| 解广义水平线性互补问题的组合同伦方法 |
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| 引用本文： | 徐俊彦,苗壮,刘庆怀. 解广义水平线性互补问题的组合同伦方法[J]. 吉林大学学报(理学版), 2012, 50(4): 647-653 |
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| 作者姓名： | 徐俊彦 苗壮 刘庆怀 |
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| 作者单位： | 长春工业大学 基础科学学院, 长春 130012 |
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| 基金项目： | 国家自然科学基金，吉林省自然科学基金 |
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| 摘 要： | 摘要: 给出了求解广义水平线性互补问题EHLCP(A,q)的组合同伦方法, 该方法初始点的选取只要求不可行内点即可. 构造了求解广义水平线性互补问题EHLCP(A,q)的组合同伦方程, 并在一定条件下, 证明了同伦路径的存在性及所给算法的全局收敛性. 数值结果表明, 该算法行之有效
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| 关 键 词： | 广义水平线性互补问题； 组合同伦方法； 全局收敛性 |
| 收稿时间： | 2011-09-19 |
Combined Homotopy Method for Solving Extended Horizontal Linear Complementarity Problem |
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| XU Jun-yan , MIAO Zhuang , LIU Qing-huai. Combined Homotopy Method for Solving Extended Horizontal Linear Complementarity Problem[J]. Journal of Jilin University: Sci Ed, 2012, 50(4): 647-653 |
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| Authors: | XU Jun-yan MIAO Zhuang LIU Qing-huai |
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| Affiliation: | School of Basic Science, Changchun University of Technology, Changchun 130012, China |
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| Abstract: | A global convergence combined homotopy method for solving the extended horizontal linear complementarity problem was introduced.We gave the combined homotopy equation and proved in details the existence of the smooth path from almost any interior initial point to a solution of EHLCP(A,q).Numerical results were presented to show the effectiveness of this method. |
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| Keywords: | extended horizontal linear complementarity problem combined homotopy method global convergence |
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