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

Revista:
Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

Any de publicació: 2008

Volum: 339

Número: 2

Pàgines: 954-969

Tipus: Article

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

Altres publicacions en: Journal of Mathematical Analysis and Applications

Repositori institucional: lock_openAccés obert Editor

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Resum

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.