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A note on the paper Fractional Programming with convex quadratic forms and functions by H.P.Benson

Author

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  • Frenk, J.B.G.

Abstract

In this technical note we give a short proof based on standard results in convex analysis of some important characterization results listed in Theorem 3 and 4 of [1]. Actually our result is slightly general since we do not specify the convex set X. For clarity we use the same notation for the different equivalent optimization problems as done in [1].

Suggested Citation

  • Frenk, J.B.G., 2005. "A note on the paper Fractional Programming with convex quadratic forms and functions by H.P.Benson," ERIM Report Series Research in Management ERS-2005-004-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    • Handle: RePEc:ems:eureri:1928
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    More about this item

    Keywords

    global optimalization; ratio of a convex quadratic and a convex function; single ratio fractional programming;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • M - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics
    • M11 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Production Management
    • R4 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics

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