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Iterative Krylov Methods for Large Linear Systems

ISBN-10: 0521818281

ISBN-13: 9780521818285

Edition: 2003

Authors: Henk A. van der Vorst, M. J. Ablowitz, S. H. Davis, E. J. Hinch, A. Iserles

List price: $106.99
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Description:

Based on extensive research by Henk van der Vorst, this book presents an overview of a number of Krylov projection methods for the solution of linear systems of equations. Van der Vorst demonstrates how these methods can be derived from basic iteration formulas and how they are related. Focusing on the ideas behind the methods rather than a complete presentation of the theory, the volume includes a substantial amount of references for further reading as well as exercises to help students initially encountering the material.
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Book details

List price: $106.99
Copyright year: 2003
Publisher: Cambridge University Press
Publication date: 4/17/2003
Binding: Hardcover
Pages: 236
Size: 6.25" wide x 9.50" long x 0.75" tall
Weight: 1.100
Language: English

Preface
Introduction
Mathematical preliminaries
Basic iteration methods
Construction of approximate solutions
The conjugate gradients method
GMRES and MINRES
Bi-conjugate gradients
How serious is irregular convergence?
BI-CGSTAB
Solution of singular systems
Solution of f (A)x = b with Krylov subspace information
Miscellaneous
Preconditioning
References
Index