Analysing the efficiency of some modifications of the secant method

  1. Ezquerro, J.A. 2
  2. Grau, A. 1
  3. Grau-Sánchez, M. 1
  4. Hernández, M.A. 2
  5. Noguera, M. 1
  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

Revue:
Computers & Mathematics with Applications

ISSN: 0898-1221

Année de publication: 2012

Volumen: 64

Número: 6

Pages: 2066-2073

Type: Article

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DOI: 10.1016/J.CAMWA.2012.03.105 SCOPUS: 2-s2.0-84865645416 WoS: WOS:000309248100045 GOOGLE SCHOLAR

D'autres publications dans: Computers & Mathematics with Applications

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Projets liés

Procesos iteratios para resolver ecuaciones no lineales: construcción, convergencia, eficacia, análisis dinámico y aplicaciones

2012/00014/001

Résumé

Some modifications of the secant method for solving nonlinear equations are revisited and the local order of convergence is found in a direct symbolic computation. To do this, a development of the inverse of the first order divided differences of a function of several variables in two points is presented. A generalisation of the efficiency index used in the scalar case to several variables is also analysed in order to use the most competitive algorithm. © 2012 Elsevier Ltd. All rights reserved.