When solving a system of linear equations with the restarted GMRES method, a fixed restart parameter is typically chosen. We present numerical experiments that demonstrate the beneficial effects of changing the value of the restart parameter in each restart cycle on the total time to solution. We propose a simple strategy for varying the restart parameter and provide some heuristic explanations for its effectiveness based on analysis of the symmetric case.
Baker et al. proposed in REF a simple strategy and provide some heuristic explanation for its effectiveness.
A simple strategy for varying the restart parameter in GMRES ( m )
Journal of Computational and Applied Mathematics
Mathematics