摘要
分析了系数矩阵是M-矩阵时预条件AOR和2PPJ迭代法的收敛性,指出了已有结果的一些错误并给出了正确的收敛定理.同时,利用H-分裂理论,讨论了系数矩阵是H-矩阵时预条件AOR的收敛性并给出了参数的收敛区间.
This paper analyzed the iterative methods when the coefficient convergence of preconditioned AOR and 2PPJ matrix is an M-matrix, and pointed out some errors of known results and established correct convergence theorems. Meanwhile, by the H-splitting theory, the convergence of the preconditioned AOR iterative method for the case of the coefficient matrix being an H-matrix was discussed and the convergence interval of parameters was given.
出处
《华东师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第4期26-34,共9页
Journal of East China Normal University(Natural Science)
基金
上海市科委重点项目(062112065)
上海市重点学科建设项目
华东师范大学优博基金(PHD2009)
