An Ulm-type method with R-order of convergence three

  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:
Nonlinear Analysis: Real World Applications

ISSN: 1468-1218

Year of publication: 2012

Volume: 13

Issue: 1

Pages: 14-26

Type: Article

DOI: 10.1016/J.NONRWA.2011.07.039 SCOPUS: 2-s2.0-80052813623 WoS: WOS:000295954500002 GOOGLE SCHOLAR

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Abstract

A new iterative method of third-order of convergence is constructed with the interesting feature that the calculation of inverse operators is not needed if the inverse of an operator is approximated. The semilocal convergence of the method is studied under classical Kantorovich-type conditions for iterative methods of second-order. Some applications are given, where the most important features of the method are shown. © 2011 Elsevier Ltd. All rights reserved.