| P混合线性互补问题的同伦方法 |
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| 引用本文： | 薛冬梅,姜舶洋,王秀玉.P混合线性互补问题的同伦方法[J].吉林大学学报(理学版),2014,52(5):933-936. |
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| 作者姓名： | 薛冬梅 姜舶洋 王秀玉 |
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| 作者单位： | 1. 吉林化工学院 理学院, 吉林 吉林 132022; 2. 北京工业大学 电子信息与控制工程学院, 北京 100022;3. 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： | 对P混合线性互补问题建立一个同伦方程,证明了同伦路径的存在性、有界性和收敛性,得到了P混合线性互补问题的可解性,从而建立了P混合线性互补问题的内点算法.
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| 关 键 词： | 混合线性互补问题 同伦方法 P矩阵 |
| 收稿时间： | 2013-10-21 |
Homotopy Method for P-Mixed Linear Complementarity Problem |
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| XUE Dongmei,JIANG Boyang,WANG Xiuyu.Homotopy Method for P-Mixed Linear Complementarity Problem[J].Journal of Jilin University: Sci Ed,2014,52(5):933-936. |
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| Authors: | XUE Dongmei JIANG Boyang WANG Xiuyu |
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| Institution: | 1. College of Sciences, Jilin Institute of Chemical Technology, Jilin 132022, Jilin Province, China;2. College of Electronic Information and Control Engineering, Beijing University of Technology,[JP2]Beijing 100022, China; 3. School of Basic Science, Changchun University of Technology, Changchun 130012, China |
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| Abstract: | A homotopy equation was constructed for the P-mixedlinear complementarity problem, the existence, boundedness and convergence of the homotopy path were proved, the solvability of P-mixed linear complementarity problem was obtained. Thus an interior point method of P-mixed linear complementarity problem has been established. |
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| Keywords: | mixed linear complementarity problem homotopy method P-matrix |
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