| 解线性区间方程组的并行多分裂GAOR方法 |
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| 引用本文： | 谷同样 王能超. 解线性区间方程组的并行多分裂GAOR方法[J]. 应用数学, 1996, 9(2): 142-146 |
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| 作者姓名： | 谷同样 王能超 |
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| 作者单位： | 华中理工大学并行计算研究所 |
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| 摘 要： | 本文引入区间三角多分裂来包含集合Ｓ＝｛Ａ－１ｂ｜Ａ∈Ｅ［Ａ］，ｂ∈［ｂ］｝，给出解区间线性方程组的并行多分裂ＧＡＯＲ方法，讨论方法的收敛性、收敛速度以及其极限包含集合Ｓ的性质．
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| 关 键 词： | 线性区间方程组；区间分析；并行算法；多分裂迭代法；GAOR方法；收敛性；R＿（1－）因子 |
Parallel Multisplitting GAOR Method for Solving Linear Interval Equations |
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| Gu Tongxiang ,Wang Nengchao. Parallel Multisplitting GAOR Method for Solving Linear Interval Equations[J]. Mathematica Applicata, 1996, 9(2): 142-146 |
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| Authors: | Gu Tongxiang Wang Nengchao |
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| Abstract: | We introduce'interval triangular multisplitting to enclose the set , where ,[A],[b] denotes an interval matrix and interval vector, respectively. We give parallel multisplitting GAOR method for solving linear interval equations. This method has a natural parallelism. We investigate this method with respect to convergence,speed of convergence and quality of the resulting enclosure for S. |
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| Keywords: | Linear interval equations Interval analysis Parallel algorithm Multisplitting iterative method GAOR method Convergence R1-factor |
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