[1]陈恒新.弱对角占优矩阵的Jacobi和Gauss-Seidel及SOR迭代法收敛准则[J].华侨大学学报(自然科学版),1989,10(3):229-238.[doi:10.11830/ISSN.1000-5013.1989.03.0229]
　Chen Hengxin.Convergence Criteria of Jacobi, Gauss-Seidel,and SOR Iteration Methods in Weak Diagonally Dominant Matrix[J].Journal of Huaqiao University(Natural Science),1989,10(3):229-238.[doi:10.11830/ISSN.1000-5013.1989.03.0229]
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弱对角占优矩阵的Jacobi和Gauss-Seidel及SOR迭代法收敛准则()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第10卷
期数:
1989年第3期
页码:
229-238
栏目:
出版日期:
1989-07-20

文章信息/Info

Title:
Convergence Criteria of Jacobi, Gauss-Seidel,and SOR Iteration Methods in Weak Diagonally Dominant Matrix
作者:
陈恒新
华侨大学应用数学系
Author(s):
Chen Hengxin
关键词:
矩阵;  迭代法;  收敛;  弱对角占优矩阵
Keywords:
matrices;  iteration method;  convergence;  weak diagonally dominant matrix
DOI:
10.11830/ISSN.1000-5013.1989.03.0229
摘要:
本文提出了一些新的、易于检验的迭代法收敛判别准则。特别是放宽了Jacobi,Gauss-Seidel和SOR迭代法收敛的不可约弱对角占优矩阵这一条件。
Abstract:
This paper poses some new and easy to test convergence criteria of itera- tion methods. It extends especially the condition of unreduced weak diagonally dominant matrix for the convergence of Jacobi, Gauss-Seidel, and SOR iteration methods.

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更新日期/Last Update: 2014-03-22