On convergence of the generalized AOR method for linear systems with diagonally dominant coefficient matrices
On convergence of the generalized AOR method for linear systems with diagonally dominant coefficient matrices
复制标题
DOI：
10.1016/j.amc.2005.09.051
复制
发表时间：
2006-05
期刊：
影响因子：
--
通讯作者：
M. Darvishi;P. Hessari
中科院分区：
文献类型：
--
作者：
M. Darvishi;P. Hessari
本文得到了广义加速超松弛迭代法迭代矩阵ℓω，r的谱半径的界。我们考虑一个线性系统Hy=f，其中H是n×n对角占优实数矩阵，f是已知值的n实数向量，y是未知变量的n实数向量。给出了GAOR方法收敛的充分条件。
In this paper, we obtain bounds for the spectral radius of the matrix ℓω,r, which is the iterative matrix of generalized accelerated overrelaxation (GAOR) iterative method. We consider a linear system Hy=f, where H is an n×n diagonally dominant real matrix, f is an n-real vector of known values and y is an n-real vector of unknown variables. Sufficient conditions for the convergence of GAOR method will be presented.