A new convergence analysis for the two-step Newton Method for order three

• Argyros, Ioannis K. ^[1] ; Khattri, S. K. ^[2]
  1. [1] Cameron University

     Cameron University

     Estados Unidos

     
  2. [2] Stord Haugesund University College.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 32, Nº. 1, 2013, págs. 73-90
• Idioma: inglés
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• Resumen

  • We present a tighter than before semilocal convergence analysis for the two-step Newton method of order three using recurrent functions.Numerical examples are also provided to show that our convergence criteria are satisfied but earlier studies such as in nine, thirteen, fifteen are not satisfied.