Modified three-term derivative-free projection method for solving nonlinear monotone equations with application

M Abdullahi, AB Abubakar, K Muangchoo - Numerical Algorithms, 2024 - Springer
In this paper, we propose a new modification of a three-term derivative-free projection
algorithm for solving a system of monotone nonlinear equations. The global convergence …

Accelerated derivative‐free method for nonlinear monotone equations with an application

A Hassan Ibrahim, P Kumam… - … Linear Algebra with …, 2022 - Wiley Online Library
In optimization theory, to speed up the convergence of iterative procedures, many
mathematicians often use the inertial extrapolation method. In this article, based on the three …

[HTML][HTML] Projection method with inertial step for nonlinear equations: application to signal recovery

AH Ibrahim, P Kumam, M Sun… - Journal of Industrial …, 2022 - aimsciences.org
In this paper, using the concept of inertial extrapolation, we introduce a globally convergent
inertial extrapolation method for solving nonlinear equations with convex constraints for …

A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration

A Hassan Ibrahim, P Kumam, BA Hassan… - … Journal of Computer …, 2022 - Taylor & Francis
In this paper, a derivative-free Hestenes–Stielfel type method is proposed to solve large-
scale nonlinear equations with convex constraints. The proposed method adopts the line …

Inertial derivative-free projection method for nonlinear monotone operator equations with convex constraints

AB Abubakar, P Kumam, AH Ibrahim - IEEE Access, 2021 - ieeexplore.ieee.org
In this paper, we propose an inertial derivative-free projection method for solving convex
constrained nonlinear monotone operator equations (CNME). The method incorporates the …

[HTML][HTML] A three-term Polak-Ribière-Polyak derivative-free method and its application to image restoration

AH Ibrahim, J Deepho, AB Abubakar, A Adamu - Scientific African, 2021 - Elsevier
In this paper, a derivative-free method for solving convex constrained nonlinear equations
involving a monotone operator with a Lipschitz condition imposed on the underlying …

[PDF][PDF] Derivative-free SMR conjugate gradient method for con-straint nonlinear equations

AH Ibrahima, K Muangchoob… - … of Mathematics and …, 2022 - researchgate.net
Based on the SMR conjugate gradient method for unconstrained optimization proposed by
Mohamed et al.[NS Mohamed, M. Mamat, M. Rivaie, SM Shaharuddin, Indones. J. Electr …

A new black box method for monotone nonlinear equations

AH Ibrahim, M Kimiaei, P Kumam - Optimization, 2023 - Taylor & Francis
This paper discusses a new derivative-free line search method for nonlinear monotone
equations. It uses a derivative-free direction based on Dai–Liao method, along which an …

A hybrid approach for finding approximate solutions to constrained nonlinear monotone operator equations with applications

AB Abubakar, P Kumam, H Mohammad… - Applied Numerical …, 2022 - Elsevier
In this article, a hybrid approach technique incorporated with three-term conjugate gradient
(CG) method is proposed to solve constrained nonlinear monotone operator equations. The …

[PDF][PDF] A modified liu-storey-conjugate descent hybrid projection method for convex constrained nonlinear equations and image restoration

AH Ibrahim, J Deepho, AB Abubakar… - Numer. Alg. Cont …, 2021 - researchgate.net
We present an iterative method for solving the convex constraint nonlinear equation
problem. The method incorporates the projection strategy by Solodov and Svaiter with the …