%0 Journal Article %A Deyu Sun and Guangbin Wang %D 2014 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 95, 2014 %T Preconditioned Generalized Accelerated Overrelaxation Methods for Solving Certain Nonsingular Linear System %U https://publications.waset.org/pdf/10000256 %V 95 %X In this paper, we present preconditioned generalized accelerated overrelaxation (GAOR) methods for solving certain nonsingular linear system. We compare the spectral radii of the iteration matrices of the preconditioned and the 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 give two numerical examples to confirm our theoretical results. %P 1419 - 1425