[1]陈恒新.严格对角占优矩阵的SOR法收敛性和误差估计式[J].华侨大学学报(自然科学版),1991,12(2):141-146.[doi:10.11830/ISSN.1000-5013.1991.02.0141]
　Chen Hengxin.SOR-method Convergence and Error Estimate Formulain Strictly Diagonally Dominant Matrix[J].Journal of Huaqiao University(Natural Science),1991,12(2):141-146.[doi:10.11830/ISSN.1000-5013.1991.02.0141]
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严格对角占优矩阵的SOR法收敛性和误差估计式()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第12卷
期数:
1991年第2期
页码:
141-146
栏目:
出版日期:
1991-04-20

文章信息/Info

Title:
SOR-method Convergence and Error Estimate Formulain Strictly Diagonally Dominant Matrix
作者:
陈恒新
华侨大学管理信息科学系
Author(s):
Chen Hengxin
关键词:
对角占优矩阵;  收敛;  误差估计;  SOR 法
Keywords:
diagonally dominant matrix;  conergence;  error estimate;  successive over relaxation method
DOI:
10.11830/ISSN.1000-5013.1991.02.0141
摘要:
本文给出了严格对角占优矩阵 A 的 SOR 法(0<ω1)收敛性和误差估计式,其误差估计常数 hω仅依赖于矩阵 A 的元素和松弛因子ω,从而避免了算 SOR 法迭代矩阵 Lω=(D+ωL)-1((1-ω)D-ωU)的麻烦,因此具有较好的实用价值.
Abstract:
This paper gives the SOR-method(0<ω1)convergence and error estimate formula in strictly diagonally dominant matrix.The error esti- mate constant hω,depends only on the element of matrix A and the relaxation factor ω,and thus avoids trouble in computi

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更新日期/Last Update: 2014-03-22