摘要
本文导出 GAOR 迭代矩阵谱半径的表达式,给出了在 L 矩阵情况下 GAOR 与 GSOR 迭代矩阵谱半径之间的关系,并在系数矩阵为 L 矩阵,H 矩阵,Hermitian 正定矩阵,严格对角占优矩阵及不可约对角占优矩阵的条件下,讨论了 GAOR 迭代的收敛性,进一步扩充了文[2]、[3]的结果.
In 1978, A. Hadjidimos[1] proposed an iterative method of solving system of linear equation—Accelerated Overrelaxation Method. Its convergence under vorious coefficient matrices discussed by A. Hadjidimos[1] and M. M. Martins [3] and chen pei-xian[2]. In this paper, we consider the coefficient matrices are general, symmetric positive deffinite and M-matrices and further discuss their convergence and extend their results.
出处
《华侨大学学报（自然科学版）》
CAS
1990年第1期1-7,共7页
Journal of Huaqiao University(Natural Science)
关键词
线性方程组
GAOR法
迭代法
收敛
convergence
iteration method
spectral radius
generalized accelerated overrelaxation method
