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A Note on Isotone Solutions of the Parametric Linear Complementarity Problem


This paper shows that the parametric linear complementarity problem w = Mz + q + αp, w ≥ 0, z ≥ 0, wTz = 0, α ≥ 0 has isotone complementary solutions for q = 0 and every p iff M is a P-matrix. Thus, isotonicity for every q X

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Nov 12, 2013