P_0水平线性互补问题解的存在性  

Existence of a Solution of P_0 Horizonal Linear Complementarity Problem

作　　者：姜兴武[1] 王明明[2] 王秀玉[3] 

机构地区：[1]吉林工商学院基础部,长春130507 [2]空军航空大学计算机教研室,长春130022 [3]长春工业大学基础科学学院,长春130012

出　　处：《吉林大学学报（理学版）》2015年第4期671-674,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:51278065);吉林省自然科学基金(批准号:201215128;20101597)

摘　　要：利用互补问题的等价条件对P0水平线性互补问题构造例外族,获得了水平线性互补问题有解的一个择一性定理,并用该择一性定理给出了P0水平互补问题在Mx+Ny=0,x≥0,y≥0,xTy=0只有零解的条件下是可解的.An exceptional family of elements were constructed for the P0 horizonal linear complementarity problem with the equivalent formula of the complementarity problem,an alternative theorem of P0-horizonal linear complementarity problem with a solution was established,and the solvability of it under the condition of Mx＋Ny=0,x≥0,y≥0,xTy=0has unique zero solution was obtained by using this alternative theorem.

关 键 词：水平线性互补问题 例外族 P0-矩阵对 

分 类 号：O221.2[理学—运筹学与控制论]