[HTML][HTML] A review of classical methods and Nature-Inspired Algorithms (NIAs) for optimization problems

PK Mandal - Results in Control and Optimization, 2023 - Elsevier
Optimization techniques are among the most promising methods to deal with real-world
problems, consisting of several objective functions and constraints. Over the decades, many …

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 …

A new family of hybrid three-term conjugate gradient method for unconstrained optimization with application to image restoration and portfolio selection

M Malik, IM Sulaiman, AB Abubakar… - AIMS …, 2023 - aimspress.com
The conjugate gradient (CG) method is an optimization method, which, in its application, has
a fast convergence. Until now, many CG methods have been developed to improve …

[HTML][HTML] Efficient hybrid conjugate gradient techniques for vector optimization

J Yahaya, P Kumam - Results in Control and Optimization, 2024 - Elsevier
Scalarization approaches transform vector optimization problems (VOPs) into single-
objective optimization but have trade-offs: information loss, subjective weight assignments …

[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 …

[HTML][HTML] A Liu-Storey-type conjugate gradient method for unconstrained minimization problem with application in motion control

AB Abubakar, M Malik, P Kumam, H Mohammad… - Journal of King Saud …, 2022 - Elsevier
Conjugate gradient methods have played a vital role in finding the minimizers of large-scale
unconstrained optimization problems due to the simplicity of their iteration, convergence …

A family of hybrid conjugate gradient method with restart procedure for unconstrained optimizations and image restorations

X Jiang, X Ye, Z Huang, M Liu - Computers & Operations Research, 2023 - Elsevier
Conjugate gradient method is one of the most effective methods for solving large-scale
optimization problems. Based on the CD conjugate parameter and an improved PRP …

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 …

A new hybrid CGPM-based algorithm for constrained nonlinear monotone equations with applications

G Ma, L Liu, J Jian, X Yan - Journal of Applied Mathematics and …, 2024 - Springer
The conjugate gradient projection method (CGPM) has good theoretical properties and
numerical performance for solving large-scale nonlinear monotone equations with convex …

A derivative‐free projection method for nonlinear equations with non‐Lipschitz operator: Application to LASSO problem

AH Ibrahim, P Kumam, AB Abubakar… - … Methods in the …, 2023 - Wiley Online Library
In this paper, we introduce a derivative‐free iterative method for finding the solutions of
convex constrained nonlinear equations (CCNE) using the projection strategy. The new …