In this paper we will characterize the maximal domains of pseudoconvexity of the ratio betwcen a quadratic function and an affine one. Furthermore, motivated by thc fact that in optimization problems the decision variables are often required to be nonnegative, we will specialize the obtained results in order to achieve conditions which guarantee that the nonnegative orthant is contained in thc maximal domains of pseudoconvexity of the function.
On the maximal domains of pseudoconvexity of a quadratic fractional function
CAMBINI, ALBERTO;MARTEIN, LAURA
2010-01-01
Abstract
In this paper we will characterize the maximal domains of pseudoconvexity of the ratio betwcen a quadratic function and an affine one. Furthermore, motivated by thc fact that in optimization problems the decision variables are often required to be nonnegative, we will specialize the obtained results in order to achieve conditions which guarantee that the nonnegative orthant is contained in thc maximal domains of pseudoconvexity of the function.File in questo prodotto:
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