关于扩展的垂直线性互补问题的V-P性质  

On V-P Property of the Extended Vertical Linear Complementarity Problem

作　　者：张超[1] 修乃华[1] 

机构地区：[1]北京交通大学理学院,北京100044

出　　处：《北方交通大学学报》2003年第6期86-91,共6页Journal of Northern Jiaotong University

基　　金：国家自然科学基金资助项目(10271002);北方交通大学校基金资助课题(2002SM056)

摘　　要：进一步研究扩展的垂直线性互补问题,即将线性互补问题中的P性质在扩展的垂直线性互补问题中推广为V P性质.正如P性质是线性互补问题有唯一解的充要条件,V P性质是扩展的垂直线性互补问题有唯一解的充要条件.通过引入行表示和行重排的思想,给出了扩展的垂直线性互补问题的V P性质的3个新的等价特征结果.The extended vertical linear complimentarity problem has been further studied in this paper. We extend P_property in the linear complementarity problem to V_P property in the extended vertical linear complementarity problem. And the extended vertical linear complementarity problem has an unique solution if and only if it pocesses V_P property which is a counterpart of P_property in the linear complementarity problem. By introducing the thoughts of row representation and row rearrangement, we eventually give three new equivalent characteristics of V_P property of the extended vertical linear complementarity problem.

关 键 词：最优化 扩展的垂直线性互补问题 行重排 V—P性质 

分 类 号：O177.91[理学—数学]