| 一类单调非线性变分不等式的前向加速收缩算法 |
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| 引用本文： | 徐海文. 一类单调非线性变分不等式的前向加速收缩算法[J]. 数值计算与计算机应用, 2011, 32(4): 259-266 |
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| 作者姓名： | 徐海文 |
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| 作者单位： | 南京航空航天大学民航学院,南京210016;中国民航飞行学院计算机学院,四川广汉618307 |
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| 基金项目： | 国家科技支撑项目,中国民航飞行学院科研基金 |
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| 摘 要： | 本文通过分析PPA算法和APPA算法的思想,利用Gauss—seidel迭代算法的技术获得了单调非线性变分不等式的前向加速收缩算法,利用邻近点收缩算法统一框架的技术给出了收敛性证明．一系列的数值试验表明了前向加速收缩算法的有效性和效率性．
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| 关 键 词： | 变分不等式问题 收缩算法 邻近点收缩算法统一框架 PPA算法 APPA算法 |
A FORWARD ACCELERATED CONTRACTION METHOD FOR A CLASS OF MONOTONE NONLINEAR VARIATIONAL INEQUALITIES |
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| Xu Haiwen. A FORWARD ACCELERATED CONTRACTION METHOD FOR A CLASS OF MONOTONE NONLINEAR VARIATIONAL INEQUALITIES[J]. Journal on Numerical Methods and Computer Applications, 2011, 32(4): 259-266 |
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| Authors: | Xu Haiwen |
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| Affiliation: | Xu Haiwen (School of Civil Aviation,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China,College of Computer Science and Technology,Civil Aviation Flight University of China,Guanghan 618307,Sichuan,China) |
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| Abstract: | In this paper,we first give out the analysis of PPA method and APPA method.Second, we design a forward accelerated contraction method for a class of monotone nonlinear variational inequalities,which makes greater use of historical in formation of approximate rule.The convergence of forward accelerated contraction method is proved by the unified framework of proximal-like contraction methods.Finally,it is also worth noting that the efficiency of forward accelerated contraction method is confirmed through a s... |
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| Keywords: | Variational Inequalities Contraction Methods Unified Framework of Proximallike contraction methods Proximal Point Algorithm Approximate Proximal Point Algorithm |
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