Local convergence analysis of a modified Newton-Jarratt's composition under weak conditions
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Date
2019
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Publisher
Charles University, Faculty of Mathematics and Physics cmuc@karlin.mff.cuni.cz
Abstract
A. Cordero et. al (2010) considered a modified Newton-Jarratt's composition to solve nonlinear equations. In this study, using decomposition technique under weaker assumptions we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study. © 2019 Charles University, Faculty of Mathematics and Physics.
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Keywords
Decomposition techniques, Local convergence, Newton-Jarratt's method, Radius of convergence, Restricted convergence domain
Citation
Commentationes Mathematicae Universitatis Carolinae, 2019, 60, 2, pp. 219-229