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

Buch:
Advances in Iterative Methods for Nonlinear Equations

Verlag: Springer

ISBN: 978-3-319-39227-1

Datum der Publikation: 2016

Ausgabe: 10

Seiten: 113-145

Art: Buch-Kapitel

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

Projekte im Zusammenhang

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 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.