The variable HSS iteration based on the bacterial foraging optimisation algorithm

Abstract

In the Hermitian and skew-Hermitian splitting HSS iteration method, the determination of the optimal parameter is a tough task when solving a large sparse non-Hermitian positive definite linear systems. In this paper, we present the variable HSS iteration with the non-fixed positive constant. For obtaining the approximate optimal parameters of this method, we solve the minimising the optimisation model based on the bacterial foraging optimisation BFO algorithm. Numerical experiments have shown that the new strategy is feasible and effective than the HSS iteration method.