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投影AOR迭代求解双边障碍问题

Projected AOR Iterative Solution for Two-sided Obstacle Problems
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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. 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.
作者 李向阳 郭丽娜 曾垂坤
机构地区 洛阳师范学院数学科学学院
出处 《佳木斯大学学报（自然科学版）》 CAS 2007年第1期117-119,共3页 Journal of Jiamusi University：Natural Science Edition
关键词 投影AOR迭代 对称矩阵 双边障碍问题 projection of the AOR iterate symmetric matrix two- sided obstacle prob - lem
分类号 O242.26 [理学—计算数学]
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参考文献8

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佳木斯大学学报（自然科学版）
2007年 第1期

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