Iterative Methods for Solving Linear Systems

by Anne Greenbaum

Much recent research has concentrated on the efficient solution of large sparse or structured linear systems using iterative methods. A language loaded with acronyms for a thousand different algorithms has developed, and it is often difficult even for specialists to identify the basic principles involved. Here is a book that focuses on the analysis of iterative methods. The author includes the most useful algorithms from a practical point of view and discusses the mathematical principles behind their derivation and analysis. Several questions are emphasized Does the method converge? If so, how fast? Is it optimal, among a certain class? If not, can it be shown to be near-optimal? The answers are presented clearly, when they are known, and remaining important open questions are laid out for further study.

234 pages, Paperback

First published January 1, 1987

Reviews

[Paul Floyd · Rating 4 out of 5]

Just skimmed through the book. Will have to re-read it more slowly one day.