A decoupled first/second-order steps technique for nonconvex nonlinear unconstrained optimization with improved complexity bounds

In order to be provably convergent towards a second-order stationary point, optimization methods applied to nonconvex problems must necessarily exploit both first and second-order information. However, as revealed by recent complexity analyses of some of these methods, the overall effort to reach se...

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Bibliographic Details
Main Author: Gratton, Serge (author)
Other Authors: Royer, Clément W (author), Vicente, Luís Nunes (author)
Format: article
Language:eng
Published: 2020
Online Access:http://hdl.handle.net/10316/89471
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/89471