Iterative methods for solving linear systems
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 throughout: 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.
Categories:
Year:
1987
Edition:
1
Publisher:
Society for Industrial and Applied Mathematics
Language:
english
Pages:
237
ISBN 10:
089871396X
ISBN 13:
9780898713961
Series:
Frontiers in applied mathematics 17
File:
DJVU, 1.93 MB
IPFS:
,
english, 1987