Improving the efficiency index of one-point iterative processes

  1. Ezquerro, J.A. 1
  2. Hernández, M.A. 1
  3. Romero, N. 1
  1. 1 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: 2009

Volume: 223

Issue: 2

Pages: 879-892

Type: Article

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DOI: 10.1016/J.CAM.2008.03.004 SCOPUS: 2-s2.0-56949095193 WoS: WOS:000261898900029 GOOGLE SCHOLAR

More publications in: Journal of Computational and Applied Mathematics

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Abstract

From the ideas of improving the speed of convergence and reducing the computational cost of one-point iterations, a new uniparametric family of multipoint iterations is constructed in Banach spaces to solve nonlinear equations. The semilocal convergence and the R-order of convergence of the new iterations are analyzed and numerical tests are also given. © 2008 Elsevier B.V. All rights reserved.