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A Unifying Approach to Solve a Class of Parametrically-Convexifiable Problems

In: Generalized Convexity and Related Topics

Author

Listed:
  • Riccardo Cambini

    (University of Pisa Faculty of Economics)

  • Claudio Sodini

    (University of Pisa Faculty of Economics)

Abstract

Summary The aim of this paper is to show how a wide class of generalized quadratic programs can be solved, in a unifying framework, by means of the so-called optimal level solutions method. In other words, the problems are solved by analyzing, explicitly or implicitly, the optimal solutions of particular quadratic strictly convex parametric subproblems. In particular, it is pointed out that some of these problems share the same set of optimal level solutions. A solution algorithm is proposed and fully described. The results achieved are then deepened in the particular case of box constrained problems.

Suggested Citation

  • Riccardo Cambini & Claudio Sodini, 2007. "A Unifying Approach to Solve a Class of Parametrically-Convexifiable Problems," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 149-166, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-37007-9_8
    DOI: 10.1007/978-3-540-37007-9_8
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    Cited by:

    1. Cambini, Riccardo & Sodini, Claudio, 2010. "A unifying approach to solve some classes of rank-three multiplicative and fractional programs involving linear functions," European Journal of Operational Research, Elsevier, vol. 207(1), pages 25-29, November.

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