A new class of secant-like methods for solving nonlinear systems of equations

  1. Ezquerro, J.A. 2
  2. Grau, A. 1
  3. Grau-Sánchez, M. 1
  4. Hernández-Verón, 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:
Communications in Applied Mathematics and Computational Science

ISSN: 1559-3940

Year of publication: 2014

Volume: 9

Issue: 2

Pages: 201-213

Type: Article

DOI: 10.2140/CAMCOS.2014.9.201 SCOPUS: 2-s2.0-84961366032 WoS: WOS:000352981700002 GOOGLE SCHOLAR

More publications in: Communications in Applied Mathematics and Computational Science

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Abstract

Applying twice an idea of Hernandez and Rubio (2002) for constructing a one-parameter family of secant-like methods, we define a two-parameter family of secant-like methods for solving nonlinear systems of equations. We analyze the efficiency of this new family and conclude that the Kurchatov method, which is one member of the family, is the most efficient. We illustrate this with Troesch's problem.