A Modified Conjugate Gradient Method and Its Global Convergence

2016 ◽  
Author(s):  
Guest Editor Jianping Du
Keyword(s):  
Global Convergence ◽  
Conjugate Gradient Method ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Modified Conjugate Gradient Method

scholarly journals A Global Convergence of LS-CD Hybrid Conjugate Gradient Method

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Xiangfei Yang ◽  
Zhijun Luo ◽  
Xiaoyu Dai
Keyword(s):  
Global Convergence ◽  
Conjugate Gradient Method ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Line Search ◽  
Conjugate Gradient Algorithms ◽  
Gradient Algorithms ◽  
Unconstrained Optimization Problem ◽  
Hybrid Conjugate Gradient Method ◽  
Modified Conjugate Gradient Method

Conjugate gradient method is one of the most effective algorithms for solving unconstrained optimization problem. In this paper, a modified conjugate gradient method is presented and analyzed which is a hybridization of known LS and CD conjugate gradient algorithms. Under some mild conditions, the Wolfe-type line search can guarantee the global convergence of the LS-CD method. The numerical results show that the algorithm is efficient.

A modified Perry conjugate gradient method and its global convergence

2014 ◽  
Vol 9 (5) ◽  
pp. 999-1015 ◽  
Author(s):  
Ioannis E. Livieris ◽  
Panagiotis Pintelas
Keyword(s):  
Global Convergence ◽  
Conjugate Gradient Method ◽  
Conjugate Gradient ◽  
Gradient Method
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