In this paper the pseudomonotonicity of the affine map F(x) = Mx+q on the interior of the positive orthant of Rn is studied. A new characterization is suggested involving the positive and the negative polar of the cone generated by the set W*={z=Mx+q: x∈ intRn +}. The obtained results are applied to the two dimensional case in order to achieve a complete characterization of pseudomonotonicity in terms of the coefficients of M and q.
Pseudomonotonicity of an affine map and the two dimensional case
MARCHI, ANNA;MARTEIN, LAURA
2008-01-01
Abstract
In this paper the pseudomonotonicity of the affine map F(x) = Mx+q on the interior of the positive orthant of Rn is studied. A new characterization is suggested involving the positive and the negative polar of the cone generated by the set W*={z=Mx+q: x∈ intRn +}. The obtained results are applied to the two dimensional case in order to achieve a complete characterization of pseudomonotonicity in terms of the coefficients of M and q.File in questo prodotto:
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