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
Datum der Publikation: 2012
Ausgabe: 28
Nummer: 1
Seiten: 48-58
Art: Artikel
Andere Publikationen in: Journal of Complexity
Projekte im Zusammenhang
Zusammenfassung
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.