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

Revue:
Civil-Comp Proceedings

ISSN: 1759-3433

Année de publication: 2014

Volumen: 105

Type: Article

SCOPUS: 2-s2.0-84963819253 GOOGLE SCHOLAR

D'autres publications dans: Civil-Comp Proceedings

Résumé

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.