Three-Step Method with Fifth-Order Convergence for Nonlinear Equation

Li Sun; Liang Fang; Yun Wang

doi:10.4028/www.scientific.net/AMR.524-527.3824

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 524-527Three-Step Method with Fifth-Order Convergence for...

Three-Step Method with Fifth-Order Convergence for Nonlinear Equation

Abstract:

We present a fifth-order iterative method for the solution of nonlinear equation. The new method is based on the Noor's third-order method, which is a modified Householder method without second derivatives. Its efficiency index is 1.4953 which is better than that of Newton's method and Noor's method. Numerical results show the efficiency of the proposed method.

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Periodical:

Advanced Materials Research (Volumes 524-527)

Pages:

3824-3827

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.524-527.3824

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Online since:

May 2012

Authors:

Li Sun, Liang Fang, Yun Wang

Keywords:

Convergence, Iterative Method, Newton Method, Nonlinear Equations

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References

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