supported by State Key Laboratory of Scientific/Engineering Computing,Chinese Academy of Sciences;The National Key Basic Research Program of China (973 program) under Grant 2005CB321701;The National Natural Science Foundation (No. 10771168);The Natural Science and Technology Development Plan Research Project of Shaanxi Province (No. 2008K01-33);The Special Plan Research Project of Shaanxi Education Department (No. 09JK716),P.R.China
The generalized successive overrelaxation (GSOR) method was presented and studied by Bai, Parlett and Wang [Numer. Math. 102(2005), pp.1-38] for solving the augmented system of linear equations, and the optimal it...