Solving Nonlinear Integral Equations Arising in Radiactive Transfer

  1. Ezquerro, J.A. 1
  2. Gutiérrez, J.M. 1
  3. Hernández, M.A. 1
  4. Salanova, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revue:
Numerical Functional Analysis and Optimization

ISSN: 0163-0563

Année de publication: 1999

Volumen: 20

Número: 7

Pages: 661-673

Type: Article

SCOPUS: 2-s2.0-0032594387 WoS: WOS:000082897600004 DIALNET GOOGLE SCHOLAR

D'autres publications dans: Numerical Functional Analysis and Optimization

Résumé

The super-Halley method is, in general, an iterative process with order of convergence three. In this paper we study this method in Banach spaces and we prove that the method converges with order four when it is applied to quadratic equations. Consequently, for this type of equations, the application of the super-Halley iteration could be of practical interest, as we show in some examples: integral equations arising in radiative transfer.