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Lexicographic differentiation of nonsmooth functions

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  • NESTEROV, Yu.

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  • NESTEROV, Yu., 2005. "Lexicographic differentiation of nonsmooth functions," LIDAM Reprints CORE 1817, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:1817
    DOI: 10.1007/s10107-005-0633-0
    Note: In : Mathematical Programming, series B, 104, 669-700, 2005
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    Cited by:

    1. Vikse, Matias & Watson, Harry A.J. & Kim, Donghoi & Barton, Paul I. & Gundersen, Truls, 2020. "Optimization of a dual mixed refrigerant process using a nonsmooth approach," Energy, Elsevier, vol. 196(C).
    2. Peter G. Stechlinski & Paul I. Barton, 2016. "Generalized Derivatives of Differential–Algebraic Equations," Journal of Optimization Theory and Applications, Springer, vol. 171(1), pages 1-26, October.
    3. Peter Stechlinski, 2020. "Optimization-Constrained Differential Equations with Active Set Changes," Journal of Optimization Theory and Applications, Springer, vol. 187(1), pages 266-293, October.
    4. Bolte, Jérôme & Le, Tam & Pauwels, Edouard & Silveti-Falls, Antonio, 2022. "Nonsmooth Implicit Differentiation for Machine Learning and Optimization," TSE Working Papers 22-1314, Toulouse School of Economics (TSE).
    5. NESTEROV, Yurii, 2011. "Random gradient-free minimization of convex functions," LIDAM Discussion Papers CORE 2011001, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Watson, Harry A.J. & Vikse, Matias & Gundersen, Truls & Barton, Paul I., 2018. "Optimization of single mixed-refrigerant natural gas liquefaction processes described by nondifferentiable models," Energy, Elsevier, vol. 150(C), pages 860-876.
    7. Kamil A. Khan & Paul I. Barton, 2014. "Generalized Derivatives for Solutions of Parametric Ordinary Differential Equations with Non-differentiable Right-Hand Sides," Journal of Optimization Theory and Applications, Springer, vol. 163(2), pages 355-386, November.
    8. Jose Alberto Gomez & Kai Höffner & Kamil A. Khan & Paul I. Barton, 2018. "Generalized Derivatives of Lexicographic Linear Programs," Journal of Optimization Theory and Applications, Springer, vol. 178(2), pages 477-501, August.
    9. Ackley, Matthew & Stechlinski, Peter, 2021. "Lexicographic derivatives of nonsmooth glucose-insulin kinetics under normal and artificial pancreatic responses," Applied Mathematics and Computation, Elsevier, vol. 395(C).

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