Overlapping restricted additive Schwarz method with damping factor for H-matrix linear complementarity problem

Abstract

In this paper, we consider an overlapping restricted additive Schwarz method (RAS) with damping factor for solving H+-matrix linear complementarity problem. Moreover, we estimate the weighted max-norm bounds for iteration errors and show that the sequence generated by the overlapping restricted additive Schwarz method (RAS) with damping factor converges to the unique solution of the problem without any restriction on the initial point. Finally, we establish monotone convergence of the proposed method under appropriate conditions.