• Title of article

    An improved LLL algorithm Original Research Article

  • Author/Authors

    Franklin T. Luk، نويسنده , , Daniel M. Tracy، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2008
  • Pages
    12
  • From page
    441
  • To page
    452
  • Abstract
    The LLL algorithm has received a lot of attention as an effective numerical tool for preconditioning an integer least squares problem. However, the workings of the algorithm are not well understood. In this paper, we present a new way to look at the LLL reduction, which leads to a new implementation method that performs better than the original LLL scheme.
  • Keywords
    LLL algorithm , integer least squares , Reduced basis , QR decomposition , Gauss transformation , Plane reflection , Condition number , Unimodular transformation
  • Journal title
    Linear Algebra and its Applications
  • Serial Year
    2008
  • Journal title
    Linear Algebra and its Applications
  • Record number

    825789