Iterative Krylov Methods for Large Linear Systems
Book Details
Format
Paperback / Softback
ISBN-10
0521183707
ISBN-13
9780521183703
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Oct 1st, 2009
Print length
236 Pages
Weight
386 grams
Dimensions
22.80 x 15.10 x 1.20 cms
Product Classification:
Numerical analysisMathematical theory of computation
Ksh 10,100.00
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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.
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.
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