Deyu Sun and Guangbin Wang
Preconditioned Generalized Accelerated Overrelaxation Methods for Solving Certain Nonsingular Linear System
1419 - 1425
2014
8
11
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/10000256
https://publications.waset.org/vol/95
World Academy of Science, Engineering and Technology
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.
Open Science Index 95, 2014