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On the worst-case complexity of the gradient method with exact line search for smooth strongly convex functions

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  • de Klerk, Etienne

    (Tilburg University, School of Economics and Management)

  • Glineur, Francois
  • Taylor, Adrien

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Suggested Citation

  • de Klerk, Etienne & Glineur, Francois & Taylor, Adrien, 2017. "On the worst-case complexity of the gradient method with exact line search for smooth strongly convex functions," Other publications TiSEM 8cc0e8dd-b6cd-4f4f-9dcb-9, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:8cc0e8dd-b6cd-4f4f-9dcb-9531d5df7a75
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    File URL: https://pure.uvt.nl/ws/portalfiles/portal/19960766/On_the_worst_case_complexity_of_the_gradient_method.pdf
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    Cited by:

    1. André Uschmajew & Bart Vandereycken, 2022. "A Note on the Optimal Convergence Rate of Descent Methods with Fixed Step Sizes for Smooth Strongly Convex Functions," Journal of Optimization Theory and Applications, Springer, vol. 194(1), pages 364-373, July.
    2. Adrien B. Taylor & Julien M. Hendrickx & François Glineur, 2018. "Exact Worst-Case Convergence Rates of the Proximal Gradient Method for Composite Convex Minimization," Journal of Optimization Theory and Applications, Springer, vol. 178(2), pages 455-476, August.
    3. Abbaszadehpeivasti, Hadi & de Klerk, Etienne & Zamani, Moslem, 2022. "The exact worst-case convergence rate of the gradient method with fixed step lengths for L-smooth functions," Other publications TiSEM 061688c6-f97c-4024-bb5b-1, Tilburg University, School of Economics and Management.
    4. Roland Hildebrand, 2021. "Optimal step length for the Newton method: case of self-concordant functions," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 94(2), pages 253-279, October.
    5. Sandra S. Y. Tan & Antonios Varvitsiotis & Vincent Y. F. Tan, 2021. "Analysis of Optimization Algorithms via Sum-of-Squares," Journal of Optimization Theory and Applications, Springer, vol. 190(1), pages 56-81, July.
    6. Hadi Abbaszadehpeivasti & Etienne Klerk & Moslem Zamani, 2024. "On the Rate of Convergence of the Difference-of-Convex Algorithm (DCA)," Journal of Optimization Theory and Applications, Springer, vol. 202(1), pages 475-496, July.
    7. Guoyong Gu & Junfeng Yang, 2024. "Tight Ergodic Sublinear Convergence Rate of the Relaxed Proximal Point Algorithm for Monotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 202(1), pages 373-387, July.

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