[1]曾文平.关于解大线性系统的推广的双参数松弛法的收敛性[J].华侨大学学报(自然科学版),1986,7(4):371-380.[doi:10.11830/ISSN.1000-5013.1986.04.0371]
　Zeng Wenping.On the Convergence of Some Extrapolated Two-Paramater Overrelaxation Methods for Numerical Solution of Large Linear Systems[J].Journal of Huaqiao University(Natural Science),1986,7(4):371-380.[doi:10.11830/ISSN.1000-5013.1986.04.0371]
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关于解大线性系统的推广的双参数松弛法的收敛性()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第7卷
期数:
1986年第4期
页码:
371-380
栏目:
出版日期:
1986-10-20

文章信息/Info

Title:
On the Convergence of Some Extrapolated Two-Paramater Overrelaxation Methods for Numerical Solution of Large Linear Systems
作者:
曾文平
华侨大学应用数学系
Author(s):
Zeng Wenping
关键词:
线性系统;  收敛性;  双参数;  迭代法;  系数矩阵;  正定矩阵;  严格对角占优;  松弛法;  不可约;  线性方程组
DOI:
10.11830/ISSN.1000-5013.1986.04.0371
摘要:
本文应用Evans~[1]的预处理技巧,定义了某些解大线性系统AX=b的推广的双参数松弛法(简称为ETOR方法)。Jacobi、Gauss-Seidel、SOR、SSOR、AOR和TOR~[2]迭代法均可作为其特例。然后,当系数矩阵具有特殊性质:例如Hermite正定,H-及L-矩阵、不可约弱对角占优…等,对所考虑的迭代法,建立了某些收敛定理。
Abstract:
This paper applies the preconditioning tochniques introduced by Evans and defines some extrapolated versions of the two parameter overrelaxation methods (Called ETOR method )for numerical solution of large linear System AX=b: The Jacobi method, the Gauss—

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更新日期/Last Update: 2014-03-22