Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems Yousef Saad 6. 15 12. 4 9 5. 11 14 8. 2 10 3. 13 7. 1. Copyright c 2000 by Yousef Saad. S ECOND EDITION WITH CORRECTIONS . JANUARY 3 RD , 2000. . PREFACE xiii Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiv Suggestions for Teaching . . . . . . . . . . . . . . . . . . . . . . . . . xv 1 BACKGROUND IN Linear ALGEBRA 1. Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1. Square Matrices and Eigenvalues . . . . . . . . . . . . . . . . . . . . . 3. Types of Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4. Vector Inner Products and Norms . . . . . . . . . . . . . . . . . . . . . 6. Matrix Norms.
Iterative methods for solving general, large sparse linear systems have been gaining popularity in many areas of scientific computing. Until recently, direct solution methods
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