Title : ( A descent extension of the Polak–Ribière–Polyak conjugate gradient method )
Authors: Saman Babaie-Kafaki , Reza Ghanbari ,
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Abstract
Based on an eigenvalue analysis, a descent class of two-parameter extension of the conjugate gradient method proposed by Polak and Ribière (1969), and Polyak (1969) is suggested.It is interesting that the one-parameter class of descent conjugate gradient methods proposed by Yu et al. (2008) is a member of the suggested class. Global convergence analysis for the methods of the suggested class is made briefly. Preliminary numerical results are reported; they demonstrate proper choices for the parameters of the suggested class of the conjugate gradient methods that may lead to a promising computational performance.
Keywords
, Unconstrained optimization, Large-scale optimization, Conjugate gradient method, Descent condition Eigenvalue
@article{paperid:1044727,
author = {Saman Babaie-Kafaki and Ghanbari, Reza},
title = {A descent extension of the Polak–Ribière–Polyak conjugate gradient method},
journal = {Computers and Mathematics with Applications},
year = {2014},
volume = {68},
number = {12},
month = {December},
issn = {0898-1221},
pages = {2005--2011},
numpages = {6},
keywords = {Unconstrained optimization، Large-scale optimization، Conjugate gradient method، Descent condition
Eigenvalue},
}
%0 Journal Article
%T A descent extension of the Polak–Ribière–Polyak conjugate gradient method
%A Saman Babaie-Kafaki
%A Ghanbari, Reza
%J Computers and Mathematics with Applications
%@ 0898-1221
%D 2014
