Fourth-order iterations for solving Hammerstein integral equations

  1. Ezquerro, J.A. 1
  2. Hernández, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Aldizkaria:
Applied Numerical Mathematics

ISSN: 0168-9274

Argitalpen urtea: 2009

Alea: 59

Zenbakia: 6

Orrialdeak: 1149-1158

Mota: Artikulua

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DOI: 10.1016/J.APNUM.2008.05.005 SCOPUS: 2-s2.0-62549141801 WoS: WOS:000265335900001 GOOGLE SCHOLAR

Beste argitalpen batzuk: Applied Numerical Mathematics

Garapen Iraunkorreko Helburuak

Lotura duten proiektuak

Regiones de accesibilidad y optimización de procesos iterativos para resolver ecuaciones no lineales. Aplicaciones

2009/00009/001

Laburpena

We analyze the semilocal convergence of a new class of fourth-order iterations under mild differentiability conditions, so that they can be applied to solve some non-linear integral equations of mixed Hammerstein type, whereas the same iterations cannot be applied to solve these equations if the usual convergence conditions for fourth-order iterations are required. © 2008 IMACS.