The global convergence of spectral RMIL conjugate gradient method for unconstrained optimization with applications to robotic model and image recovery

N Salihu, P Kumam, AM Awwal, IM Sulaiman… - Plos one, 2023 - journals.plos.org
In 2012, Rivaie et al. introduced RMIL conjugate gradient (CG) method which is globally
convergent under the exact line search. Later, Dai (2016) pointed out abnormality in the …

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 …

An efficient Newton-like conjugate gradient method with restart strategy and its application

N Salihu, P Kumam, IM Sulaiman, I Arzuka… - … and Computers in …, 2024 - Elsevier
In an attempt to enhance the theoretical structure of the Hestenes and Stiefel (HS) conjugate
gradient method, several modifications of the method are provided, most of which rely on a …

A revised Liu–Storey conjugate gradient parameter for unconstrained optimization problems with applications

N Salihu, P Kumam, M Muhammad Yahaya… - Engineering …, 2024 - Taylor & Francis
Conjugate Gradient (CG) methods are renowned for their efficiency and low memory
requirements when solving optimization problems. However, certain formulations of CG …

Modified spectral conjugate gradient iterative scheme for unconstrained optimization problems with application on COVID-19 model

F Novkaniza, M Malik, IM Sulaiman… - Frontiers in Applied …, 2022 - frontiersin.org
In this work, a new class of spectral conjugate gradient (CG) method is proposed for solving
unconstrained optimization models. The search direction of the new method uses the ZPRP …

A Family of Developed Hybrid Four-Term Conjugate Gradient Algorithms for Unconstrained Optimization with Applications in Image Restoration

E Ali, S Mahdi - Symmetry, 2023 - mdpi.com
The most important advantage of conjugate gradient methods (CGs) is that these methods
have low memory requirements and convergence speed. This paper contains two main …

Some combined techniques of spectral conjugate gradient methods with applications to robotic and image restoration models

N Salihu, P Kumam, SM Ibrahim, W Kumam - Numerical Algorithms, 2024 - Springer
The spectral conjugate gradient (SCG) methods ensure the descent property of an iterative
scheme by scaling the first term of the search direction in a conjugate gradient (CG) method …

A Modified Wei-Yao-Liu Conjugate Gradient Method for Unconstrained Optimization and Motion Control of Robotic Motion Manipulators

SN Alsuliman, NF Ibrahim… - Journal of Advanced …, 2024 - semarakilmu.com.my
The WYL-type conjugate gradient (CG) iterative formulas have been widely studied by
researchers because of their effective and robust algorithms as well as less memory …

New CG-Based Algorithms with Second-Order Curvature Information for NLS Problems and a 4DOF Arm Robot Model

RB Yunus, N Zainuddin, H Daud, R Kannan… - IEEE …, 2024 - ieeexplore.ieee.org
This article develops two new algorithms of three-term conjugate gradient (TTCG)
coefficients to handle nonlinear least-squares (NLS) problems using the structured secant …

A sufficient descent hybrid conjugate gradient method without line search consideration and application

N Salihu, P Kumam, SM Ibrahim… - Engineering …, 2024 - emerald.com
Purpose Previous RMIL versions of the conjugate gradient method proposed in literature
exhibit sufficient descent with Wolfe line search conditions, yet their global convergence …