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

  1. Ezquerro, J.A. 2
  2. Grau-Sánchez, M. 1
  3. Hernández, M.A. 2
  1. 1 Universitat Politècnica de Catalunya
    info

    Universitat Politècnica de Catalunya

    Barcelona, España

    ROR https://ror.org/03mb6wj31

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Journal of Complexity

ISSN: 0885-064X

Year of publication: 2012

Volume: 28

Issue: 1

Pages: 48-58

Type: Article

DOI: 10.1016/J.JCO.2011.06.002 SCOPUS: 2-s2.0-82555189787 WoS: WOS:000298620500004 GOOGLE SCHOLAR

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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.