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Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 3
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A second-order dynamical approach with variable damping to nonconvex smooth minimization

Radu Ioan BoţFaculty of Mathematics, University of Vienna, Vienna, AustriaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-4469-314XView further author information
ORCID Icon,
Ernö Robert CsetnekFaculty of Mathematics, University of Vienna, Vienna, AustriaView further author information
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Szilárd Csaba LászlóDepartment of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, RomaniaView further author information
Pages 361-378 | Received 02 May 2018, Accepted 26 Jun 2018, Published online: 09 Jul 2018

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Cristian Daniel Alecsa. (2022) The rate of convergence of optimization algorithms obtained via discretizations of heavy ball dynamical systems for convex optimization problems. Optimization 71:13, pages 3909-3939.
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Articles from other publishers (11)

Samir Adly, Hedy Attouch & Manh Hung Le. (2023) First order inertial optimization algorithms with threshold effects associated with dry friction. Computational Optimization and Applications 86:3, pages 801-843.
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Szilárd Csaba László. (2023) On the strong convergence of the trajectories of a Tikhonov regularized second order dynamical system with asymptotically vanishing damping. Journal of Differential Equations 362, pages 355-381.
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Samir Adly & Hedy Attouch. (2021) First-order inertial algorithms involving dry friction damping. Mathematical Programming 193:1, pages 405-445.
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Szilárd Csaba László. (2020) Convergence rates for an inertial algorithm of gradient type associated to a smooth non-convex minimization. Mathematical Programming 190:1-2, pages 285-329.
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Cristian Daniel Alecsa, Szilárd Csaba László & Titus Pinţa. (2020) An Extension of the Second Order Dynamical System that Models Nesterov’s Convex Gradient Method. Applied Mathematics & Optimization 84:2, pages 1687-1716.
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Bo Xu & Bo Wen. (2020) On the convergence of a class of inertial dynamical systems with Tikhonov regularization. Optimization Letters 15:6, pages 2025-2052.
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Hedy Attouch & Szilárd Csaba László. (2020) Continuous Newton-like Inertial Dynamics for Monotone Inclusions. Set-Valued and Variational Analysis 29:3, pages 555-581.
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Cristian Daniel Alecsa & Szilárd Csaba László. (2021) Tikhonov Regularization of a Perturbed Heavy Ball System with Vanishing Damping. SIAM Journal on Optimization 31:4, pages 2921-2954.
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Cristian Daniel Alecsa, Szilárd Csaba László & Adrian Viorel. (2019) A gradient-type algorithm with backward inertial steps associated to a nonconvex minimization problem. Numerical Algorithms 84:2, pages 485-512.
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Hedy Attouch, Zaki Chbani & Hassan Riahi. (2020) Convergence Rate of Inertial Proximal Algorithms with General Extrapolation and Proximal Coefficients. Vietnam Journal of Mathematics 48:2, pages 247-276.
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Samir Adly & Hedy Attouch. (2020) Finite Convergence of Proximal-Gradient Inertial Algorithms Combining Dry Friction with Hessian-Driven Damping. SIAM Journal on Optimization 30:3, pages 2134-2162.
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