Worst case complexity of direct search under convexity

In this paper we prove that the broad class of direct-search methods of directional type, based on imposing sufficient decrease to accept new iterates, exhibits the same worst case complexity bound and global rate of the gradient method for the unconstrained minimization of a convex and smooth funct...

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Bibliographic Details
Main Author: Dodangeh, Mahdi (author)
Other Authors: Vicente, Luís Nunes (author)
Format: article
Language:eng
Published: 2016
Online Access:http://hdl.handle.net/10316/45246
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/45246