Parameter-based algorithms for approximating local solution of nonlinear complex equations

• Argyros, Ioannis K. ^[1] ; Chen, Dong ^[2]
  1. [1] Cameron University

     Cameron University

     Estados Unidos

     
  2. [2] University of Arkansas, Arkansas.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 13, Nº. 1, 1994, págs. 53-61
• Idioma: inglés
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• Resumen

  • We study the Ostrowski-Kantorovich convergence for a family of Halley- Werner type iteration methods in the complex plane. We provide an upper error bound for all parameter ⍺ ∊ [1 , 2). We show that the error bound is a decreasing function of ⍺. We prove also that the Halley method has the largest error bound.