华东师范大学学报(自然科学版)Issue(4):26-34,9.
预条件AOR和2PPJ迭代法收敛性的注记
Note on the convergence of AOR and 2PPJ iterative methods
摘要
Abstract
This paper analyzed the convergence of preconditioned AOR and 2PPJ iterative methods when the coefficient 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.关键词
非奇异M-矩阵/H-矩阵/AOR迭代法/2PPJ迭代法/矩阵分裂Key words
nonnegative M-matrices/ H-matrices/ AOR iterative method/ 2PPJ iterative method/ matrix-splitting分类
数理科学引用本文复制引用
刘庆兵,陈果良..预条件AOR和2PPJ迭代法收敛性的注记[J].华东师范大学学报(自然科学版),2009,(4):26-34,9.基金项目
上海市科委重点项目(062112065) (062112065)
上海市重点学科建设项目 ()
华东师范大学优博基金(PHD2009) (PHD2009)