On the Domain of Starting Points of Newton’s Method Under Center Lipschitz Conditions

  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

Aldizkaria:
Mediterranean Journal of Mathematics

ISSN: 1660-5446

Argitalpen urtea: 2015

Alea: 13

Zenbakia: 4

Orrialdeak: 2287

Mota: Artikulua

DOI: 10.1007/S00009-015-0596-1 SCOPUS: 2-s2.0-84931087146 WoS: WOS:000380671700057 GOOGLE SCHOLAR

Beste argitalpen batzuk: Mediterranean Journal of Mathematics

Lotura duten proiektuak

Procesos iteratios para resolver ecuaciones no lineales: construcción, convergencia, eficacia, análisis dinámico y aplicaciones

2012/00014/001

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

When the semilocal convergence of Newton’s method is studied in Banach spaces under center Lipschitz conditions, it is usual to choose the point where the Lipschitz condition is centered as the initial point for Newton’s method. In this work, we improve this choice looking for a domain of initial points (a convergence domain). © 2015 Springer Basel