On Generalized Linearity of Quadratic Fractional Functions

Authors:
R. Cambini;L. Carosi
Affiliations:
Department of Statistics and Applied Mathematics, Faculty of Economics, University of Pisa, Pisa, Italy 56124;Department of Statistics and Applied Mathematics, Faculty of Economics, University of Pisa, Pisa, Italy 56124
Venue:
Journal of Global Optimization
Year:
2004

Citing 3
Cited 1

On characterizing the solution sets of pseudolinear programs

Journal of Optimization Theory and Applications
Introduction to matrix analysis (2nd ed.)

Introduction to matrix analysis (2nd ed.)
Second-order global optimality conditions for convex composite optimization

Mathematical Programming: Series A and B

On solutions of fuzzy random multiobjective quadratic programming with applications in portfolio problem

Information Sciences: an International Journal

Quantified Score

Hi-index	0.00

Visualization

Abstract

Quadratic fractional functions are proved to be quasilinear if and only if they are pseudo-linear. For these classes of functions, some characterizations are provided by means of the inertia of the quadratic form and the behavior of the gradient of the function itself. The study is then developed showing that generalized linear quadratic fractional functions share a particular structure. Therefore it is possible to suggest a sort of "canonical form" for those functions. A wider class of functions given by the sum of a quadratic fractional function and a linear one is also studied. In this case generalized linearity is characterized by means of simple conditions. Finally, it is deepened on the role played by generalized linear quadratic fractional functions in optimization problems.