Preconditioning of Improved and ``Perfect'' Fermion Actions

Details Preconditioning of Improved and ``Perfect'' Fermion Actions Preconditioning of Improved and ``Perfect'' Fermion Actions

1998-07-07

arxiv.org/abs/hep-lat/9807013v1

Comput.Phys.Commun. 119 (1999) 1-18

Physics

High Energy Physics

High Energy Physics - Lattice

27 pages, Latex, 17 Figures included

Scientific paper

10.1016/S0010-4655(98)00187-8

We construct a locally-lexicographic SSOR preconditioner to accelerate the parallel iterative solution of linear systems of equations for two improved discretizations of lattice fermions: the Sheikholeslami-Wohlert scheme where a non-constant block-diagonal term is added to the Wilson fermion matrix and renormalization group improved actions which incorporate couplings beyond nearest neighbors of the lattice fermion fields. In case (i) we find the block llssor-scheme to be more effective by a factor about 2 than odd-even preconditioned solvers in terms of convergence rates, at beta=6.0. For type (ii) actions, we show that our preconditioner accelerates the iterative solution of a linear system of hypercube fermions by a factor of 3 to 4.

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