An acceleration of preconditioned generalized accelerated over relaxation methods for systems of linear equations

作者：Bai, Yu-Qin^*; Wang, An-Qiang

来源：International Journal of Computer Mathematics, 2015, 92(5): 1012-1024.

DOI：10.1080/00207160.2014.918965

• splitting methods
• generalized least-squares problem
• preconditioner
• GAOR method
• convergence
• 65F50
• 65F15
• 65F10

In this paper, a new type of preconditioners are proposed to accelerate the preconditioned generalized accelerated over relaxation methods presented by Zhou et al. [Preconditioned GAOR methods for solving weighted linear least squares problems, J. Comput. Appl. Math. 224 (2009), pp. 242-249] for the linear system of the generalized least-squares problem. The convergence and comparison results are obtained. The comparison results show that the convergence rates of the proposed methods are better than those of the original methods. Finally, numerical experiments are provided to confirm the results obtained in this paper.

• 出版日期2015-5-4
• 单位西北民族大学