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Some new three-term Hestenes–Stiefel conjugate gradient methods with affine combination.

Authors :
Dong, Xiao-Liang
Han, De-Ren
Ghanbari, Reza
Li, Xiang-Li
Dai, Zhi-Feng
Source :
Optimization. May2017, Vol. 66 Issue 5, p759-776. 18p.
Publication Year :
2017

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. [ABSTRACT FROM PUBLISHER]

Details

Language :
English
ISSN :
02331934
Volume :
66
Issue :
5
Database :
Academic Search Index
Journal :
Optimization
Publication Type :
Academic Journal
Accession number :
122101423
Full Text :
https://doi.org/10.1080/02331934.2017.1295242