On some computational orders of convergence

  1. Grau-Sánchez, M. 1
  2. Noguera, M. 1
  3. Gutiérrez, J.M. 2
  1. 1 Universitat Politècnica de Catalunya
    info

    Universitat Politècnica de Catalunya

    Barcelona, España

    ROR https://ror.org/03mb6wj31

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Zeitschrift:
Applied Mathematics Letters

ISSN: 0893-9659

Datum der Publikation: 2010

Ausgabe: 23

Nummer: 4

Seiten: 472-478

Art: Artikel

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DOI: 10.1016/J.AML.2009.12.006 SCOPUS: 2-s2.0-76749090063 WoS: WOS:000276270300028 GOOGLE SCHOLAR

Andere Publikationen in: Applied Mathematics Letters

Institutionelles Repository: lock_openOpen Access Editor

Projekte im Zusammenhang

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

2009/00009/001

Zusammenfassung

Two variants of the Computational Order of Convergence (COC) of an iterative method for solving nonlinear equations are presented. Furthermore, the way to approximate the COC and the new variants to the local order of convergence is analyzed. The new definitions given here does not involve the unknown root. Numerical experiments using adaptive arithmetic with multiple precision and a stopping criteria are implemented without using any known root. © 2009 Elsevier Ltd. All rights reserved.