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矩阵可逆分裂的收敛性
引用本文:洪晓芬,杨志明.矩阵可逆分裂的收敛性[J].甘肃联合大学学报(自然科学版),2011,25(1).
作者姓名:洪晓芬  杨志明
作者单位:1. 甘肃联合大学,电子信息工程学院,甘肃,兰州,730000
2. 甘肃联合大学,师范学院,甘肃,兰州,730000
摘    要:文章在文献1]的基础上讨论了矩阵的非负可逆分裂、第一(二)类弱非负可逆分裂、弱可逆分裂及第一(二)类更弱可逆分裂的收敛性问题.

关 键 词:矩阵分裂  谱半径  非负矩阵  迭代方法  

Convergence of the Reversible Splittings of Matrices
HONG Xiao-fen,YANG Zhi-ming.Convergence of the Reversible Splittings of Matrices[J].Journal of Gansu Lianhe University :Natural Sciences,2011,25(1).
Authors:HONG Xiao-fen  YANG Zhi-ming
Institution:HONG Xiao-fen1,YANG Zhi-ming2(1.School of Electronic and Information Engineering,Gansu Lianhe University,Lanzhou 730000,China,2.School of Teachers,China)
Abstract:Based on literature 1],the convergence of reversible splitting on matrix A was discussed,the convergence of reversible nonnegative splitting and weak reversible splitting were also discussed.
Keywords:matrix splitting  spectral radius  perron vector  nonnegative matrix  iteration method  
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