A new class of nonlinear conjugate gradient coefficients with global convergence properties

2012 ◽  
Vol 218 (22) ◽  
pp. 11323-11332 ◽  
Author(s):  
Mohd Rivaie ◽  
Mustafa Mamat ◽  
Leong Wah June ◽  
Ismail Mohd
Keyword(s):  
Global Convergence ◽  
Conjugate Gradient ◽  
Convergence Properties ◽  
New Class ◽  
Nonlinear Conjugate Gradient

scholarly journals Global Convergence of Nonlinear Conjugate Gradient Coefficients with Inexact Line Search

2021 ◽  
Author(s):  
Awad Abdelrahman ◽  
Osman Yousif ◽  
Mogtaba Mhammed ◽  
Murtada Elbashir
Keyword(s):  
Global Convergence ◽  
Unconstrained Optimization ◽  
Conjugate Gradient ◽  
Line Search ◽  
Optimization Problems ◽  
Convergence Properties ◽  
Inexact Line Search ◽  
Modified Method ◽  
Nonlinear Conjugate Gradient ◽  
Large Scale Unconstrained Optimization

Nonlinear conjugate gradient (CG) methods are significant for solving large-scale, unconstrained optimization problems, providing vital knowledge to determine the minimum point or optimize the objective functions. Many studies of modifications for nonlinear CG methods have been carried out to improve the performance of numerical computation and to establish global convergence properties. One of these studies is the modified CG method, which has been proposed by Rivaie et al. (2015). In this paper, we modify their work in such a way that one can obtain efficient numerical performance and global convergence properties. Due to the widespread use of the strong Wolfe line search in practice, our proposed modified method implemented its use. At the same time, to show the performance of the modified method in practice, a numerical experiment is performed. KEYWORDS Unconstrained optimization; conjugate gradient method; sufficient descent property; global convergence

Convergence Properties of Nonlinear Conjugate Gradient Methods

2000 ◽  
Vol 10 (2) ◽  
pp. 345-358 ◽  
Author(s):  
Yuhong Dai ◽  
Jiye Han ◽  
Guanghui Liu ◽  
Defeng Sun ◽  
Hongxia Yin ◽  
...  
Keyword(s):  
Conjugate Gradient ◽  
Gradient Methods ◽  
Conjugate Gradient Methods ◽  
Convergence Properties ◽  
Nonlinear Conjugate Gradient ◽  
Nonlinear Conjugate Gradient Methods
Sign in / Sign up

Export Citation Format

Share Document