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Full Record Details
DOI
10.5286/raltr.2009020
Persistent URL
http://purl.org/net/epubs/work/56164
Record Status
Checked
Record Id
56164
Title
An analysis of GMRES worst case convergence
Contributors
M Arioli (STFC Rutherford Appleton Lab.)
Abstract
Krylov space methods minimizing the 2-norm of the residual, such as GMRES, used in solving a linear system with an unsymmetric matrix of order n×n can present pathological cases where the convergence will be achieved only after n-1 steps. Here we will characterize the class of real matrices for which a starting point inducing this worst case convergence exists always
Organisation
CSE
,
CSE-NAG
,
STFC
Keywords
Funding Information
Related Research Object(s):
Licence Information:
Language
English (EN)
Type
Details
URI(s)
Local file(s)
Year
Report
RAL Technical Reports
RAL-TR-2009-020. STFC, 2009.
ar-2009-20.pdf
2009
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