Numerical Methods for Large Eigenvalue Problems - Yousef Saad

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Résumé :

• Chapter One: Background in Matrix Theory and Linear Algebra
• Chapter Two: Sparse Matrices
• Chapter Three: Perturbation Theory and Error Analysis
• Chapter Four: The Tools of Spectral Approximation
• Chapter Five: Subspace Iteration
• Chapter Six: Krylov Subspace Methods
• Chapter Seven: Filtering and Restarting Techniques
• Chapter Eight: Preconditioning Techniques
• Chapter Nine: Non-Standard Eigenvalue Problems
• Chapter Ten: Origins of Matrix Eigenvalue Problems
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Biographie:
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.

Sommaire:
Preface to the Classics Edition; Preface; 1. Background in matrix theory and linear algebra; 2. Sparse matrices; 3. Perturbation theory and error analysis; 4. The tools of spectral approximation; 5. Subspace iteration; 6. Krylov subspace methods; 7. Filtering and restarting techniques; 8. Preconditioning techniques; 9. Non-standard eigenvalue problems; 10. Origins of matrix eigenvalue problems; References; Index.