An adaptative version of a fourth order iterative method for quadratic equations

  1. Amat, S. 1
  2. Busquier, S. 1
  3. Gutiérrez, J.M. 2
  1. 1 Universidad Politécnica de Cartagena
    info

    Universidad Politécnica de Cartagena

    Cartagena, España

    ROR https://ror.org/02k5kx966

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Journal of Computational and Applied Mathematics

ISSN: 0377-0427

Year of publication: 2006

Volume: 191

Issue: 2

Pages: 259-268

Type: Article

DOI: 10.1016/J.CAM.2005.06.042 SCOPUS: 2-s2.0-33645952992 WoS: WOS:000237100200010 GOOGLE SCHOLAR

More publications in: Journal of Computational and Applied Mathematics

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Abstract

A fourth-order iterative method for quadratic equations is presented. A semilocal convergence theorem is performed. A multiresolution transform corresponding to interpolatory technique is used for fast application of the method. In designing this algorithm we apply data compression to the linear and the bilinear forms that appear on the method. Finally, some numerical results are studied. © 2005 Elsevier B.V. All rights reserved.