Solving non-differentiable equations by a new one-point iterative method with memory
- Ezquerro, J.A. 2
- Grau-Sánchez, M. 1
- Hernández, M.A. 2
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1
Universitat Politècnica de Catalunya
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2
Universidad de La Rioja
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ISSN: 0885-064X
Year of publication: 2012
Volume: 28
Issue: 1
Pages: 48-58
Type: Article
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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.