Construction of derivative-free iterative methods from Chebyshev's method

  1. Ezquerro, J.A. 2
  2. Grau, A. 1
  3. Grau-Sánchez, M. 1
  4. 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:
Analysis and Applications

ISSN: 0219-5305

Year of publication: 2013

Volume: 11

Issue: 3

Type: Article

DOI: 10.1142/S0219530513500097 SCOPUS: 2-s2.0-84877260499 WoS: WOS:000318527500002 GOOGLE SCHOLAR

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Abstract

From some modifications of Chebyshev's method, we consider a uniparametric family of iterative methods that are more efficient than Newton's method, and we then construct two iterative methods in a similar way to the Secant method from Newton's method. These iterative methods do not use derivatives in their algorithms and one of them is more efficient than the Secant method, which is the classical method with this feature. © 2013 World Scientific Publishing Company.