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A Survey of Preconditioned Iterative Methods (Research Notes in Mathematics, 328, Band 328) - Softcover

Buch 20 von 39: Chapman & Hall/CRC Research Notes in Mathematics

Bruaset, Are Magnus

 
9780582276543: A Survey of Preconditioned Iterative Methods (Research Notes in Mathematics, 328, Band 328)
Softcover
ISBN 10: 0582276543 ISBN 13: 9780582276543
Verlag: Taylor & Francis Ltd, 1995

Inhaltsangabe

The problem of solving large, sparse, linear systems of algebraic equations is vital in scientific computing, even for applications originating from quite different fields. A Survey of Preconditioned Iterative Methods presents an up to date overview of iterative methods for numerical solution of such systems. Typically, the methods considered are well suited for the kind of systems arising from the discretization of partial differential equations. The focus of this presentation is on the family of Krylov subspace solvers, of which the Conjugate Gradient algorithm is a typical example. In addition to an introduction to the basic principles of such methods, a large number of specific algorithms for symmetric and nonsymmetric problems are discussed.

When solving linear systems by iteration, a preconditioner is usually introduced in order to speed up convergence. In many cases, the selection of a proper preconditioner is crucial to the resulting computational performance. For this reason, this book pays special attention to different preconditioning strategies.

Although aimed at a wide audience, the presentation assumes that the reader has basic knowledge of linear algebra, and to some extent, of partial differential equations. The comprehensive bibliography in this survey is provides an entry point to the enormous amount of published research in the field of iterative methods.

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Über die Autorin bzw. den Autor

Are Magnus Bruaset

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Verlag
Taylor & Francis Ltd
Erscheinungsdatum
1995
Sprache
Englisch
ISBN 10 
0582276543
ISBN 13 
9780582276543
Einband
Taschenbuch
Anzahl der Seiten
176
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Buchpark GmbH
gpsr@buchpark.de

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Trebbin
Brandenburg
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Deutschland