NOTE ON SOME THIRD-ORDER NONLINEAR SOLVERS FOR THE SOLUTION OF NONLINEAR EQUATIONS

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Published: Nov 15, 2012
DOI: https://doi.org/10.14403/jcms.2012.25.4.669
Keywords:
order of convergence, Newton method, iteration functions, nonlinear equations, root-finding methods
Mathematics Subject Classification (2020):
Primary 41A25, 65D99

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Weonbae Kim
Department of Mathematics, Daejin University,
Changbum Chun
Department of Mathematics, Sungkyunkwan University,
Yong-Il Kim
School of Liberal Arts, Korea University of Technology and Education,

Abstract





In this note we extend one well-known iteration formula to derive new third-order methods for solving a nonlinear equation. The comparison with other methods is given.





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Article Details

Issue
Vol. 25 No. 4 (2012)
Section
Articles