Accessibility of Solutions by Newton's Method

  1. Gutiérrez, J.M. 1
  2. Hernández, M.A. 1
  3. Salanova, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revue:
International Journal of Computer Mathematics

ISSN: 0020-7160

Année de publication: 1995

Volumen: 57

Número: 3-4

Pages: 239-247

Type: Article

DOI: 10.1080/00207169508804427 SCOPUS: 2-s2.0-84954712005 WoS: WOS:A1995UH02600010 GOOGLE SCHOLAR

D'autres publications dans: International Journal of Computer Mathematics

Résumé

We give new conditions for the convergence of Newton's method in Banach spaces, in terms of the degree of logarithmic convexity. These conditions guarantee the convergence of Newton sequence in cases where the hypothesis of Kantorovich theorem are not verified, as we show in some examples