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
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
Journal title :
Linear Algebra and its Applications
