A construction procedure of iterative methods with cubical convergence II: Another convergence approach

  1. Ezquerro, J.A. 1
  2. Gutiérrez, J.M. 1
  3. Hernández, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Applied Mathematics and Computation

ISSN: 0096-3003

Year of publication: 1998

Volume: 92

Issue: 1

Pages: 59-68

Type: Article

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DOI: 10.1016/S0096-3003(97)10031-5 SCOPUS: 2-s2.0-23644442098 WoS: WOS:000073853900005 GOOGLE SCHOLAR

More publications in: Applied Mathematics and Computation

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Abstract

We extend the analysis of convergence of the iterations considered in Ezquerro et al. [Appl. Math. Comput. 85 (1997) 181] for solving nonlinear operator equations in Banach spaces. We establish a different Kantorovich-type convergence theorem for this family and give some error estimates in terms of a real parameter α ∈ [-5, 1). © 1998 Elsevier Science Inc. All rights reserved.