[1]陈恒新.论L_ω敛散性的新定理[J].华侨大学学报(自然科学版),1992,13(2):164-169.[doi:10.11830/ISSN.1000-5013.1992.02.0164]
　Chen Hengxin.On the New Theorem of the Convergence and Divergence of L_ω[J].Journal of Huaqiao University(Natural Science),1992,13(2):164-169.[doi:10.11830/ISSN.1000-5013.1992.02.0164]
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论L_ω敛散性的新定理()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第13卷
期数:
1992年第2期
页码:
164-169
栏目:
出版日期:
1992-04-20

文章信息/Info

Title:
On the New Theorem of the Convergence and Divergence of L_ω
作者:
陈恒新
华侨大学管理信息科学系
Author(s):
Chen Hengxin
关键词:
松弛矩阵;  收敛性;  发散性
Keywords:
relaxation matrix;  convergence;  divergence
DOI:
10.11830/ISSN.1000-5013.1992.02.0164
摘要:
本文论证了关于Jacobi矩阵B=L-U(L,U是非负阵)的逐次松弛矩阵的敛散性依赖于矩阵L+U。并给出了估计松弛矩阵之谱半径上下界的不等式。由此,还可证得对一般Jacobi矩阵B之松弛矩阵有:当|B|的谱半径小于1,则该松弛矩阵的谱半径小于1(这里松弛因子是在0和大于1的数C之间)。
Abstract:
For the successive relaxation matrix of Jacobi matrix B=L-U(L,U are nonegative matri- ces),this paper demonstrates that its convergence and divergence depend upon matrix L+U,and gives the inequalities for estimating upper and lower bounds of spectral radi

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更新日期/Last Update: 2014-03-22