A New Iterative Method with Sixth-Order Convergence for Solving Nonlinear Equations


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In this paper, we present and analyze a new iterative method for solving nonlinear equations. It is proved that the method is six-order convergent. The algorithm is free from second derivatives, and it requires three evaluations of the functions and two evaluations of derivatives in each iteration. The efficiency index of the presented method is 1.431 which is better than that of classical Newton’s method 1.414. Some numerical experiments illustrate that the proposed method is more efficient and performs better than classical Newton's method and some other methods.



Advanced Materials Research (Volumes 542-543)

Edited by:

Runhua Tan, Jibing Sun and Qingsuo Liu




H. Li "A New Iterative Method with Sixth-Order Convergence for Solving Nonlinear Equations", Advanced Materials Research, Vols. 542-543, pp. 1019-1022, 2012

Online since:

June 2012





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