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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. Zhanlava, O. Chuluunbaatarba, V. Ulziibayarc

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”, Matem. Mod., 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 Matem. Mod.
\yr 2014
\vol 26
\issue 11
\pages 71--77
\mathnet{http://mi.mathnet.ru/mm3542}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3541378}
\elib{https://elibrary.ru/item.asp?id=23421442}
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