On the semilocal convergence of a three steps Newton-type iterative process under mild convergence conditions

  1. Hernández-Verón, M.A. 1
  2. Martínez, E. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad Politécnica de Valencia
    info

    Universidad Politécnica de Valencia

    Valencia, España

    ROR https://ror.org/01460j859

Zeitschrift:
Numerical Algorithms

ISSN: 1017-1398

Datum der Publikation: 2015

Ausgabe: 70

Nummer: 2

Seiten: 377-392

Art: Artikel

DOI: 10.1007/S11075-014-9952-7 SCOPUS: 2-s2.0-84942503350 WoS: WOS:000361819600009 GOOGLE SCHOLAR

Andere Publikationen in: Numerical Algorithms

Projekte im Zusammenhang

Procesos iteratios para resolver ecuaciones no lineales: construcción, convergencia, eficacia, análisis dinámico y aplicaciones

2012/00014/001

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

Zusammenfassung

In this paper the semilocal convergence for an alternative to the three steps Newton’s method with frozen derivative is presented. We analyze the generalization of convergence conditions given by w-conditioned non-decreasing functions instead of the first derivative Lipschitz or Holder continuous given by other authors. A nonlinear integral equation of mixed Hammerstein type is considered for illustrating the new theoretical results obtained in this paper, where previous results can not be satisfied.