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Iterative Methods for Solving Linear Systems (Frontiers in Applied Mathematics)
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ISBN
:
9780898713961
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Publisher
:
Society for Industrial and Applied Mathematics
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Subject
:
Mathematics
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Binding
:
PAPERBACK
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Pages
:
234
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Year
:
1987
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4894.0
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4208.0
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Description
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.
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