Some results on preconditioned GAOR methods

摘要

In this paper, we present preconditioned generalized accelerated overrelaxation methods. We compare the spectral radii of the iteration matrices of the preconditioned and original methods. The comparison results show that the preconditioned GAOR methods converge faster than the GAOR method whenever the GAOR method is convergent. Finally, we present two numerical examples to confirm our theoretical results.