On the accessibility of Newton's method under a Hölder condition on the first derivative

  1. Ezquerro, J.A. 1
  2. Hernández-Verón, M.Á. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Aldizkaria:
Algorithms

ISSN: 1999-4893

Argitalpen urtea: 2015

Alea: 8

Zenbakia: 3

Orrialdeak: 514-528

Mota: Artikulua

DOI: 10.3390/A8030514 SCOPUS: 2-s2.0-84944067943 WoS: WOS:000364150500011 GOOGLE SCHOLAR lock_openSarbide irekia editor

Beste argitalpen batzuk: Algorithms

Gordailu instituzionala: lock_openSarbide irekia Editor

Lotura duten proiektuak

Ecuaciones no lineales y métodos iterativos. Aplicaciones a problemas de optimización y ecuaciones matriciales. Nonlinear equations and iterative methods. Applications to optimization problems and matrix equations.

2015/00069/001

Laburpena

We see how we can improve the accessibility of Newton's method for approximating a solution of a nonlinear equation in Banach spaces when a center Hölder condition on the first derivative is used to prove its semi-local convergence. © 2015 by the authors.