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On conjugate points and the Leitmann equivalent problem approach

Author

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  • Wagener, F.O.O.

    (University of Amsterdam)

Abstract

This article extends the Leitmann equivalence method to a class of problems featuring conjugate points. The class is characterised by the requirement that the set of indifference points of a given problem forms a finite stratification.

Suggested Citation

  • Wagener, F.O.O., 2009. "On conjugate points and the Leitmann equivalent problem approach," CeNDEF Working Papers 09-08, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    • Handle: RePEc:ams:ndfwpp:09-08
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    File URL: http://cendef.uva.nl/binaries/content/assets/subsites/amsterdam-school-of-economics/amsterdam-school-of-economics-research-institute/cendef/working-papers-2009/conjugatepoints.pdf?1363343319905
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    References listed on IDEAS

    as
    1. F. O. O. Wagener, 2009. "On the Leitmann Equivalent Problem Approach," Journal of Optimization Theory and Applications, Springer, vol. 142(1), pages 229-242, July.
    2. D. F. M. Torres & G. Leitmann, 2008. "Contrasting Two Transformation-based Methods for Obtaining Absolute Extrema," Journal of Optimization Theory and Applications, Springer, vol. 137(1), pages 53-59, April.
    3. G. Leitmann, 2001. "On a Class of Direct Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 108(3), pages 467-481, March.
    4. D.A. Carlson, 2002. "An Observation on Two Methods of Obtaining Solutions to Variational Problems," Journal of Optimization Theory and Applications, Springer, vol. 114(2), pages 345-361, August.
    5. Dean A. Carlson, 2004. "Two Direct Methods For Obtaining Solutions To Variational Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 6(01), pages 1-13.
    6. G. Leitmann, 2001. "Some Extensions to a Direct Optimization Method," Journal of Optimization Theory and Applications, Springer, vol. 111(1), pages 1-6, October.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Florian Wagener, 2025. "On the infinite horizon linear-quadratic regulator problem and the Leitmann transformation," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 33(2), pages 345-349, June.
    2. A. B. Malinowska & D. F. M. Torres, 2010. "The Hahn Quantum Variational Calculus," Journal of Optimization Theory and Applications, Springer, vol. 147(3), pages 419-442, December.

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