A modification of Newton's Method for nondifferentiable Equations

  1. Hernández, M.A. 1
  2. Rubio, M.J. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Journal of Computational and Applied Mathematics

ISSN: 0377-0427

Year of publication: 2004

Volume: 164

Issue: 1

Pages: 409-417

Type: Article

DOI: 10.1016/S0377-0427(03)00650-2 SCOPUS: 2-s2.0-1442289541 WoS: WOS:000220099900028 DIALNET GOOGLE SCHOLAR

More publications in: Journal of Computational and Applied Mathematics

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Abstract

In this paper, we study the problem of approximating a solution of a nonlinear equation where the operator involved is nondifferentiable. Having the Newton method as origin we construct a uniparametric family of iterative processes to approximate a solution of the equation. To finish we consider several test problems. © 2003 Elsevier B.V. All rights reserved.