洛阳师范学院学报
洛暘師範學院學報
락양사범학원학보
Journal of Luoyang Teachers College
2010年
5期
11~13
,共null页
投影ESOR迭代 对称矩阵 双边障碍问题
投影ESOR迭代 對稱矩陣 雙邊障礙問題
투영ESOR질대 대칭구진 쌍변장애문제
projection of the ESOR iterate; symmetric matrix; two-side obstacle problem
在本文中我们研究了求解双边障碍问题的ESOR迭代算法．证明了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．
在本文中我們研究瞭求解雙邊障礙問題的ESOR迭代算法．證明瞭由此算法產生的迭代序列至少存在一箇聚點，該聚點是雙邊障礙問題的解．併且，噹矩陣為非退化對稱矩陣時，該序列收斂到雙邊障礙問題的解．
재본문중아문연구료구해쌍변장애문제적ESOR질대산법．증명료유차산법산생적질대서렬지소존재일개취점，해취점시쌍변장애문제적해．병차，당구진위비퇴화대칭구진시，해서렬수렴도쌍변장애문제적해．
In this paper, ESOR algorithm for solving two-sided obstacle problem is considered. It is shown that the sequence generated by the ESOR algorithm has an accumulation point which solves the two-sided obstacle problem. Moreover, when the matrix A involved in the two-sided obstacle problem is a symmetric and non-degener- ate matrix, the sequence converges to a solution of the problems.
