On the ball of convergence of secant-like methods for non-differentiable operators

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

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Applied Mathematics and Computation

ISSN: 0096-3003

Año de publicación: 2016

Volumen: 273

Páginas: 506-512

Tipo: Artículo

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DOI: 10.1016/J.AMC.2015.10.007 SCOPUS: 2-s2.0-84945587433 WoS: WOS:000365613400045 GOOGLE SCHOLAR

Otras publicaciones en: Applied Mathematics and Computation

Objetivos de desarrollo sostenible

Proyectos relacionados

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

Resumen

In this paper, we analyze the local convergence of a uniparametric family of secant-like methods for solving nonlinear operators in Banach spaces. This new study has an important and novel feature, since it is applicable to non-differential operators. So far, the results of local convergence usually considered can be only applied to differentiable operators. © 2015 Elsevier Inc.