On iterative methods with accelerated convergence for solving systems of nonlinear equations.

  1. Ezquerro, J.A. 2
  2. Grau-Sánchez, M. 1
  3. Grau, A. 1
  4. Hernández, M.A. 2
  5. Noguera, M. 1
  6. Romero, N. 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:
Journal of Optimization Theory and Applications

ISSN: 0022-3239

Año de publicación: 2011

Volumen: 151

Número: 1

Páginas: 163-174

Tipo: Artículo

DOI: 10.1007/S10957-011-9870-Y SCOPUS: 2-s2.0-80052927012 WoS: WOS:000295091300010 GOOGLE SCHOLAR

Otras publicaciones en: Journal of Optimization Theory and Applications

Resumen

We present a modified method for solving nonlinear systems of equations with order of convergence higher than other competitive methods. We generalize also the efficiency index used in the one-dimensional case to several variables. Finally, we show some numerical examples, where the theoretical results obtained in this paper are applied. © 2011 Springer Science+Business Media, LLC.