Abstract
In this paper, we aim at improvement of convergence rate of Flexible GMRES(k) method regarded as one of variants of preconditioned GMRES(k) method. For realization of this purpose, we adopt of separative type of multi-restarts Look-Back GMRES(k, m) method. In outer iteration of the proposed Flexible GMRES(k) method, multi-restarts strategy is used. On the other hand, in its inner iteration, multi inner iterations is used. Through numerical experiments, we verify effectiveness of the proposed Flexible GMRES(k, m) method.
