Iterative Krylov Methods for Large Linear Systems

Informationen zum Autor Henk A. van der Vorst is Professor Emeritus in the Mathematical Institute of Utrecht University. Klappentext Overview of iterative solutions methods for systems of linear equations. For graduate students and researchers. Zusammenfassung Based on the author's extensive teaching experience! this book presents an overview of a number of Krylov projection methods for the solution of linear systems of equations. There are a large number of references for further reading as well as exercises to help students as they first encounter the material. Inhaltsverzeichnis 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.

Product details

• Authors: Henk A. van der Vorst, Henk A. (Universiteit Utrecht Van Der Vorst, Henk A. van der Vorst, Henk A.Van Der Vorst
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 01.10.2009
• EAN: 9780521183703
• ISBN: 978-0-521-18370-3
• No. of pages: 236
• Series: Cambridge Monographs on Applied and Computational Mathematics; Cambridge Monographs on Applie; Cambridge Monographs on Applied and Computational Mathematics; Cambridge Monographs on Applie
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis