• Title of article

    On Newton’s method under Hölder continuous derivative ✩

  • Author/Authors

    Huang Zhengda، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2002
  • Pages
    8
  • From page
    332
  • To page
    339
  • Abstract
    A Mysovskii-type theorem for Newton’s method under (k,p)-Hölder continuous derivative is considered in this paper. For the application studied by others, the new condition is weaker than ones in the literature. Also we prove that the optimal convergent order is p + 1 for 0
  • Keywords
    Semilocal convergence , Convergent order , Newton’s method
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2002
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    929973