Krylov subspace methods and the sign function: multishifts and deflation in the non-Hermitian case

Details Krylov subspace methods and the sign function: multishifts and deflation in the non-Hermitian case Krylov subspace methods and the sign function: multishifts and deflation in the non-Hermitian case

2009-10-15

arxiv.org/abs/0910.2927v1

PoS LAT2009:043,2009

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 2 figures, proceedings of the XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Bejing, China

Scientific paper

Rational approximations of the matrix sign function lead to multishift methods. For non-Hermitian matrices long recurrences can cause storage problems, which can be circumvented with restarts. Together with deflation we obtain efficient iterative methods, as we show in numerical experiments for the overlap Dirac operator at non-vanishing quark chemical potential for lattices up to size 10^4.

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