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

Journal:
Numerical Functional Analysis and Optimization

ISSN: 0163-0563

Year of publication: 1999

Volume: 20

Issue: 7

Pages: 661-673

Type: Article

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

More publications in: Numerical Functional Analysis and Optimization

Abstract

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.