[HTML][HTML] A conjugate gradient method to solve convex constrained monotone equations with applications in compressive sensing

Y Xiao, H Zhu - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
CG_DESCENT is a state-of-the-art algorithm to solve large-scale unconstrained
minimization problems. However, research activities on CG_DESCENT in some other …

A derivative-free iterative method for nonlinear monotone equations with convex constraints

J Liu, Y Feng - Numerical Algorithms, 2019 - Springer
In this paper, based on the projection strategy, we propose a derivative-free iterative method
for large-scale nonlinear monotone equations with convex constraints, which can generate a …

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 …

[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 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 …

A modified Hestenes and Stiefel conjugate gradient algorithm for large-scale nonsmooth minimizations and nonlinear equations

G Yuan, Z Meng, Y Li - Journal of Optimization Theory and Applications, 2016 - Springer
It is well known that nonlinear conjugate gradient methods are very effective for large-scale
smooth optimization problems. However, their efficiency has not been widely investigated for …

[HTML][HTML] A three-terms Polak–Ribière–Polyak conjugate gradient algorithm for large-scale nonlinear equations

G Yuan, M Zhang - Journal of Computational and Applied Mathematics, 2015 - Elsevier
In this paper, a conjugate gradient algorithm for systems of large-scale nonlinear equations
is designed by the following steps:(i) A three-terms conjugate gradient direction dk is …

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 …

A modified Perry's conjugate gradient method-based derivative-free method for solving large-scale nonlinear monotone equations

Z Dai, X Chen, F Wen - Applied Mathematics and Computation, 2015 - Elsevier
In this paper, we propose a derivative-free method for solving large-scale nonlinear
monotone equations. It combines the modified Perry's conjugate gradient method (IE …

A modified Hestenes-Stiefel-type derivative-free method for large-scale nonlinear monotone equations

Z Dai, H Zhu - Mathematics, 2020 - mdpi.com
The goal of this paper is to extend the modified Hestenes-Stiefel method to solve large-scale
nonlinear monotone equations. The method is presented by combining the hyperplane …