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 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, 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, 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, 3(1), pp. 123-130.
CHICAGO
H. Esmaeili and M. Rostami, "A modification of Chebyshev-Halley method free from second derivatives for nonlinear equations," Caspian Journal of Mathematical Sciences, 3 1 (2014): 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, 2014; 3(1): 123-130.
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