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9780898716313 Academic Inspection Copy

Perturbation Bounds for Matrix Eigenvalues

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Contains a unified exposition of spectral variation inequalities for matrices. The text provides a complete and self-contained collection of bounds for the distance between the eigenvalues of two matrices, which could be arbitrary or restricted to specific classes. Many basic results and techniques can be found in this book, making it a good reference for researchers and students. For the SIAM Classics edition, the author has added a new Supplements section, which includes recent results and discusses the important advances made in the study of theory, results, and proof techniques of spectral variation problems in the two decades since the book's original publication.
Rajendra Bhatia is a Professor in the Department of Statistics and Mathematics at the Indian Statistical Institute.
Preface to the Classics Edition Preface Introduction Chapter1: Preliminaries Chapter 2: Singular values and norms Chapter 3: Spectral variation of Hermitian matrices Chapter 4: Spectral variation of normal matrices Chapter 5: The general spectral variation problem Chapter 6: Arbitrary perturbations of constrained matrices Postscripts References Supplements 1986-2006 Chapter 7: Singular values and norms Chapter 8: Spectral variation of Hermitian matrices Chapter 9: Spectral variation of normal matrices Chapter 10: Spectral variation of diagonalizable matrices Chapter 11: The general spectral variation problem Chapter 12: Arbitrary perturbations of constrained matrices Chapter 13: Related Topics Bibliography Errata.
A research reference for all those interested in operator theory, linear algebra, and numerical analysis.
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