A study of the influence of center conditions on the domain of parameters of Newton’s method by using recurrence relations

  1. Ezquerro, J.A. 1
  2. Hernández-Verón, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Advances in Computational Mathematics

ISSN: 1019-7168

Year of publication: 2017

Volume: 43

Issue: 5

Pages: 1103-1129

Type: Article

DOI: 10.1007/S10444-017-9518-Z SCOPUS: 2-s2.0-85014055164 WoS: WOS:000414687000009 GOOGLE SCHOLAR

More publications in: Advances in Computational Mathematics

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Abstract

This paper focuses on the importance of center conditions on the first derivative of the operator involved in the solution of nonlinear equations by Newton’s method when the semilocal convergence of the method is established from the technique of recurrence relations. © 2017 Springer Science+Business Media New York