Perturbation Bounds for Matrix Eigenvalues

Preface to the Classics Edition Preface Introduction 1. Preliminaries 2. Singular values and norms 3. Spectral variation of Hermitian matrices 4. Spectral variation of normal matrices 5. The general spectral variation problem 6. Arbitrary perturbations of constrained matrices Postscripts References Supplements 1986-2006: 7. Singular values and norms 8. Spectral variation of Hermitian matrices 9. Spectral variation of normal matrices 10. Spectral variation of diagonalizable matrices 11. The general spectral variation problem 12. Arbitrary perturbations of constrained matrices 13. Related topics Bibliography Errata.