A modification of Cauchy's method for quadratic equations

  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

Revue:
Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

Année de publication: 2008

Volumen: 339

Número: 2

Pages: 954-969

Type: Article

DOI: 10.1016/J.JMAA.2007.06.062 SCOPUS: 2-s2.0-35348972437 WoS: WOS:000252286000018 GOOGLE SCHOLAR

D'autres publications dans: Journal of Mathematical Analysis and Applications

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Projets liés

Diferentes tipos de condiciones iniciales para la convergencia semilocal en la aproximación de ceros de operadores no lineales. Aplicaciones.

2005/00064/001

Résumé

The plan of this paper is to obtain one-point iterative methods with any R-order of convergence, when they are applied to approximate solutions of quadratic equations in Banach spaces. To do this, we consider real Cauchy's method and, under certain natural modifications, it is extended to Banach spaces. Some applications are also provided. © 2007 Elsevier Inc. All rights reserved.