A Modification of Newton-Type Method with Sixth-Order Convergence for Solving Nonlinear Equations

Rui Chen; Liang Fang

doi:10.4028/www.scientific.net/AMR.490-495.1839

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 490-495A Modification of Newton-Type Method with...

A Modification of Newton-Type Method with Sixth-Order Convergence for Solving Nonlinear Equations

Abstract:

In this paper, we present and analyze a modified Newton-type method with oder of convergence six for solving nonlinear equations. The method is free from second derivatives. It requires three evaluations of the functions and two evaluations of derivatives in each step. Therefore the efficiency index of the presented method is 1.431 which is better than that of classical Newton’s method 1.414. Some numerical results illustrate that the proposed method is more efficient and performs better than classical Newton's method

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Periodical:

Advanced Materials Research (Volumes 490-495)

Pages:

1839-1843

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.490-495.1839

Citation:

Cite this paper

Online since:

March 2012

Authors:

Rui Chen, Liang Fang

Keywords:

Iterative Method, Newton Method, Nonlinear Equations, Order of Convergence

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