Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran
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.
Esmaeili, H., & Rostami, M. (2014). A modification of Chebyshev-Halley method free from second derivatives for nonlinear equations. Caspian Journal of Mathematical Sciences (CJMS), 3(1), 123-130.
MLA
H. Esmaeili; M. Rostami. "A modification of Chebyshev-Halley method free from second derivatives for nonlinear equations". Caspian Journal of Mathematical Sciences (CJMS), 3, 1, 2014, 123-130.
HARVARD
Esmaeili, H., Rostami, M. (2014). 'A modification of Chebyshev-Halley method free from second derivatives for nonlinear equations', Caspian Journal of Mathematical Sciences (CJMS), 3(1), pp. 123-130.
VANCOUVER
Esmaeili, H., Rostami, M. A modification of Chebyshev-Halley method free from second derivatives for nonlinear equations. Caspian Journal of Mathematical Sciences (CJMS), 2014; 3(1): 123-130.
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