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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
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
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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