| E0互补问题的变形凝聚同伦算法 |
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| 引用本文： | 王秀玉,姜兴武,李琳.E0互补问题的变形凝聚同伦算法[J].吉林大学学报(理学版),2013,51(1):41-46. |
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| 作者姓名： | 王秀玉 姜兴武 李琳 |
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| 作者单位： | 1. 长春工业大学 基础科学学院, 长春 130012,2. 吉林工商学院 基础部, 长春 130062 |
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| 基金项目： | 国家自然科学基金(批准号:10771020);吉林省自然科学基金(批准号:201215128;20101597) |
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| 摘 要： | 利用变形凝聚函数构造同伦方程, 给出了同伦路径的存在性、 有界性及收敛性的构造性证明, 并利用数值算例验证了变形凝聚同伦算法求解互补问题可行、 有效.
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| 关 键 词： | 互补问题 凝聚函数 同伦算法 E0映射 |
| 收稿时间： | 2012-05-28 |
Aggregate Deformation Homotopy Method for E0 Complementarity Problems |
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| WANG Xiu-yu,JIANG Xing-wu,LI Lin.Aggregate Deformation Homotopy Method for E0 Complementarity Problems[J].Journal of Jilin University: Sci Ed,2013,51(1):41-46. |
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| Authors: | WANG Xiu-yu JIANG Xing-wu LI Lin |
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| Institution: | 1. School of Basic Science, Changchun University of Technology, Changchun 130012, China;2. Department of Foundation, Jilin Business and Technology College, Changchun 130062, China |
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| Abstract: | At first, the definition and the properties of an aggregate deformation function were given. Then the homotopy equation was constructedby using aggregate deformation function, with the constructive proof of the existence, boundedness and convergence of the homotopy path given. At last, numerical examples were given to show the effectiveness and the feasibility of this method. |
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| Keywords: | complementarity problem aggregate function homotopy method E0mapping |
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