[1]陈恒新.MPSD迭代法的敛散性定理[J].华侨大学学报(自然科学版),2005,26(2):121-124.[doi:10.3969/j.issn.1000-5013.2005.02.003]
　Chen Hengxin.Convergene and Divergence Theorems of MPSD Iterative Method[J].Journal of Huaqiao University(Natural Science),2005,26(2):121-124.[doi:10.3969/j.issn.1000-5013.2005.02.003]
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MPSD迭代法的敛散性定理()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第26卷
期数:
2005年第2期
页码:
121-124
栏目:
出版日期:
2005-04-20

文章信息/Info

Title:
Convergene and Divergence Theorems of MPSD Iterative Method
文章编号:
1000-5013(2005)02-0121-04
作者:
陈恒新
华侨大学数学系 福建泉州362021
Author(s):
Chen Hengxin
Department of Mathematics, Huaqiao University, 362021, Quanzhou, China
关键词:
线性方程组;  MPSD迭代法;  收敛性;  发散性
Keywords:
linear equations;  MPSD iterative method;  convergence;  divergence
分类号:
O241.6
DOI:
10.3969/j.issn.1000-5013.2005.02.003
文献标志码:
A
摘要:
给出一些易于检验的MPSD迭代法的敛散性定理.利用这些定理,能较容易地判别解线性方程组Ax=c的MPSD迭代法的敛散性.
Abstract:
Some convergence and divergence theorems of MPSD iterative method are given here. These theorems can be easily tested. By applying them, convergence and divergence of MPAD iterative method suitable for solving linear equations Ax=c can be fairly easily discriminated.

参考文献/References:

[1] 陈恒新. MPSD迭代法和Jacobi迭代法的敛散关系 [J]. 应用数学与计算数学学报, 2000(1):1-8.doi:10.3969/j.issn.1006-6330.2000.01.001.
[2] 瓦格. 矩阵迭代分析 [M]. 上海:上海科学技术出版社, 1966.57-125.
[3] 胡家赣. 线性代数方程组的迭代解法 [M]. 北京:科学出版社, 1997.11-24.

相似文献/References:

[1]陈恒新.MPSD迭代法的收敛性定理[J].华侨大学学报(自然科学版),1995,16(1):1.[doi:10.11830/ISSN.1000-5013.1995.01.0001]
　Chen Hengxin.Convergence Theorem of MPSD Iteration Method[J].Journal of Huaqiao University(Natural Science),1995,16(2):1.[doi:10.11830/ISSN.1000-5013.1995.01.0001]
[2]曾文平.解线性方程组的SGAOR方法及其应用[J].华侨大学学报(自然科学版),1995,16(3):250.[doi:10.11830/ISSN.1000-5013.1995.03.0250]
　Zeng Wenping.Symmetric Generalized Accelerated Overrelaxation as a Method for Solving Linear Equation and Its Application[J].Journal of Huaqiao University(Natural Science),1995,16(2):250.[doi:10.11830/ISSN.1000-5013.1995.03.0250]
[3]陈恒新.MPSD迭代法的收敛性定理[J].华侨大学学报(自然科学版),2010,31(6):706.[doi:10.11830/ISSN.1000-5013.2010.06.0706]
　Chen Hengxin.Convergence Theorem of MPSD Iteration Method[J].Journal of Huaqiao University(Natural Science),2010,31(2):706.[doi:10.11830/ISSN.1000-5013.2010.06.0706]

备注/Memo

备注/Memo:
国务院侨务办公室科研基金资助项目(03QZR8)
更新日期/Last Update: 2014-03-23