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
Argitalpen urtea: 2012
Alea: 28
Zenbakia: 1
Orrialdeak: 48-58
Mota: Artikulua
Beste argitalpen batzuk: Journal of Complexity
Lotura duten proiektuak
Laburpena
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.