对偶锥上广义线性互补问题的等价转化形式及误差界估计  

A Reformulation of the Generalized Linear Complementarity Problem over A Dual Polyhedral Cone and the Error Bound Estimation

作　　者：魏淑云[1] 任丽华[1] 

机构地区：[1]东营职业学院计算机系,山东东营257091

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2007年第4期436-439,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

摘　　要：在适当条件下将凸多面锥上的广义线性互补问题等价地转化为凸多面锥上的变分不等式问题,利用变分不等式的误差界,建立了凸多面锥上的广义线性互补问题的全局绝对误差界.In this paper, the estimation of the error bound for the generalized linear complementarity problem over a closed polyhedral cone （GLCP） was consider,and GLCP was equivalently converted into an affine variational inequalities problem over a closed polyhedral cone（AVIP） under suitable conditions,and then a global absolute error bound for GLCP establish as well.

关 键 词：广义线性互补问题 凸多面锥 变分不等式 全局绝对误差界 

分 类 号：O224[理学—运筹学与控制论] O241.1[理学—数学]