摘要
本文将文中给出的判别超松弛(即SOR)迭代法的一个收敛性准则推广到GAOR迭代法,并且去掉了A为不可约矩阵或│a_(ii)│+u_i>0(i=1,2,…,n)这一条件。本文的结果所涉及的算法和收敛范围,均扩广并包含了文中的定理。
In this paper, The convergence criterion in the article [1] for discriminating the iteration method of overrelaxation is generalized to GAOR iterative method; and the condtion that A being an irreducible matrix or |au| + u8> 0 (i = 1, 2,… n) is removed. The results in our paper, the algorithms involved and domain of convergence investigated extend and contain the theorem in paper[1].
出处
《应用数学与计算数学学报》
1995年第1期10-17,共8页
Communication on Applied Mathematics and Computation
基金
福建省自然科学基金资助项目