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• W2867669197 abstract "We investigate a second-order dynamical system with variable damping in connection with the minimization of a nonconvex differentiable function. The dynamical system is formulated in the spirit of the differential equation which models Nesterov's accelerated convex gradient method. We show that the generated trajectory converges to a critical point, if a regularization of the objective function satisfies the Kurdyka- Lojasiewicz property. We also provide convergence rates for the trajectory formulated in terms of the Lojasiewicz exponent." @default.
• W2867669197 created "2018-07-19" @default.
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• W2867669197 date "2018-07-09" @default.
• W2867669197 modified "2023-10-17" @default.
• W2867669197 title "A second-order dynamical approach with variable damping to nonconvex smooth minimization" @default.
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• W2867669197 doi "https://doi.org/10.1080/00036811.2018.1495330" @default.
• W2867669197 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/7077366" @default.
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• W2867669197 hasPublicationYear "2018" @default.
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