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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/625269
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