On a Newton-kurchatov-type iterative process

  1. Hernández-Verón, M.A. 1
  2. Rubio, M.J. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Numerical Functional Analysis and Optimization

ISSN: 0163-0563

Year of publication: 2016

Volume: 37

Issue: 1

Pages: 65-79

Type: Article

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DOI: 10.1080/01630563.2015.1084318 SCOPUS: 2-s2.0-84952682716 WoS: WOS:000367341700005 GOOGLE SCHOLAR

More publications in: Numerical Functional Analysis and Optimization

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Abstract

Newton's method and Kurchatov's method are iterative processes known for their fast speed of convergence. We construct from both methods an iterative method to approximate solutions of nonlinear equations given by a nondifferentiable operator, and we study its semilocal convergence in Banach spaces. Finally, we consider several applications of this new iterative process. © 2016 Taylor & Francis Group, LLC.