• Title of article

    A new Householders method free from second derivatives for solving nonlinear equations and polynomiography

  • Author/Authors

    Nazeer ، Waqas - University of Education , Tanveer ، Muhmmad - University of Lahore , Kang ، Shin Min - Gyeongsang National University , Naseem ، Amir - Lahore Leads University

  • Pages
    10
  • From page
    998
  • To page
    1007
  • Abstract
    In this paper, we describe the new Huseholder s method free from second derivatives for solving nonlinear equations. The new Huseholder s method has convergence of order five and effciency index 5^ 1/3 1:70998, which converges faster than the Newton s method, the Halley s method and the Huseh older s method. The comparison table demonstrate the faster convergence of our method. Polynomiography via the new Huseholder s method is also presented.
  • Keywords
    Nonlinear equation , Newton s method , Halley s method , Huseholder s method , polynomiography
  • Journal title
    Journal of Nonlinear Science and Applications
  • Serial Year
    2016
  • Journal title
    Journal of Nonlinear Science and Applications
  • Record number

    2475780