a modification of chebyshev-halley method free from second derivatives for nonlinear equations

نویسندگان

h. esmaeili

m. rostami

چکیده

‎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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A modification of Chebyshev-Halley method free from second derivatives for nonlinear equations

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عنوان ژورنال:
caspian journal of mathematical sciences

ناشر: university of mazandaran

ISSN 1735-0611

دوره 3

شماره 1 2014

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