Local Convergence for an Improved Jarratt-type Method in Banach Space

  1. Argyros, Ioannis K.
  2. González Sánchez, Daniel
Revista:
IJIMAI

ISSN: 1989-1660

Año de publicación: 2015

Volumen: 3

Número: 4

Páginas: 20-25

Tipo: Artículo

DOI: 10.9781/IJIMAI.2015.344 DIALNET GOOGLE SCHOLAR lock_openDialnet editor

Otras publicaciones en: IJIMAI

Resumen

We present a local convergence analysis for an improved Jarratt-type methods of order at least five to approximate a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are given using hypotheses up to the first Fre´chet derivative in contrast to earlier studies using hypotheses up to the third Fre´chet derivative. Numerical examples are also provided in this study, where the older hypotheses are not satisfied to solve equations but the new hypotheses are satisfied.

Fuente de los datos: Dialnet