• Title of article

    Integrable discretization and its applications

  • Author/Authors

    Shibutani، نويسنده , , Norimasa، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1999
  • Pages
    17
  • From page
    57
  • To page
    73
  • Abstract
    Using an integrable discretization of the Rayleigh quotient system, a new algorithm for computing the largest eigenvalue is obtained. The Rayleigh quotient system is discretized by our own method (Bull. Kurume Inst. Technol 11 (1987) 1–7), which solves a quadratic differential equation explicitly. The algorithm converges more rapidly than Wilkinsonʹs power method with a shift of the origin.
  • Keywords
    Integrable discretization , Rayleigh quotient , Power method with a shift
  • Journal title
    Journal of Computational and Applied Mathematics
  • Serial Year
    1999
  • Journal title
    Journal of Computational and Applied Mathematics
  • Record number

    1550151