摘要
本文推广了解线性方程组的AOR迭代法,给出了块AOR迭代法(BAOR迭代法).文中引进了块M-矩阵,块H-矩阵,块严格对角优势矩阵,块Hermite正定矩阵,块相容次序矩阵和广义块相容次序矩阵等概念.在线性方程组的系数矩阵分别具有上述性质的假设下,讨论了BAOR迭代法的敛散性.
In this paper, the block accelerated overrelaxation (BAOR) methods are proposed, which generalized the AOR iterative methods for the solution of linear systems. The convergence of BAOR methods are investigated. Much attention is given to linear systems whose coefficient matrices are (block) M-matrices, (block) H-matries, (block) strictly diagonally dominant matrices, (block) Hermitian positive definite matrices, block consistently ordered matrices and generalized block consistently ordered matrices, respectively.
出处
《应用数学》
CSCD
北大核心
1993年第1期39-45,共7页
Mathematica Applicata
关键词
线性方程组
块AOR迭代法
收敛性
Linear systems
Block accelerated overrelaxation (BAOR) method
Convergence
