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
volume 3 issue 1
pages 123- 130
publication date 2014-06-30
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