A parallelizable SSOR preconditioner scheme for Krylov subspace iterat
ive solvers for lattice QCD applications involving Wilson fermions is
presented. In actual Hybrid Monte Carlo and quark propagator calculati
ons it helps reduce the number of iterations by a factor of 2 compared
to conventional odd-even preconditioning. This corresponds to a gain
in cpu-time of 30%-70% over odd-even preconditioning.