Article ID Journal Published Year Pages File Type
4602836 Linear Algebra and its Applications 2006 7 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory