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Upper Bound Design for the Lipschitz Constant of the F G ( ν , q )-Entropy Operator

Author

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  • Yuri S. Popkov

    (Institute for Systems Analysis of Federal Research Center “Computer Science and Control” of Russian Academy of Sciences, Moscow 119333, Russia
    Department of Software Engineering, Braude College of Haifa University, Karmiel 2161002, Israel)

Abstract

This paper develops an upper bound design method of the Lipschitz constant for the generalized Fermi–Dirac information entropy operator with a polyhedral admissible set. We introduce the concept of a normal operator from this class in which the constraint matrix has normalized columns. Next, we establish a connection between the normal and original operator. Finally, we demonstrate that the normal operator is majorized by the linear one and find numerical characteristics of this majorant.

Suggested Citation

  • Yuri S. Popkov, 2018. "Upper Bound Design for the Lipschitz Constant of the F G ( ν , q )-Entropy Operator," Mathematics, MDPI, vol. 6(5), pages 1-9, May.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:5:p:73-:d:144969
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    References listed on IDEAS

    as
    1. Popkov, Alexey Y. & Popkov, Yuri S. & van Wissen, Leo, 2005. "Positive dynamic systems with entropy operator: Application to labour market modelling," European Journal of Operational Research, Elsevier, vol. 164(3), pages 811-828, August.
    Full references (including those not matched with items on IDEAS)

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