• DocumentCode
    3022512
  • Title

    The construction of iterative methods with higher convergence

  • Author

    Yu, Cheng ; Cao, Qiang ; Hu, Xiao ; Xu, Yueliang

  • Author_Institution
    Dept. of Math., Southwest Jiaotong Univ., Chengdu, China
  • fYear
    2011
  • fDate
    26-28 July 2011
  • Firstpage
    2670
  • Lastpage
    2674
  • Abstract
    In this paper, we prove that iterative methods with higher convergence to solve nonlinear equations can be obtained either by using the higher derivatives or by using more iterative steps. Based on these theories we developed some new iterative methods which converge fast. The numerical tests also corroborate our results.
  • Keywords
    convergence of numerical methods; iterative methods; nonlinear equations; higher convergence; higher derivatives; iterative methods; nonlinear equations; Convergence; Iterative methods; Mathematical model; Nonlinear equations; Polynomials; convergence; iterative methods; nonlinear equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multimedia Technology (ICMT), 2011 International Conference on
  • Conference_Location
    Hangzhou
  • Print_ISBN
    978-1-61284-771-9
  • Type

    conf

  • DOI
    10.1109/ICMT.2011.6001709
  • Filename
    6001709