A modification of Chebyshev-Halley method free from second derivatives for nonlinear equations
نویسندگان
چکیده مقاله:
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.
منابع مشابه
a modification of chebyshev-halley method free from second derivatives for nonlinear equations
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 o...
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عنوان ژورنال
دوره 3 شماره 1
صفحات 123- 130
تاریخ انتشار 2014-06-30
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