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Preconditioning for nonsymmetry and time-dependence

Abstract:

For symmetric systems, rigorous convergence bounds can be obtained which depend only on the eigenvalues of the system. However for nonsymmetric systems, no generally descriptive convergence bounds are known and therefore the development of preconditioners for these problems is typically heuristic. In this paper, we describe one simple but frequently occurring example of nonsymmetric Toeplitz matrices, where we are able to guarantee rapid convergence of an appropriate iterative method. The met...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-319-52389-7_7

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Institution:
University of Oxford
Oxford college:
New College
Role:
Author
Publisher:
Springer International Publishing Publisher's website
Volume:
116
Pages:
81-91
Series:
Lecture Notes in Computational Science and Engineering
Host title:
Domain Decomposition Methods in Science and Engineering XXIII
Publication date:
2017-01-01
Acceptance date:
2016-10-30
DOI:
ISSN:
1439-7358
Source identifiers:
673330
ISBN:
9783319523880
Pubs id:
pubs:673330
UUID:
uuid:1dc5e96c-1874-4025-9110-3143dcf729c0
Local pid:
pubs:673330
Deposit date:
2017-01-27

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