A modified Dai-Liao conjugate gradient method with a new parameter for solving image restoration problems (Q2004127)

Summary: 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.