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

Revista:
Communications in Applied Mathematics and Computational Science

ISSN: 1559-3940

Año de publicación: 2014

Volumen: 9

Número: 2

Páginas: 201-213

Tipo: Artículo

beta Ver similares en nube de resultados
DOI: 10.2140/CAMCOS.2014.9.201 SCOPUS: 2-s2.0-84961366032 WoS: WOS:000352981700002 GOOGLE SCHOLAR

Otras publicaciones en: Communications in Applied Mathematics and Computational Science

Resumen

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.