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Recursive Approximation of the High Dimensional max Function

Author

Listed:
  • Birbil, S.I.
  • Fang, S-C.
  • Frenk, J.B.G.
  • Zhang, S.

Abstract

An alternative smoothing method for the high dimensional max function has been studied. The proposed method is a recursive extension of the two dimensional smoothing functions. In order to analyze the proposed method, a theoretical framework related to smoothing methods has been discussed. Moreover, we support our discussion by considering some application areas. This is followed by a comparison with an alternative well-known smoothing method.

Suggested Citation

  • Birbil, S.I. & Fang, S-C. & Frenk, J.B.G. & Zhang, S., 2003. "Recursive Approximation of the High Dimensional max Function," ERIM Report Series Research in Management ERS-2003-003-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:267
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    More about this item

    Keywords

    n dimensional max function; recursive approximation; smoothing methods; vertical linear complementarity (VLCP);
    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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