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

Liburua:
Advances in Iterative Methods for Nonlinear Equations

Argitaletxea: Springer

ISBN: 978-3-319-39227-1

Argitalpen urtea: 2016

Alea: 10

Orrialdeak: 113-145

Mota: Liburuko kapitulua

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

Lotura duten proiektuak

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

Laburpena

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.