Some Classes of Pseudoconvex Fractional Functions via the Charnes and Cooper Transformation

Using a very recent approach based on the Charnes-Cooper trasformation we characterize the pseudoconvexity of the sum between a quadratic fractional function and a linear one. Furthemore we prove that the ratio between a quadratic fractional function and the cube of an affine one is pseudoconvex if and only if the product between a quadratic fractional function and an affine one is pseudoconvex and we provide a sort of canonical form for this latter class of functions. Benefiting by the new results we\ are able to characterize the pseudoconvexity of the ratio between a quadratic fractional function and the cube of an affine one.

Titolo: Some Classes of Pseudoconvex Fractional Functions via the Charnes and Cooper Transformation
Autori: Carosi, Laura; Martein, Laura
Autori interni: 
CAROSI, LAURA
MARTEIN, LAURA
Anno del prodotto: 2007
Abstract: Using a very recent approach based on the Charnes-Cooper trasformation we characterize the pseudoconvexity of the sum between a quadratic fractional function and a linear one. Furthemore we prove that the ratio between a quadratic fractional function and the cube of an affine one is pseudoconvex if and only if the product between a quadratic fractional function and an affine one is pseudoconvex and we provide a sort of canonical form for this latter class of functions. Benefiting by the new results we\ are able to characterize the pseudoconvexity of the ratio between a quadratic fractional function and the cube of an affine one.
Digital Object Identifier (DOI): 10.1007/978-3-540-37007-9_10
Appare nelle tipologie:2.1 Contributo in volume (Capitolo o Saggio)

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