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Problemy Analiza — Issues of Analysis, 2022, Volume 11(29), Issue 1, Pages 32–44
DOI: https://doi.org/10.15393/j3.art.2022.10431 (Mi pa340) 		 
A ball comparison between extended modified Jarratt methods under the same set of conditions for solving equations and systems of equations

I. K. Argyrosa, S. Georgeb, C. Argyrosa

a Cameron University, 2800 W. Gore Blvd. Lawton, OK 73505-6377, USA
b National Institute of Technology, Karnataka, India-575 025
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DOI: https://doi.org/10.15393/j3.art.2022.10431
Abstract: In this paper, we compare the radii of convergence of Jarratt-type methods under the same set of conditions for solving nonlinear equations and systems of equations. Our convergence analysis is based on the first Fréchet derivative that only appears on the method. Numerical examples where the theoretical results are tested complete the paper.
Keywords: Jarratt type method, Banach space, radious of convergence.
Received: 10.06.2021
Revised: 11.08.2021
Accepted: 15.08.2021
Bibliographic databases:
Document Type: Article
UDC: 517.988
MSC: 65J20, 49M15, 74G20, 41A25
Language: English
Citation: I. K. Argyros, S. George, C. Argyros, “A ball comparison between extended modified Jarratt methods under the same set of conditions for solving equations and systems of equations”, Probl. Anal. Issues Anal., 11(29):1 (2022), 32–44
Citation in format AMSBIB
\Bibitem{ArgGeoArg22}
\by I.~K.~Argyros, S.~George, C.~Argyros
\paper A ball comparison between extended modified Jarratt methods under the same set of conditions for solving equations and systems of equations
\jour Probl. Anal. Issues Anal.
\yr 2022
\vol 11(29)
\issue 1
\pages 32--44
\mathnet{http://mi.mathnet.ru/pa340}
\crossref{https://doi.org/10.15393/j3.art.2022.10431}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4396953}
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