On a general transformation of multipoint root-solvers

• Beong In Yun ^[1] ; Miodrag Petković ^[2] ; Jovana Džunić ^[2]
  1. [1] Kunsan National University

     Kunsan National University

     Corea del Sur

     
  2. [2] University of Nis

     University of Nis

     Serbia

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 292, Nº 1 (15 January 2016), 2016, págs. 136-149
• Idioma: inglés
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• Resumen

  • Optimal multipoint methods for solving nonlinear equations of arbitrary order of convergence are investigated. A low cost transformation that converts Newton-preconditioned methods into a derivative free variant is presented. This transforming procedure preserves both algorithm body structure and order of convergence of the original scheme. Another useful application of the proposed transformation is the acceleration of convergence order of non-optimal methods.