^a, O. Chuluunbaatar^ba, V. Ulziibayar^c

^a School of Mathematics and Computer Science, National University of Mongolia, Mongolia
^b Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia
^c School of Mathematics, Mongolian University of Science and Technology, Mongolia

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Abstract: We suggest and analyze a combination of a damped Newton’s method and a simplified version of Newton’s one. We show that the proposed iterations give two-sided approximations of the solution which can be efficiently used as posteriori estimations. Some numerical examples illustrate the efficiency and performance of the method proposed.

Received: 21.03.2014

Bibliographic databases:

Document Type: Article

UDC: 517.958

Language: English

Citation: T. Zhanlav, O. Chuluunbaatar, V. Ulziibayar, “A brief description of two-sided approximation for some Newton’s type methods”, Mat. Model., 26:11 (2014), 71–77

Citation in format AMSBIB

\Bibitem{ZhaChuUlz14}

\by T.~Zhanlav, O.~Chuluunbaatar, V.~Ulziibayar

\paper A brief description of two-sided approximation for some Newton’s type methods

\jour Mat. Model.

\yr 2014

\vol 26

\issue 11

\pages 71--77

\mathnet{http://mi.mathnet.ru/mm3542}

\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3541378}

\elib{https://elibrary.ru/item.asp?id=23421442}

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https://www.mathnet.ru/eng/mm/v26/i11/p71

Citing articles in Google Scholar: Russian citations, English citations
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