Title

Relative Perturbation Bounds for the Eigenvalues of Diagonalizable and Singular Matrices – Application of Perturbation Theory for Simple Invariant Subspaces

Document Type

Article

Publication Date

12-1-2006

Publication Title

Linear Algebra and Its Applications

DOI

10.1016/j.laa.2006.06.015

ISSN

0024-3795

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.

Share

COinS