| 线性互补问题解的存在性 |
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| 引用本文： | 杨泰山,姜兴武,王秀玉.线性互补问题解的存在性[J].吉林大学学报(理学版),2013,51(6):1063-1067. |
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| 作者姓名： | 杨泰山 姜兴武 王秀玉 |
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| 作者单位： | 1. 吉林大学 数学学院, 长春 130012; 2. 吉林工商学院 基础部, 长春 130062;3. 长春工业大学 基础科学学院, 长春 130012 |
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| 摘 要： | 利用同伦方法对线性互补问题LCP(M,q)进行求解, 给出了半单调线性非齐次互补问题有解及其所对应的齐次互补问题LCP(M,0)只有零解的关系, 并给出了具有严格可行性时互补问题有解的一个条件.
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| 关 键 词： | 线性互补问题 同伦方法 半单调矩阵 |
| 收稿时间： | 2013-03-14 |
Existence of a Solution of the Linear Complementarity Problem |
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| YANG Tai shan,JIANG Xing wu,WANG Xiu yu.Existence of a Solution of the Linear Complementarity Problem[J].Journal of Jilin University: Sci Ed,2013,51(6):1063-1067. |
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| Authors: | YANG Tai shan JIANG Xing wu WANG Xiu yu |
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| Institution: | 1. College of Mathematics, Jilin University, Changchun 130012, China;2. Department of Foundation, Jilin Business and Technology College, Changchun
130062, China;3. School of Basic Science, Changchun University of Technology, Changchun 130012, China |
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| Abstract: | The homotopy method was used to solve the linear complementarity problem LCP(M,q), the relationship between the existence of a solution of the semimonotone nonhomogeneous complementarity problem and the uniqueness of the solution of the homogeneous complementarity problem LCP(M,0) was given. And an existence condition of a solution of the problem was also obtained when the strictly feasible condition held. |
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| Keywords: | linear complementarity problem homotopy method semimonotone matrix |
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