• DocumentCode
    2806073
  • Title

    A Novel Method Finding Multiple Roots of Nonlinear Equations

  • Author

    Hong-bin, Zhou

  • Author_Institution
    Hunan Railway Prof. Technol. Coll., Zhuzhou, China
  • Volume
    6
  • fYear
    2009
  • fDate
    14-16 Aug. 2009
  • Firstpage
    299
  • Lastpage
    302
  • Abstract
    A novel method for finding multiple roots of nonlinear equations is developed, which were not well solved by the other methods. The approach is especially suitable for finding the double roots of nonlinear equations. Several examples are given to illustrate the efficiency of the new method and to give the comparison with the recent cubic convergent methods. The results showed that the proposed approach can find the multiple roots of polynomials at a very rapid convergence and very high accuracy with less computation.
  • Keywords
    convergence of numerical methods; nonlinear equations; cubic convergent methods; double roots; multiple roots; nonlinear equations; Communication system control; Control systems; Educational institutions; Newton method; Nonlinear control systems; Nonlinear equations; Polynomials; Rail transportation; Signal processing; Systems engineering and theory; algorithm; multiple roots; nonlinear equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Natural Computation, 2009. ICNC '09. Fifth International Conference on
  • Conference_Location
    Tianjin
  • Print_ISBN
    978-0-7695-3736-8
  • Type

    conf

  • DOI
    10.1109/ICNC.2009.528
  • Filename
    5362723