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

Laura Carosi () and Laura Martein ()
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Laura Carosi: University of Pisa
Laura Martein: University of Pisa

A chapter in Generalized Convexity and Related Topics, 2007, pp 177-188 from Springer

Abstract: Summary 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.

Keywords: Pseudoconvexity; fractional programming; quadratic programming (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-540-37007-9_10

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DOI: 10.1007/978-3-540-37007-9_10

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