Perturbation Bounds for Matrix Eigenvalues

Rajendra Bhatia is a Professor in the Department of Statistics and Mathematics at the Indian Statistical Institute.

• Preface to the Classics EditionPrefaceIntroductionChapter1: PreliminariesChapter 2: Singular values and normsChapter 3: Spectral variation of Hermitian matricesChapter 4: Spectral variation of normal matricesChapter 5: The general spectral variation problemChapter 6: Arbitrary perturbations of constrained matricesPostscriptsReferencesSupplements 1986–2006Chapter 7: Singular values and normsChapter 8: Spectral variation of Hermitian matricesChapter 9: Spectral variation of normal matricesChapter 10: Spectral variation of diagonalizable matricesChapter 11: The general spectral variation problemChapter 12: Arbitrary perturbations of constrained matricesChapter 13: Related TopicsBibliographyErrata.