A three-term projection method based on spectral secant equation for nonlinear monotone equations

N Zhang, JK Liu, B Tang - Japan Journal of Industrial and Applied …, 2024 - Springer
In this paper, we propose a three-term derivative-free projection algorithm for handling large-
scale nonlinear monotone equations with convex constrained. The search direction …

An efficient projection algorithm for solving convex constrained monotone operator equations and sparse signal reconstruction problems

M Abdullahi, AB Abubakar, A Sulaiman… - The Journal of …, 2024 - Springer
We propose an efficient three-term projection method for solving convex-constrained
nonlinear monotone equations, with applications to sparse signal reconstruction problems …

A projection method for solving monotone nonlinear equations with application

G Abbass, H Chen, M Abdullahi, MA Baba… - Physica Scripta, 2023 - iopscience.iop.org
Nonlinear equations are one of the most trending research areas due to their vast
applications in the sciences, social sciences, and engineering. However, the conjugate …

A hybrid BFGS-Like method for monotone operator equations with applications

AB Abubakar, P Kumam, H Mohammad… - … of Computational and …, 2024 - Elsevier
In this paper, a hybrid three-term conjugate gradient (CG) method is proposed to solve
constrained nonlinear monotone operator equations. The search direction is computed such …

An improved spectral conjugate gradient projection method for monotone nonlinear equations with application

SB Salihu, AS Halilu, M Abdullahi, K Ahmed… - Journal of Applied …, 2024 - Springer
In this paper, we propose an enhanced spectral conjugate gradient (CG) projection method
for solving monotone nonlinear equations with application in signal processing. The …

A new approximate descent derivative-free algorithm for large-scale nonlinear symmetric equations

X Wang - Computational and Applied Mathematics, 2024 - Springer
In this paper, an approximate descent three-term derivative-free algorithm is developed for a
large-scale system of nonlinear symmetric equations where the gradients and the difference …

An efficient projection algorithm for large-scale system of monotone nonlinear equations with applications in signal recovery

G Abbass, H Chen, M Abdullahi… - Journal of Industrial …, 2024 - aimsciences.org
The hybrid conjugate gradient (CG) method, recently proposed by authors in [11] for solving
unconstrained optimization problems, has gained attention. This approach shares …