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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
Version:
Accepted Manuscript

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

Authors


McDonald, E More by this author
Pestana, J More by this author
More by this author
Department:
New College
Publisher:
Springer International Publishing Publisher's website
Volume:
116
Pages:
81-91
Series:
Lecture Notes in Computational Science and Engineering
Publication date:
2017
Acceptance date:
2016-10-30
DOI:
ISSN:
1439-7358
Pubs id:
pubs:673330
URN:
uri:1dc5e96c-1874-4025-9110-3143dcf729c0
UUID:
uuid:1dc5e96c-1874-4025-9110-3143dcf729c0
Local pid:
pubs:673330
ISBN:
978-3-319-52388-0

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