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矩阵分裂比较定理和单调收敛性研究
引用本文:周荣富,袁锦昀.矩阵分裂比较定理和单调收敛性研究[J].应用数学,1991(2).
作者姓名:周荣富  袁锦昀
作者单位:东南大学数力系 210018
摘    要:本文概括了线性迭代法渐近收敛速度比较和单调收敛性的研究成果,并导出了部分逆结果和TOR方法单调收敛性结果.

关 键 词:矩阵分裂  单调性  收敛性

The Study of Comparison Theorems and Monotone Convergence of Matrix Splittings
Zhou Rongfu Yuan Jinyun.The Study of Comparison Theorems and Monotone Convergence of Matrix Splittings[J].Mathematica Applicata,1991(2).
Authors:Zhou Rongfu Yuan Jinyun
Institution:Southeast University 210018
Abstract:In this paper is given a survey of the research results of the comparison theorems of asymptotic convergence rates and monotone convergence of linear iterative methods, and some inverse results of the main theorem in 11] and monotone convergence of TOR method are demonstrated.
Keywords:Matrix splitting  Monotonicity  Convergence
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