The iteration-stability bound claimed for the explicit-implicit Euler discretization of the Euler-Lagrange acceleration ODE is not proven and is false for some parameter values permitted by the theorem.
A differential equation for modeling nesterov’s accelerated gradient method: Theory and insights
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On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE
The iteration-stability bound claimed for the explicit-implicit Euler discretization of the Euler-Lagrange acceleration ODE is not proven and is false for some parameter values permitted by the theorem.