Calculus of nth roots and third order iterative methods

  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

Revista:
Nonlinear Analysis

ISSN: 0362-546X

Año de publicación: 2001

Volumen: 47

Número: 4

Páginas: 2875-2880

Tipo: Artículo

DOI: 10.1016/S0362-546X(01)00408-4 SCOPUS: 2-s2.0-0035421845 WoS: WOS:000170889300066 GOOGLE SCHOLAR

Otras publicaciones en: Nonlinear Analysis

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

A family of iterative methods is analyzed for the problem of extracting the nth root of a positive number R. The method is used to solve the nonlinear equation t n - R = 0. For each value of n, the method is used for the family for which the highest order of convergence is reached.