On the Pseudoconvexity of the Sum of Two Linear Fractional Functions

  • Alberto Cambini
  • Laura Martein
  • Siegfried Schaible
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 77)


Charnes and Cooper (1962) reduced a linear fractional program to a linear program with help of a suitable transformation of variables. We show that this transformation preserves pseudoconvexity of a function. The result is then used to characterize sums of two linear fractional functions which are still pseudoconvex. This in turn leads to a characterization of pseudolinear sums of two linear fractional functions.


Fractional programming sum of ratios pseudoconvexity pseudolinearity 


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Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  • Alberto Cambini
    • 1
  • Laura Martein
    • 1
  • Siegfried Schaible
    • 2
  1. 1.Department of Statistics and Applied MathematicsUniversity of PisaItaly
  2. 2.A. G. Anderson Graduate School of ManagementUniversity of California at RiversideUSA

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