A construction procedure of iterative methods with cubical convergence

  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

Revue:
Applied Mathematics and Computation

ISSN: 0096-3003

Année de publication: 1997

Volumen: 85

Número: 2

Pages: 181-199

Type: Article

DOI: 10.1016/S0096-3003(96)00134-8 SCOPUS: 2-s2.0-0038835143 WoS: WOS:A1997XR02100008 GOOGLE SCHOLAR

D'autres publications dans: Applied Mathematics and Computation

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Résumé

We study the Kantorovich convergence for parameter-based methods for solving nonlinear operator equations in Banach spaces. We also derive a closed form of error bounds in terms of a real parameter α ∈ [0,1]. © Elsevier Science Inc., 1997.