| 辅助问题方法求解隐互补问题 |
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| 引用本文： | 刘常丽. 辅助问题方法求解隐互补问题[J]. 泰山医学院学报, 2007, 28(5): 357-359 |
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| 作者姓名： | 刘常丽 |
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| 作者单位： | 泰山医学院信息工程学院,山东,泰安,271016 |
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| 摘 要： | 目的研究用辅助问题方法求解隐互利、问题。方法首先介绍推广的单调性的概念以及文中要用到的一些经典结论。结果利用辅助问题准则提出一种迭代算法求解隐互补问题，并证明隐互补问题与推广的变分不等式的等价性及该算法的全局收敛性。结论推广了经典互补问题的相应的结论。
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| 关 键 词： | 隐互补 变分不等式 收敛性 |
| 文章编号： | 1004-7115（2007）05-0357-03 |
| 收稿时间： | 2007-03-27 |
| 修稿时间： | 2007-03-27 |
Auxiliary method for solving implicit complementarity problems |
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| LIU Chang-li. Auxiliary method for solving implicit complementarity problems[J]. Journal of Taishan Medical College, 2007, 28(5): 357-359 |
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| Authors: | LIU Chang-li |
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| Abstract: | Objective:To study auxiliary problem method for solving implicit complementarity problems.Methods:The generalized momotonicity definition and some classical conclusions were first introduced.Results:A class of iterative method built on the auxiliary problem principle for solving implicit complementarity problem were suggested and analyzed,and the equivalence of implicit complementarity problem and generalized variational inequalities and the convergence of this method were proved.Conclusion:The corresponding conclusions of the classical complementarity problem are generalized. |
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| Keywords: | implicit complementarity problem variational inequality convergence |
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