Title
A Conjugate Gradient Method with Global Convergence for Large-Scale Unconstrained Optimization Problems.
Abstract
The conjugate gradient (CG) method has played a special role in solving large-scale nonlinear optimization problems due to the simplicity of their very low memory requirements. This paper proposes a conjugate gradient method which is similar to Dai-Liao conjugate gradient method (Dai and Liao, 2001) but has stronger convergence properties. The given method possesses the sufficient descent condition, and is globally convergent under strong Wolfe-Powell (SWP) line search for general function. Our numerical results show that the proposed method is very efficient for the test problems.
Year
DOI
Venue
2013
10.1155/2013/730454
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Gradient method,Conjugate gradient method,Gradient descent,Mathematical optimization,Mathematical analysis,Proximal Gradient Methods,Nonlinear conjugate gradient method,Mathematics,Conjugate residual method,Derivation of the conjugate gradient method,Biconjugate gradient method
Journal
2013
Issue
ISSN
Citations 
null
1110-757X
3
PageRank 
References 
Authors
0.42
9
3
Name
Order
Citations
PageRank
Shengwei Yao1655.53
Xiwen Lu218221.03
Zengxin Wei337328.04