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Iterative Krylov methods for large linear systems

Henk A. van der Vorst

📄 Abstract

Preface 1. Introduction 2. Mathematical preliminaries 3. Basic iteration methods 4. Construction of approximate solutions 5. The conjugate gradients method 6. GMRES and MINRES 7. Bi-conjugate gradients 8. How serious is irregular convergence? 9. BI-CGSTAB 10. Solution of singular systems 11. Solution of f (A)x = b with Krylov subspace information 12. Miscellaneous 13. Preconditioning References Index.

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