Four-point optimal sixteenth-order iterative method for solving nonlinear equations

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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(= 2 5 - 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. © 2013 Malik Zaka Ullah et al.

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Ullah, M. Z., Al-Fhaid, A. S., & Ahmad, F. (2013). Four-point optimal sixteenth-order iterative method for solving nonlinear equations. Journal of Applied Mathematics, 2013. https://doi.org/10.1155/2013/850365

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