This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications.
This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications.
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.
Inhaltsangabe
1. Chapter One: Background in Matrix Theory and Linear Algebra 2. Chapter Two: Sparse Matrices 3. Chapter Three: Perturbation Theory and Error Analysis 4. Chapter Four: The Tools of Spectral Approximation 5. Chapter Five: Subspace Iteration 6. Chapter Six: Krylov Subspace Methods 7. Chapter Seven: Filtering and Restarting Techniques 8. Chapter Eight: Preconditioning Techniques 9. Chapter Nine: Non-Standard Eigenvalue Problems 10. Chapter Ten: Origins of Matrix Eigenvalue Problems