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2013 Four-Point Optimal Sixteenth-Order Iterative Method for Solving Nonlinear Equations
Malik Zaka Ullah, A. S. Al-Fhaid, Fayyaz Ahmad
J. Appl. Math. 2013: 1-5 (2013). DOI: 10.1155/2013/850365

Abstract

We present an iterative method for solving nonlinear equations. The proposed iterative method has optimal order of convergence sixteen in the sense of Kung-Traub conjecture (Kung and Traub, 1974); it means that the iterative scheme uses five functional evaluations to achieve 16(=25-1) order of convergence. The proposed iterative method utilizes one derivative and four function evaluations. Numerical experiments are made to demonstrate the convergence and validation of the iterative method.

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Malik Zaka Ullah. A. S. Al-Fhaid. Fayyaz Ahmad. "Four-Point Optimal Sixteenth-Order Iterative Method for Solving Nonlinear Equations." J. Appl. Math. 2013 1 - 5, 2013. https://doi.org/10.1155/2013/850365

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950907
MathSciNet: MR3096062
Digital Object Identifier: 10.1155/2013/850365

Rights: Copyright © 2013 Hindawi

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