The theory of Kantorovich for Newton’s method: Conditions on the second derivative

  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

Libro:
Advances in Iterative Methods for Nonlinear Equations

Editorial: Springer

ISBN: 978-3-319-39227-1

Año de publicación: 2016

Volumen: 10

Páginas: 113-145

Tipo: Capítulo de Libro

DOI: 10.1007/978-3-319-39228-8_6 PMID: English SCOPUS: 2-s2.0-85031747801 WoS: WOS:000400343500006 GOOGLE SCHOLAR

Resumen

We present, from the Kantorovich theory for Newton’s method, two variants of the classic Newton-Kantorovich study that allow guaranteeing the semilocal convergence of the method for solving more nonlinear equations. © Springer International Publishing Switzerland 2016.