Preconditioning of Improved and ``Perfect'' Fermion Actions
Abstract
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.
Keywords
Cite
@article{arxiv.hep-lat/9807013,
title = {Preconditioning of Improved and ``Perfect'' Fermion Actions},
author = {W. Bietenholz and N. Eicker and A. Frommer and Th. Lippert and B. Medeke and K. Schilling and G. Weuffen},
journal= {arXiv preprint arXiv:hep-lat/9807013},
year = {2009}
}
Comments
27 pages, Latex, 17 Figures included