A new third-order iterative process for solving nonlinear equations.

  1. Hernández, M.A. 11
  2. Salanova, M.A. 11
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Monatshefte für Mathematik Print

ISSN: 0026-9255

Year of publication: 2001

Volume: 133

Issue: 2

Pages: 131-142

Type: Article

DOI: 10.1007/S006050170027 SCOPUS: 2-s2.0-18044400355 WoS: WOS:000171090800004 GOOGLE SCHOLAR

More publications in: Monatshefte für Mathematik Print

Institutional repository: lock_openOpen access Editor

Abstract

In this paper, we build up a modification of the Midpoint method, reducing its operational cost without losing its cubical convergence. Then we obtain a semilocal convergence result for this new iterative process and by means of several examples we compare it with other iterative processes.