| 线性互补问题均衡解的存在形式与识别方法 |
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| 引用本文： | 万 中,李欢欢,朱赛花.线性互补问题均衡解的存在形式与识别方法[J].经济数学,2013,30(1):1-4. |
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| 作者姓名： | 万 中 李欢欢 朱赛花 |
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| 作者单位： | 中南大学数学与统计学院,湖南长沙,410083 |
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| 基金项目： | 国家自然科学基金项目，国家创新研究群体资助 |
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| 摘 要： | 研究了线性互补问题均衡解的存在形式与判定方法,给出了线性互补问题有解的充要条件,得到了带有几类特殊系数矩阵的线性互补问题的解的性质.在此基础上设计了求解线性互补问题均衡解的直接算法.
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| 关 键 词： | 线性互补问题 凸分解 充要条件 直接算法 |
Existent Form and Identification of Equilibrium Solution for Linear Complementarity Problems |
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| WAN Zhong,LI Huan-huan,ZHU Sai-hua.Existent Form and Identification of Equilibrium Solution for Linear Complementarity Problems[J].Mathematics in Economics,2013,30(1):1-4. |
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| Authors: | WAN Zhong LI Huan-huan ZHU Sai-hua |
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| Institution: | (School of Mathematics and Statistics,Central South University,Changsha,Hunan 410083,China) |
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| Abstract: | The existent form and identifying methods of equilibrium solution to the linear complementarity problem were considered. Some necessary and sufficient conditions were obtained for the corresponding forms of equilibrium solution to the linear complementarity problems with several types of coefficient matrices. Based on these conditions, a direct algorithm was designed to find the equilibrium solution. |
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| Keywords: | linear complementarity problem convex decomposition sufficient and necessary condition direct algorithm |
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