| 求解线性不等式组的一个统一算法 |
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| 引用本文： | 张艺. 求解线性不等式组的一个统一算法[J]. 浙江大学学报(理学版), 1995, 22(4): 359-364 |
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| 作者姓名： | 张艺 |
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| 作者单位： | 杭州大学数学与信息科学系 |
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| 摘 要： | 本文给出了求解线性不等式组的一个统一算法，此算法包含了松弛方法、Cimmo-型方法:Richardson-型方法、同时投影方法和替代约束方法，同时也讨论了这一算法的分组顺序迭代和平行迭代的实现.
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| 关 键 词： | 线性不等式 迭代 Fejer－单调 线性规划 |
An Unified Method for Solving Linear Inequalities |
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| Zhang Yi. An Unified Method for Solving Linear Inequalities[J]. Journal of Zhejiang University(Sciences Edition), 1995, 22(4): 359-364 |
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| Authors: | Zhang Yi |
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| Affiliation: | Department of Mathematics and Information Sciences |
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| Abstract: | In this paper, we propose an unified method for solving linear inequalities, which includes the relaxation method, Cimmo-type method, Richardson-type method, simultaneous projections method and surrogate constraints method. Both sequential and parallel implementations are also discussed. |
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| Keywords: | linear inequalities iterative method Fejer-monotone sequential iteration parallel iteration |
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