| 一类广义隐互补问题的外梯度法 |
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| 引用本文： | 郑邦贵,殷洪友.一类广义隐互补问题的外梯度法[J].应用数学学报,2011,34(4). |
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| 作者姓名： | 郑邦贵 殷洪友 |
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| 作者单位： | 1. 南京工业大学理学院应用数学系,南京,210009
2. 南京航空航天大学理学院,南京,210016 |
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| 摘 要： | 隐互补问题在自然科学中的诸多领域有着广泛的应用.本文研究了一类广义隐互补问题.本文将外梯度法应用到这类广义隐互补问题中,研究了在伪单调的条件下算法的收敛性,并证明了算法具有R-线性收敛性.
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| 关 键 词： | 广义隐互补问题 外梯度法 R-线性收敛性 |
The Extragradient Algorithm for a Form of Generalized Implicit Complementarity Problem |
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| ZHENG BANGGUI,YIN HONGYOU.The Extragradient Algorithm for a Form of Generalized Implicit Complementarity Problem[J].Acta Mathematicae Applicatae Sinica,2011,34(4). |
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| Authors: | ZHENG BANGGUI YIN HONGYOU |
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| Institution: | ZHENG Banggui (Department of Applied Mathematics,Nanjing university of technology,Nanjing 210009) YIN HONGYOU (Department of Computational Mathematics,Nanjing university of aeronautics and astronautics,Nanjing 210016) |
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| Abstract: | Implicit complementarity problem(ICP) can be applied to many fileds of natural science.In this article,we study a form of generalized implicit complementarity problem. The extragradient method is used to solve ICP.The extragradient algorithm is built about generalized implicit complementarity problem and porve its convergence with pseudomonotone function. |
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| Keywords: | generalized implicit complementarity problem the extragradient algorithm R-linearly convergence |
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