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

Journal:
Applied Numerical Mathematics

ISSN: 0168-9274

Year of publication: 2009

Volume: 59

Issue: 6

Pages: 1149-1158

Type: Article

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

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Abstract

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.