| P0线性互补问题的新同伦方法 |
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| 引用本文： | 姜兴武,王秀玉.P0线性互补问题的新同伦方法[J].吉林大学学报(理学版),2013,51(5):807-810. |
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| 作者姓名： | 姜兴武 王秀玉 |
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| 作者单位： | 1. 吉林工商学院 基础部, 长春 130062; 2. 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(批准号:10771020);吉林省自然科学基金(批准号:201215128;20101597) |
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| 摘 要： | 通过构造P0线性互补问题的新同伦方程, 证明了当齐次线性互补问题只有零解时, 非齐次线性互补问题同伦路径的存在性、 有界性和收敛性, 从而获得了P0线性互补问题可解的新条件.
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| 关 键 词： | 线性互补问题 同伦方法 P矩阵 P0矩阵 |
| 收稿时间： | 2012-12-10 |
New Homotopy Method for the P0 Linear Complementarity Problem |
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| JIANG Xing-wu;WANG Xiu-yu.New Homotopy Method for the P0 Linear Complementarity Problem[J].Journal of Jilin University: Sci Ed,2013,51(5):807-810. |
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| Authors: | JIANG Xing-wu;WANG Xiu-yu |
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| Institution: | 1. Department of Basic Course, Jilin Business and Technology College, Changchun 130062, China;2. School of Basic Science, Changchun University of Technology, Changchun 130012, China |
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| Abstract: | We constructed a new homotopy method for the P0 linear complementarity problem and proved the existence, boundedness and convergence of the homotopy path for the homogeneous complementarity problem are given when the homogeneous complementarity problem has only zero solution so as to obtain a new condition of the solvability of the P0 linear complementarity problem. |
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| Keywords: | linear complementarity problem homotopy method P matrix P0 matrix |
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