A hybrid three-term conjugate gradient projection method for constrained nonlinear monotone equations with applications

J Yin, J Jian, X Jiang, M Liu, L Wang - Numerical Algorithms, 2021 - Springer
In this paper, based on the three-term conjugate gradient method and the hybrid technique,
we propose a hybrid three-term conjugate gradient projection method by incorporating the …

A hybrid conjugate gradient algorithm for constrained monotone equations with application in compressive sensing

AH Ibrahim, P Kumam, AB Abubakar, W Jirakitpuwapat… - Heliyon, 2020 - cell.com
Combining the projection method of Solodov and Svaiter with the Liu-Storey and Fletcher
Reeves conjugate gradient algorithm of Djordjević for unconstrained minimization problems …

[HTML][HTML] A projection method for convex constrained monotone nonlinear equations with applications

JK Liu, SJ Li - Computers & Mathematics with Applications, 2015 - Elsevier
In this paper, we present a projection method to solve monotone nonlinear equations with
convex constraints. This method can be viewed as an extension of CG_DESCENT method …

A new family of hybrid three-term conjugate gradient methods with applications in image restoration

X Jiang, W Liao, J Yin, J Jian - Numerical Algorithms, 2022 - Springer
In this paper, based on the hybrid conjugate gradient method and the convex combination
technique, a new family of hybrid three-term conjugate gradient methods are proposed for …

A family of derivative-free conjugate gradient methods for constrained nonlinear equations and image restoration

AH Ibrahim, P Kumam, W Kumam - IEEE Access, 2020 - ieeexplore.ieee.org
In this paper, a derivative-free conjugate gradient method for solving nonlinear equations
with convex constraints is proposed. The proposed method can be viewed as an extension …

The PRP conjugate gradient algorithm with a modified WWP line search and its application in the image restoration problems

G Yuan, J Lu, Z Wang - Applied Numerical Mathematics, 2020 - Elsevier
It is well known that the conjugate gradient algorithm is one of the most classic and useful
methods for solving large-scale optimization problems, where the Polak-Ribière-Polyak …

An efficient conjugate gradient-based algorithm for unconstrained optimization and its projection extension to large-scale constrained nonlinear equations with …

X Wu, H Shao, P Liu, Y Zhang, Y Zhuo - Journal of Computational and …, 2023 - Elsevier
In this paper, a hybrid version of the Rivaie–Mustafa–Ismail–Leong, RMIL for short,
conjugate gradient method is proposed for unconstrained optimization problem. The search …

Signal recovery with convex constrained nonlinear monotone equations through conjugate gradient hybrid approach

AS Halilu, A Majumder, MY Waziri, K Ahmed - Mathematics and Computers …, 2021 - Elsevier
In recent years there is a vast application of conjugate gradient methods to restore the
disturbed signals in compressive sensing. This research aims at developing a scheme …

An efficient three-term conjugate gradient method for nonlinear monotone equations with convex constraints

P Gao, C He - Calcolo, 2018 - Springer
In this paper, based on the hyperplane projection technique, we propose a three-term
conjugate gradient method for solving nonlinear monotone equations with convex …

A note on the spectral gradient projection method for nonlinear monotone equations with applications

AB Abubakar, P Kumam, H Mohammad - Computational and Applied …, 2020 - Springer
In this work, we provide a note on the spectral gradient projection method for solving
nonlinear equations. Motivated by recent extensions of the spectral gradient method for …