Deflation of Eigenvalues for Iterative Methods in Lattice QCD

Details Deflation of Eigenvalues for Iterative Methods in Lattice QCD Deflation of Eigenvalues for Iterative Methods in Lattice QCD

2003-09-15

arxiv.org/abs/hep-lat/0309068v1

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2003(machine)

Scientific paper

10.1016/S0920-5632(03)02734-8

Work on generalizing the deflated, restarted GMRES algorithm, useful in lattice studies using stochastic noise methods, is reported. We first show how the multi-mass extension of deflated GMRES can be implemented. We then give a deflated GMRES method that can be used on multiple right-hand sides of $Ax=b$ in an efficient manner. We also discuss and give numerical results on the possibilty of combining deflated GMRES for the first right hand side with a deflated BiCGStab algorithm for the subsequent right hand sides.

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