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.
出处
《北方交通大学学报》
CSCD
北大核心
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)
关键词
最优化
扩展的垂直线性互补问题
行重排
V—P性质
optimization
extended vertical linear complementarity problem
row rearrangement
V-P property
