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EnglishIn 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 nonsingular 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 3 × 3 matrix 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: | MARTEIN L; CAMBINI A |
| Autori interni: | |
| Anno del prodotto: | 2006 |
| Abstract: | 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 nonsingular 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 3 × 3 matrix is given and a method for constructing a merely pseudomonotone matrix is suggested. |
| Digital Object Identifier (DOI): | 10.1007/978-3-540-37007-9_6 |
| Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |
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