• DocumentCode
    3210769
  • Title

    A seventh-order convergent Newton-type method for solving nonlinear equations

  • Author

    Hu, Yunhong ; Fang, Liang

  • Author_Institution
    Dept. of Appl. Math., Yuncheng Univ., Yuncheng, China
  • Volume
    2
  • fYear
    2010
  • fDate
    13-14 Sept. 2010
  • Firstpage
    13
  • Lastpage
    15
  • Abstract
    In this paper, we present a seventh-order convergent Newton-type method for solving nonlinear equations which is free from second derivative. At each iteration it requires three evaluations of the given function and two evaluation of its first derivative. Therefore its efficiency index is equal to 5√7 which is better than that of Newton´s method √2. Several examples demonstrate that the algorithm is more efficient than classical Newton´s method and other existing methods.
  • Keywords
    Newton method; convergence of numerical methods; nonlinear equations; iterative method; nonlinear equations; seventh order convergent newton type method; Convergence; Helium; Indexes; Iterative methods; Newton method; Nonlinear equations; Newton´s method; Nonlinear equations; iterative; method; order of convergence;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Intelligence and Natural Computing Proceedings (CINC), 2010 Second International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-1-4244-7705-0
  • Type

    conf

  • DOI
    10.1109/CINC.2010.5643798
  • Filename
    5643798
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3210769