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

Aldizkaria:
Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

Argitalpen urtea: 2008

Alea: 339

Zenbakia: 2

Orrialdeak: 954-969

Mota: Artikulua

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

Beste argitalpen batzuk: Journal of Mathematical Analysis and Applications

Gordailu instituzionala: lock_openSarbide irekia Editor

Lotura duten proiektuak

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

2005/00064/001

Laburpena

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.