On control strategy for stagnated GMRES (m)
Juan Carlos Cabral, Pedro Torres, Christian E. Schaerer · Journal of Computational Interdisciplinary Sciences · 2017
In this work, GMRES(m) method is formulated as a dynamic discrete system with feedback control and a condition for the convergence of the method is discussed.Using the proposed formulation, deflation and augmentation techniques are introduced in the context of GMRES(m) for avoiding the stagnation in the convergence process.The resulting method is tested on matrices based on real problems showing that the method overcome the stagnation problem.