The Induced Dimension Reduction Method Applied to Convection-Diffusion-Reaction Problems

Discretization of (linearized) convection-diusion-reaction problems yields<br/>a large and sparse non symmetric linear system of equations,<br/>Ax = b: (1)<br/>In this work, we compare the computational behavior of the Induced Dimension<br/>Reduction method (IDR(s)) [10], with other short-recurrences Krylov methods,<br/>specically the Bi-Conjugate Gradient Method (Bi-CG) [1], restarted Generalized<br/>Minimal Residual (GMRES(m)) [4], and Bi-Conjugate Gradient Stabilized method<br/>(Bi-CGSTAB) [11].<br/

SSOR preconditioning in simulations of the QCD Schr\"odinger functional

We report on a parallelized implementation of SSOR preconditioning for O(a) improved lattice QCD with Schr\"odinger functional boundary conditions. Numerical simulations in the quenched approximation at parameters in the light quark mass region demonstrate that a performance gain of a factor $\sim$ 1.5 over even-odd preconditioning can be achieved.Comment: 15 pages, latex2e, 4 Postscript figures, uses packages elsart and epsfi