a modification of chebyshev-halley method free from second derivatives for nonlinear equations
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abstract
in this paper, we present a new modification of chebyshev-halley method, free from second derivatives, to solve nonlinear equations. the convergence analysis shows that our modification is third-order convergent. every iteration of this method requires one function and two first derivative evaluations. so, its efficiency index is $3^{1/3}=1.442$ that is better than that of newton method. several numerical examples are given to illustrate the performance of the presented method.
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Journal title:
caspian journal of mathematical sciencesPublisher: university of mazandaran
ISSN 1735-0611
volume 3
issue 1 2014
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