Open AccessConvergence Rates of Damped Inertial Dynamics under Geometric Conditions and Perturbations
Author(s) -
Othmane Sebbouh,
Ch. Dossal,
Aude Rondepierre
Publication year - 2020
Publication title -
siam journal on optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.066
H-Index - 136
eISSN - 1095-7189
pISSN - 1052-6234
DOI - 10.1137/19m1272767
Subject(s) - mathematics , inertial frame of reference , dynamics (music) , convergence (economics) , mathematical analysis , classical mechanics , physics , acoustics , economics , economic growth
In this article a family of second-order ODEs associated with the inertial gradient descent is studied. These ODEs are widely used to build trajectories converging to a minimizer $x^*$ of a functio...
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