Numerical Methods for Large Eigenvalue Problems

Yousef Saad is a College of Science and Engineering Distinguished Professor in the Department of Computer Science at the University of Minnesota. His current research interests include numerical linear algebra, sparse matrix computations, iterative methods, parallel computing, numerical methods for electronic structure and data analysis. He is a Fellow of SIAM and the AAAS.

• Chapter One: Background in Matrix Theory and Linear AlgebraChapter Two: Sparse MatricesChapter Three: Perturbation Theory and Error AnalysisChapter Four: The Tools of Spectral ApproximationChapter Five: Subspace IterationChapter Six: Krylov Subspace MethodsChapter Seven: Filtering and Restarting TechniquesChapter Eight: Preconditioning TechniquesChapter Nine: Non-Standard Eigenvalue ProblemsChapter Ten: Origins of Matrix Eigenvalue Problems