| 求解一类隐线性互补问题的投影MAOR算法 |
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| 引用本文： | 伍江芹,曾金平.求解一类隐线性互补问题的投影MAOR算法[J].经济数学,2007,24(3):327-330. |
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| 作者姓名： | 伍江芹 曾金平 |
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| 作者单位： | 湖南大学数学与计量经济学院,湖南长沙,410082;湖南大学数学与计量经济学院,湖南长沙,410082;东莞理工学院软件学院,广东东莞,523808 |
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| 摘 要： | 用MAOR迭代算法求解一类L-矩阵的隐线性互补问题.证明了由此算法产生的迭代序列的聚点是隐线性互补问题的解.并且当问题中的矩阵是M-矩阵时,算法产生的迭代序列单调收敛于隐互补问题的解.
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| 关 键 词： | 隐线性互补问题 L-矩阵 M-矩阵 单调收敛 |
| 修稿时间： | 2007年4月19日 |
THE PROJECTIVE MAOR ALGORITHM FOR SOLVING AN IMPLICIT LINEAR COMPLEMENTARITY PROBLEM |
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| Wu Jiangqin,Zeng Jinping.THE PROJECTIVE MAOR ALGORITHM FOR SOLVING AN IMPLICIT LINEAR COMPLEMENTARITY PROBLEM[J].Mathematics in Economics,2007,24(3):327-330. |
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| Authors: | Wu Jiangqin Zeng Jinping |
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| Abstract: | The MAOR iterative algorithm is used to solve an implicit linear complementarity problem with L-matrix.It is shown that any accumulation point of th iteration generated by the algorithm solves the implicit linear complementarity problem.Moreover,when the matrix A involved in the problem is an M-matrix,the sequence generated by the algorithm monotonically converges to the solution. |
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| Keywords: | Implicit linear complementarity problem L-matrix M-matrix monotone convergence |
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