| 投影AOR迭代求解双边障碍问题 |
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| 引用本文： | 李向阳,郭丽娜,曾垂坤.投影AOR迭代求解双边障碍问题[J].佳木斯大学学报,2007,25(1):117-119. |
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| 作者姓名： | 李向阳 郭丽娜 曾垂坤 |
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| 作者单位： | 洛阳师范学院数学科学学院 河南洛阳471022 |
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| 摘 要： | 研究了求解双边障碍问题的AOR迭代算法.证明由此算法产生的迭代序列至少存在一个聚点,该聚点是双边障碍问题的解,并且当矩阵为非退化对称矩阵时,该序列收敛到双边障碍问题的解.
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| 关 键 词： | 投影AOR迭代 对称矩阵 双边障碍问题 投影 迭代求解 双边障碍问题 Problems Obstacle 序列收敛 对称矩阵 非退化 聚点 存在 迭代序列 迭代算法 研究 |
| 文章编号： | 1008-1402（2007）01-0107-03 |
| 收稿时间： | 2006-10-19 |
| 修稿时间： | 2006年10月19 |
Projected AOR Iterative Solution for Two-sided Obstacle Problems |
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| LI Xiang-yang,GUO Li-na,ZENG Chui-kun.Projected AOR Iterative Solution for Two-sided Obstacle Problems[J].Journal of Jiamusi University(Natural Science Edition),2007,25(1):117-119. |
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| Authors: | LI Xiang-yang GUO Li-na ZENG Chui-kun |
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| Institution: | College of Mathematics Science ,Luoyang Normal University,Lnoyang 471022, China |
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| Abstract: | In this paper,AOR algorithm for solving two-sided obstacle problems is considered.It is shown that the sequence generated by the AOR algorithm has an accumulation point which solves the two-sided obstacle problem.Moreover,when the matrix M involved in the two-sided obstacle problem is symmetric and non-degenerate,the sequence converges to a solution of the problem. |
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| Keywords: | projection of the AOR iterate symmetric matrix two-sided obstacle prob-lem |
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