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	Título: Iterative Krylov Methods For Large Linear Systems
	Autor: Van Der Vorst Henk A.	Precio: $559.00
	Editorial: Cambridge University Press	Año: 2009
	Tema: Matematicas, Computacion, Textos	Edición: 1ª
	Sinopsis	ISBN: 9780521183703
	Computational simulation of scientific phenomena and engineering problems often depends on solving linear systems with a large number of unknowns. This book gives insight into the construction of iterative methods for the solution of such systems and helps the reader to select the best solver for a given class of problems. The emphasis is on the main ideas and how they have led to efficient solvers such as CG, GMRES, and BI-CGSTAB. The author also explains the main concepts behind the construction of preconditioners. The reader is encouraged to gain experience by analysing numerous examples that illustrate how best to exploit the methods. The book also hints at many open problems and as such it will appeal to established researchers. There are many exercises that motivate the material and help students to understand the essential steps in the analysis and construction of algorithms. ¦ Now in paperback, it incorporates corrections from the author ¦ Based on extensive teaching experience ¦ Contains numerous exercises and references for further reading Contents 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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