Title : ( Some new three-term Hestenes–Stiefel conjugate gradient methods with affine combination )
Authors: Xiao-Liang Dong , De-Ren Han , Reza Ghanbari , Xiang-Li Li , Zhi-Feng Dai ,
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Abstract
In this paper, a modified Hestenes–Stiefel conjugate gradient method for unconstrained problems is developed, which can achieves the twin goals of generating sufficient descent direction at each iteration as well as being close to the Newton direction. In our methods, the hybridization parameter can also be obtained based on other kinds of conjugacy conditions. Under mild condition, we establish their global convergence for general objective functions. Numerical experimentation with the new method indicates that it efficiently solves the test problems and therefore is promising.
Keywords
, Three-term conjugate gradient method, sufficient descent condition, quasi-Newton condition, global convergence, affine combination
@article{paperid:1063070,
author = {Xiao-Liang Dong and De-Ren Han and Ghanbari, Reza and Xiang-Li Li and Zhi-Feng Dai},
title = {Some new three-term Hestenes–Stiefel conjugate gradient methods with affine combination},
journal = {Optimization},
year = {2017},
volume = {66},
number = {5},
month = {May},
issn = {0233-1934},
pages = {759--776},
numpages = {17},
keywords = {Three-term conjugate gradient method; sufficient descent condition; quasi-Newton condition; global convergence; affine combination},
}
%0 Journal Article
%T Some new three-term Hestenes–Stiefel conjugate gradient methods with affine combination
%A Xiao-Liang Dong
%A De-Ren Han
%A Ghanbari, Reza
%A Xiang-Li Li
%A Zhi-Feng Dai
%J Optimization
%@ 0233-1934
%D 2017
