On Generalized Linearity of Quadratic Fractional Functions

@article{Cambini2004OnGL,
  title={On Generalized Linearity of Quadratic Fractional Functions},
  author={Riccardo Cambini and Laura Carosi},
  journal={Journal of Global Optimization},
  year={2004},
  volume={30},
  pages={235-251}
}
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… CONTINUE READING

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