Solving non-differentiable equations by a new one-point iterative method with memory

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Abstract

We construct a new iterative method for approximating the solutions of nonlinear operator equations, where the operator involved is not differentiable. The algorithm proposed does not need to evaluate derivatives and is more efficient than the secant method. For this, we extend a result of Traub for one-point iterative methods to one-point iterative methods with memory. © 2011 Elsevier Inc. All rights reserved.

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Ezquerro, J. A., Grau-Sánchez, M., & Hernández, M. A. (2012). Solving non-differentiable equations by a new one-point iterative method with memory. Journal of Complexity, 28(1), 48–58. https://doi.org/10.1016/j.jco.2011.06.002

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