中文摘要：

本文研究了求解双松弛投影迭代算法求解反双障碍问题,并证明了此算法所产生的迭代点列至少存在一个聚点,该聚点即是反双障碍问题的解.而且,当矩阵为非退化的对称矩阵时,该点列收敛到反双障碍问题的解.

英文摘要：

In this paper, projective iterative algorithm for solving the reversed two-sided obstacle problem is considered. It is shown that the sequence generated by the projective iterative algorithm has an accumulation point which solves the reversed two-sided obstacle problem. Moreover, when the matrix involved in the reversed two-si- ded obstacle problem is a symmetric and non-degenerate matrix, the sequence converges to a solution of the prob- lem.