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EnglishSummary. In this paper we will establish some necessary and/or sufficient conditions for both a nonsingular and a singular matrix A (interpreted as a linear map) to be pseudomonotone. The given results are in terms of the sign of the determinants of the principal submatrices and of the cofactors of A in the non singular case and in terms of the structure of A in the singular case. A complete characterization of pseudomonotonicity in terms of the coefficients of a Matrix of order 3 is given and a method for constructing a merely pseudomonotone matrix is suggested.
| Titolo: | Pseudomonotonicity of a linear map on the interior of the positive orthant |
| Autori: | CAMBINI A |
| Autori interni: | |
| Anno del prodotto: | 2007 |
| Abstract: | Summary. In this paper we will establish some necessary and/or sufficient conditions for both a nonsingular and a singular matrix A (interpreted as a linear map) to be pseudomonotone. The given results are in terms of the sign of the determinants of the principal submatrices and of the cofactors of A in the non singular case and in terms of the structure of A in the singular case. A complete characterization of pseudomonotonicity in terms of the coefficients of a Matrix of order 3 is given and a method for constructing a merely pseudomonotone matrix is suggested. |
| Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |
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