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Deflation of Eigenvalues for GMRES in Lattice QCD

2001/09/13 by Ronald B. Morgan, Walter Wilcox
Physics and Astronomy · #hep-lat

paper · pdf

published as Nucl.Phys.Proc.Suppl. 106 (2002) 1067-1069 · Lattice2001(algorithms)

arxiv created 2001/09/13 · arxiv updated 2009/11/30

Abstract

Versions of GMRES with deflation of eigenvalues are applied to lattice QCD problems. Approximate eigenvectors corresponding to the smallest eigenvalues are generated at the same time that linear equations are solved. The eigenvectors improve convergence for the linear equations, and they help solve other right-hand sides.

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