Date of Award
Fall 2013
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics
First Advisor
Ahmed Sameh
Second Advisor
Jianlin Xia
Committee Chair
Ahmed Sameh
Committee Member 1
Jianlin Xia
Committee Member 2
Zhiqiang Cai
Committee Member 3
Bradley Lucier
Abstract
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.
Recommended Citation
Imberti, David Michael, "Methods For Increasing Domains Of Convergence In Iterative Linear System Solvers" (2013). Open Access Dissertations. 127.
https://docs.lib.purdue.edu/open_access_dissertations/127
