Iterative Krylov Methods for Large Linear Systems (Paperback)

Henk A. Van Der Vorst

ISBN 10: 0521183707 / ISBN 13: 9780521183703

Published by Cambridge University Press, Cambridge, 2009

About this Item

Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780521183703

Bibliographic Details

• Title: Iterative Krylov Methods for Large Linear Systems (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2009
• Language: English
• ISBN 10: 0521183707
• ISBN 13: 9780521183703
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.

About the Author

Henk A. van der Vorst is Professor Emeritus in the Mathematical Institute of Utrecht University.