• Title of article

    Relative perturbation bounds for the eigenvalues of diagonalizable and singular matrices – Application of perturbation theory for simple invariant subspaces

  • Author/Authors

    Yimin Wei، نويسنده , , Xiezhang Li، نويسنده , , Fanbin Bu، نويسنده , , Fuzhen Zhang، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    7
  • From page
    765
  • To page
    771
  • Abstract
    Perturbation bounds for the relative error in the eigenvalues of diagonalizable and singular matrices are derived by using perturbation theory for simple invariant subspaces of a matrix and the group inverse of a matrix. These upper bounds are supplements to the related perturbation bounds for the eigenvalues of diagonalizable and nonsingular matrices.
  • Keywords
    Diagonalizable and singular matrix , Simple invariant subspaces , Separation function , Relative perturbation bound
  • Journal title
    Linear Algebra and its Applications
  • Serial Year
    2006
  • Journal title
    Linear Algebra and its Applications
  • Record number

    825388