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