• Title of article

    Newton’s method for concave operators with resolvent positive derivatives in ordered Banach spaces Original Research Article

  • Author/Authors

    T. Damm، نويسنده , , D. Hinrichsen، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    22
  • From page
    43
  • To page
    64
  • Abstract
    We prove a non-local convergence result for Newton’s method applied to a class of nonlinear equations in ordered real Banach spaces. The key tools in our approach are special notions of concavity and the spectral theory of resolvent positive operators.
  • Keywords
    Concave operators , Riccati equation , Positive operators , Newton’s method
  • Journal title
    Linear Algebra and its Applications
  • Serial Year
    2003
  • Journal title
    Linear Algebra and its Applications
  • Record number

    823840