On the optimal order of worst case complexity of direct search

The worst case complexity of direct-search methods has been recently analyzed when they use positive spanning sets and impose a sufficient decrease condition to accept new iterates. For smooth unconstrained optimization, it is now known that such methods require at most \mathcal {O}(n^2\epsilon ^{-2...

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Bibliographic Details
Main Author: Dodangeh, Mahdi (author)
Other Authors: Vicente, Luís Nunes (author), Zhang, Zaikun (author)
Format: article
Language:eng
Published: 2016
Online Access:http://hdl.handle.net/10316/45237
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/45237