scientific article; zbMATH DE number 7467636

zbMath1489.37095MaRDI QIDQ5024953

Hedy Attouch, Zaki Chbani, Hassan Riahi

Publication date: 1 February 2022

Full work available at URL: http://yokohamapublishers.jp/online2/oppafa/vol6/p1081.html

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zbMATH Keywords

convex optimizationtime rescalingLyapunov analysisinertial gradient systemNesterov accelerated gradient methodinertial proximal algorithms

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical optimization and variational techniques (65K10) Management decision making, including multiple objectives (90B50) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Dynamical systems in optimization and economics (37N40) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (9)

Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling ⋮ Fast convergence of dynamical ADMM via time scaling of damped inertial dynamics ⋮ Inertial primal-dual dynamics with damping and scaling for linearly constrained convex optimization problems ⋮ Fast continuous dynamics inside the graph of subdifferentials of nonsmooth convex functions ⋮ Strong Convergence of Trajectories via Inertial Dynamics Combining Hessian-Driven Damping and Tikhonov Regularization for General Convex Minimizations ⋮ The heavy ball method regularized by Tikhonov term. Simultaneous convergence of values and trajectories ⋮ Time rescaling of a primal-dual dynamical system with asymptotically vanishing damping ⋮ Fast optimization via inertial dynamics with closed-loop damping ⋮ Fast convex optimization via a third-order in time evolution equation: TOGES-V an improved version of TOGES*

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