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

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.