On a generalization of the Steffensen method on banach spaces

  1. Amat, S. 1
  2. Ezquerro, J.A. 2
  3. Hernández-Verón, M.A. 2
  4. Magreñán, Á.A. 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:
Civil-Comp Proceedings

ISSN: 1759-3433

Year of publication: 2014

Volume: 105

Type: Article

SCOPUS: 2-s2.0-84963819253 GOOGLE SCHOLAR

More publications in: Civil-Comp Proceedings

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Procesos iteratios para resolver ecuaciones no lineales: construcción, convergencia, eficacia, análisis dinámico y aplicaciones

2012/00014/001

Abstract

We consider a new Steffensen-like iterative method with better applicability than the classical Steffensen method. We analyse the semilocal convergence of this method by means of the majorant principle of Kantorovich. We see that the convergence conditions considered are reduced to the conditions usually imposed on the classical Steffensen method when the new method is reduced to the classical Steffensen method. © Civil-Comp Press, 2014.