A new conjugate gradient method based on Quasi-Newton equation for unconstrained optimization

2019 ◽  
Vol 350 ◽  
pp. 372-379 ◽  
Author(s):  
Xiangli Li ◽  
Juanjuan Shi ◽  
Xiaoliang Dong ◽  
Jianglan Yu
Keyword(s):  
Unconstrained Optimization ◽  
Conjugate Gradient Method ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Newton Equation ◽  
Quasi Newton

scholarly journals A Modified Dai–Liao Conjugate Gradient Method with a New Parameter for Solving Image Restoration Problems

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Junyu Lu ◽  
Yong Li ◽  
Hongtruong Pham
Keyword(s):  
Image Restoration ◽  
Conjugate Gradient Method ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Convergence Property ◽  
Newton Equation ◽  
Adaptive Choice ◽  
Global Convergence Property ◽  
And Function ◽  
Quasi Newton

One adaptive choice for the parameter of the Dai–Liao conjugate gradient method is suggested in this paper, which is obtained with modified quasi–Newton equation. So we get a modified Dai–Liao conjugate gradient method. Some interesting features of the proposed method are introduced: (i) The value of parameter t of the modified Dai–Liao conjugate gradient method takes both the gradient and function value information. (ii) We establish the global convergence property of the modified Dai–Liao conjugate gradient method under some suitable assumptions. (iii) Numerical results show that the modified DL method is effective in practical computation and the image restoration problems.

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