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- W2143370902 abstract "We consider the linear complementarity problem of finding vectors w ϵ Rn, z ϵ Rn satisfying w − Mz = q, w ⩾ 0, z ⩾ 0, wTz = 0. We show that if the off diagonal elements of M are nonpositive, then the above problem is solved by applying the simplex method to the problem Minimize z0 subject to w − Mz − enz0 = q, (z0, w, z) ⩾ 0, where en is a column vector of 1's. In fact the sequence of basic feasible solutions obtained by the simplex method and by Lemke's algorithm are the same. We also obtain necessary and sufficient conditions for the problem to have solutions for all q." @default.
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- W2143370902 date "1976-01-01" @default.
- W2143370902 modified "2023-09-27" @default.
- W2143370902 title "On the simplex method and a class of linear complementary problems" @default.
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- W2143370902 doi "https://doi.org/10.1016/0024-3795(76)90057-4" @default.
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