| 随机P矩阵和随机P0矩阵线性互补问题 |
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| 引用本文： | 李向利,刘红卫,黄亚魁.随机P矩阵和随机P0矩阵线性互补问题[J].系统科学与数学,2011,31(1):123-128. |
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| 作者姓名： | 李向利 刘红卫 黄亚魁 |
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| 作者单位： | 西安电子科技大学数学系,西安,710071 |
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| 基金项目： | 国家自然科学基金(F010406)资助课题 |
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| 摘 要： | 定义了随机P矩阵和随机P0矩阵,给出了矩阵为随机P矩阵或随机P0矩阵的充要条件.研究了随机线性互补问题(SLCP)的矩阵为随机P矩阵时,期望残差方法(ERM)解集的有界性.得到了期望矩阵为P矩阵时,(ERM)解集非空有界.并且研究离散情形(ERM)与期望值方法(EV)解的关系,给出了(ERM)解唯一的条件.
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| 关 键 词： | 随机线性互补问题 随机P矩阵 期望残差(ERM) 随机P0矩阵 |
STOCHASTIC P MATRIX AND P_0 MATRIX LINEAR COMPLEMENTARITY PROBLEM |
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| LI Xiangli,LIU Hongwei,HUANG Yakui.STOCHASTIC P MATRIX AND P_0 MATRIX LINEAR COMPLEMENTARITY PROBLEM[J].Journal of Systems Science and Mathematical Sciences,2011,31(1):123-128. |
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| Authors: | LI Xiangli LIU Hongwei HUANG Yakui |
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| Institution: | LI Xiangli LIU Hongwei HUANG Yakui (Department of Applied Mathematics,Xidian University,Xi'an 710071) |
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| Abstract: | The paper is concerned with the expected residual minimization formulation (ERM) of the stochastic P matrix linear complementarity problem.It is shown that the expected residual minimization formulation of this problem has a nonempty and bounded solution set when the involving matrix is a stochastic P matrix.The definition and some properties of a stochastic P_0 matrix are given.Moreover,we consider the discrete case and give a condition for the solution set of the ERM problem to be singleton. |
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| Keywords: | Stochastic linear complementarity problem stochastic P matrix expected residual minimization formulation stochastic P_0 matrix |
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