Domains of global convergence for Newton's method from auxiliary points

  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

Revista:
Applied Mathematics Letters

ISSN: 0893-9659

Any de publicació: 2018

Volum: 85

Pàgines: 48-56

Tipus: Article

DOI: 10.1016/J.AML.2018.05.023 SCOPUS: 2-s2.0-85048596948 GOOGLE SCHOLAR

Altres publicacions en: Applied Mathematics Letters

Projectes relacionats

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

Resum

We introduce auxiliary points to obtain domains of global convergence for Newton's method without imposing convergence conditions on the local solution of equation to solve, as local convergence results do. © 2018 Elsevier Ltd