Citations (23)
Keep up to date with the latest research on this topic with citation updates for this article.
Read on this site (2)
Xin He, Rong Hu & Ya-Ping Fang. (2023) Inertial primal-dual dynamics with damping and scaling for linearly constrained convex optimization problems. Applicable Analysis 102:15, pages 4114-4139.
Read now
Read now
Hao Luo. (2023) Accelerated differential inclusion for convex optimization. Optimization 72:5, pages 1139-1170.
Read now
Read now
Articles from other publishers (21)
Jean-François Aujol, Charles Dossal, Van Hao Hoàng, Hippolyte Labarrière & Aude Rondepierre. (2023) Fast Convergence of Inertial Dynamics with Hessian-Driven Damping Under Geometry Assumptions. Applied Mathematics & Optimization 88:3.
Crossref
Crossref
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.
Crossref
Crossref
Jun-Ren Luo & Ti-Jun Xiao. (2023) Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries. Applied Mathematics & Optimization 87:3.
Crossref
Crossref
J.-F. Aujol, Ch. Dossal & A. Rondepierre. (2022) Convergence rates of the Heavy-Ball method under the Łojasiewicz property. Mathematical Programming 198:1, pages 195-254.
Crossref
Crossref
Bin Ge, Xiangwu Zhuge & Haixin Ren. (2022) Convergence rates of damped inerial dynamics from multi-degree-of-freedom system. Optimization Letters 16:9, pages 2753-2774.
Crossref
Crossref
J.-F. Aujol, Ch. Dossal & A. Rondepierre. (2022) Convergence Rates of the Heavy Ball Method for Quasi-strongly Convex Optimization. SIAM Journal on Optimization 32:3, pages 1817-1842.
Crossref
Crossref
Jun-Ren Luo & Ti-Jun Xiao. (2022) Asymptotic stability of intermittently damped semi-linear hyperbolic-type equations. Communications on Pure and Applied Analysis 0:0, pages 0.
Crossref
Crossref
Radu Ioan Boţ & Dang-Khoa Nguyen. (2021) Improved convergence rates and trajectory convergence for primal-dual dynamical systems with vanishing damping. Journal of Differential Equations 303, pages 369-406.
Crossref
Crossref
Jun‐Ren Luo & Ti‐Jun Xiao. (2020) Decay rates for semilinear wave equations with vanishing damping and Neumann boundary conditions. Mathematical Methods in the Applied Sciences 44:1, pages 303-314.
Crossref
Crossref
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.
Crossref
Crossref
Xin He, Rong Hu & Ya Ping Fang. (2021) Convergence Rates of Inertial Primal-Dual Dynamical Methods for Separable Convex Optimization Problems. SIAM Journal on Control and Optimization 59:5, pages 3278-3301.
Crossref
Crossref
O. Sebbouh, Ch. Dossal & A. Rondepierre. (2020) Convergence Rates of Damped Inertial Dynamics under Geometric Conditions and Perturbations. SIAM Journal on Optimization 30:3, pages 1850-1877.
Crossref
Crossref
Hedy Attouch & Juan Peypouquet. (2018) Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators. Mathematical Programming 174:1-2, pages 391-432.
Crossref
Crossref
Jean-Francois Aujol, Charles Dossal & Aude Rondepierre. (2019) Optimal Convergence Rates for Nesterov Acceleration. SIAM Journal on Optimization 29:4, pages 3131-3153.
Crossref
Crossref
Hedy Attouch, Zaki Chbani & Hassan Riahi. (2019)
Rate of convergence of the Nesterov accelerated gradient method in the subcritical case
α
≤ 3
. ESAIM: Control, Optimisation and Calculus of Variations 25, pages 2.
Crossref
Crossref
Apidopoulos Vassilis, Aujol Jean-François & Dossal Charles. (2018) The Differential Inclusion Modeling FISTA Algorithm and Optimality of Convergence Rate in the Case b $\leq3$. SIAM Journal on Optimization 28:1, pages 551-574.
Crossref
Crossref
Hedy Attouch & Alexandre Cabot. (2018) Convergence Rates of Inertial Forward-Backward Algorithms. SIAM Journal on Optimization 28:1, pages 849-874.
Crossref
Crossref
Hedy Attouch, Zaki Chbani & Hassan Riahi. (2018) Combining fast inertial dynamics for convex optimization with Tikhonov regularization. Journal of Mathematical Analysis and Applications 457:2, pages 1065-1094.
Crossref
Crossref
Hedy Attouch & Alexandre Cabot. (2017) Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity. Journal of Differential Equations 263:9, pages 5412-5458.
Crossref
Crossref
Ramzi May & Mounir Balti. (2017) Asymptotic for the perturbed heavy ball system with vanishing damping term. Evolution Equations and Control Theory 6:2, pages 177-186.
Crossref
Crossref
Ramzi May. (2015) Long time behavior for a semilinear hyperbolic equation with asymptotically vanishing damping term and convex potential. Journal of Mathematical Analysis and Applications 430:1, pages 410-416.
Crossref
Crossref