Dissertation/Thesis Abstract

Methods for increasing domains of convergence in iterative linear system solvers
by Imberti, David M., Ph.D., Purdue University, 2013, 94; 3613148
Abstract (Summary)

In this thesis, we introduce and improve various methods for increasing the domains of convergence for iterative linear system solvers. We rely on the following three approaches: making the iteration adaptive, or nesting an inner iteration inside of a previously determined outer iteration; using deflation and projections to manipulate the spectra inherent to the iteration; and/or focusing on reordering schemes. We will analyze a specific combination of these three strategies. In particular, we propose to examine the influence of nesting a Flexible Generalized Minimum Residual algorithm together with an inner Recursive Projection Method using a banded preconditioner resulting from the Fiedler reordering.

Indexing (document details)
Advisor: Sameh, Ahmed, Xia, Jianlin
Commitee: Cai, Zhiqiang, Lucier, Bradley, Sameh, Ahmed, Xia, Jianlin
School: Purdue University
Department: Mathematics
School Location: United States -- Indiana
Source: DAI-B 75/06(E), Dissertation Abstracts International
Source Type: DISSERTATION
Subjects: Mathematics, Computer science
Keywords: Fiedler, Flexible generalized minimum residual algorithm, Nested convergence, Recursive projection method, generalized minimum residual algorithm
Publication Number: 3613148
ISBN: 9781303752742
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