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.
2008
Marchi, Anna; Martein, Laura
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/203678
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