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半正定系统广义非定常多分裂迭代算法
引用本文:崔艳星,王川龙.半正定系统广义非定常多分裂迭代算法[J].晋东南师范专科学校学报,2013(2):41-43.
作者姓名:崔艳星  王川龙
作者单位:[1]长治学院数学系,山西长治046011 [2]太原师范学院,山西太原030012
摘    要:文章首先给出了广义非定常多分裂算法,并且证明了在一个简洁条件下广义多分裂算法一定半范数收敛,进一步可得到该算法商收敛,该结果是对Cao2]中结论的推广。

关 键 词:多分裂  收敛  半范数收敛  商收敛

Generalized Non-stationary Multisplitting Iterative Methods for Semi-definite Linear Systems
Cui Yan-xing,Wang Chuan-long.Generalized Non-stationary Multisplitting Iterative Methods for Semi-definite Linear Systems[J].Journal of Jindongnan Teachers College,2013(2):41-43.
Authors:Cui Yan-xing  Wang Chuan-long
Institution:1.Department of Mathematics Changzhi University,Cl'langzhi Shanxi 046011; 2. Taiyuan Normal University,Taiyuan Shanxi 030012)
Abstract:This paper presents the generalized non-stationary multi-splitting algorithm. In a concise con- dition, the generalized non-stationary multi-splitting algorithm must be seminorrn convergence. Furthermore, it is quotient convergence. It is the result of 2] to Cao in the promotion of the theorem.
Keywords:multisplitting  convergence  seminorm convergence  quotient convergence
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