| 投影SOR迭代求解双边障碍问题 |
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| 引用本文： | 张许峰,李向阳.投影SOR迭代求解双边障碍问题[J].湖南文理学院学报(自然科学版),2007,19(2):16-17. |
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| 作者姓名： | 张许峰 李向阳 |
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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;洛阳师范学院,数学科学学院,河南,洛阳,471022 |
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| 摘 要： | 为了求解双边障碍问题,将SOR迭代进行投影建立投影SOR迭代算法.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.投影迭代对于双边障碍问题的理论研究和应用具有重要意义.
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| 关 键 词： | 投影SOR迭代 对称矩阵 双边障碍问题 |
| 文章编号： | 1672-6146（2007）02-0016-02 |
| 修稿时间： | 2007-03-05 |
Projected SOR Iterative Solution for Two-sided Obstacle Problems |
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| ZHANG Xu-feng,LI Xiang-yang.Projected SOR Iterative Solution for Two-sided Obstacle Problems[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2007,19(2):16-17. |
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| Authors: | ZHANG Xu-feng LI Xiang-yang |
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| Institution: | College of Mathematics Science, Luoyang Normal University, Luoyang Henan 471022 |
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| Abstract: | To solve the two-sided obstacle problem, SOR algorithm is projected to be established projective SOR algorithm. It is shown that the sequence generated by the projective SOR algorithm has an accumulation point which solves the two-sided obstacle problem. Moreover, when the matrix involved in the two-sided obstacle problem is a symmetric and nondegenerate matrix, the sequence converg- es to a solution of the problem. Projective iterations play a leading role in the studies of the two-sided obstacle problem and its application. |
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| Keywords: | projection of the SOR iterate symmetric matrix two-sided obstacle problems |
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