TY  - JOUR
AU  - Fischer, S.
AU  - Frommer, A.
AU  - Glässner, U.
AU  - Lippert, Th.
AU  - Ritzenhöfer, G.
AU  - Schilling, K.
TI  - A parallel SSOR preconditioner for lattice QCD
JO  - Computer physics communications
VL  - 98
IS  - 1-2
SN  - 0010-4655
CY  - Amsterdam
PB  - North Holland Publ. Co.
M1  - FZJ-2019-01077
SP  - 20 - 34
PY  - 1996
AB  - We present a parallelizable SSOR preconditioning scheme for Krylov subspace iterative solvers which proves to be efficient in lattice QCD applications involving Wilson fermions. Our preconditioner is based on a locally lexicographic ordering of the lattice points. In actual Hybrid Monte Carlo applications with the bi-conjugate gradient stabilized method BiCGstab, we achieve a gain factor of about 2 in the number of iterations compared to conventional odd-even preconditioning. Whether this translates into similar reductions in run time will depend on the parallel computer in use. We discuss implementation issues using the ‘Eisenstat-trick’ and machine specific advantages of the method for the APE100/Quadrics parallel computer. In a full QCD simulation on a 512-processor Quadrics QH4 we find a gain in cpu-time of a factor of 1.7 over odd-even preconditioning for a 24^3 × 40 lattice.
LB  - PUB:(DE-HGF)16
DO  - DOI:10.1016/0010-4655(96)00089-6
UR  - https://juser.fz-juelich.de/record/860302
ER  -