Center conditions on high order derivatives in the semilocal convergence of Newton's method

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

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Zeitschrift:
Journal of Complexity

ISSN: 0885-064X

Datum der Publikation: 2015

Ausgabe: 31

Nummer: 2

Seiten: 277-292

Art: Artikel

DOI: 10.1016/J.JCO.2014.10.001 SCOPUS: 2-s2.0-84925039262 WoS: WOS:000350073300007 GOOGLE SCHOLAR

Andere Publikationen in: Journal of Complexity

Institutionelles Repository: lockOpen Access Editor

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

We modify the classical theory of Kantorovich to analyze the semilocal convergence of Newton's method in Banach spaces under center conditions for high order derivatives. As a consequence, we obtain a modification of the domain of the starting points for Newton's method. This analysis is illustrated with an application to a boundary value problem. © 2014 Elsevier Inc. All rights reserved.