A new class of quasi-Newton updating formulas for unconstrained optimization

BA Hassan, MA Kahya - Journal of Interdisciplinary Mathematics, 2021 - Taylor & Francis
Problems of sciences concerned with minimizing an objective function that depends on real
values without restrictions on there is called unconstrained optimization problems. Quasi …

[PDF][PDF] An improved quasi-Newton equation on the quasi-Newton methods for unconstrained optimizations

BA Hassan, K Muangchoo, F Alfarag… - Indonesian Journal of …, 2021 - academia.edu
Quasi-Newton methods are a class of numerical methods for solving the problem of
unconstrained optimization. To improve the overall efficiency of resulting algorithms, we use …

[PDF][PDF] Two-versions of descent conjugate gradient methods for large-scale unconstrained optimization

HN Jabbar, BA Hassan - Indonesian Journal of Electrical …, 2021 - pdfs.semanticscholar.org
The conjugate gradient methods are noted to be exceedingly valuable for solving large-
scale unconstrained optimization problems since it needn't the storage of matrices. Mostly …

[PDF][PDF] A new parameter in three-term conjugate gradient algorithms for unconstrained optimization

AS Ahmed, HM Khudhur… - Indones. J. Electr. Eng …, 2021 - pdfs.semanticscholar.org
In this study, we develop a different parameter of three term conjugate gradient kind, this
scheme depends principally on pure conjugacy condition (PCC), Whereas, the conjugacy …

[PDF][PDF] Modified three-term conjugate gradient algorithm and its applications in image restoration

YI Ibrahim, HM Khudhur - Indonesian Journal of Electrical …, 2022 - academia.edu
In image restoration, the goal is often to bring back a high-quality version of an image from a
lower-quality copy of it. In this article, we will investigate one kind of recovery issue, namely …

A modified secant equation quasi-Newton method for unconstrained optimization

BA Hassan, IAR Moghrabi - Journal of Applied Mathematics and …, 2023 - Springer
One of the most prominent iterative approaches for solving unconstrained optimization
problems is the quasi-Newton method. Their fast convergence and exceptional precision …

[PDF][PDF] A new class of self-scaling for quasi-Newton method based on the quadratic model

BA Hassan, RM Sulaiman - Indonesian Journal of Electrical …, 2021 - academia.edu
Quasi-Newton method is an efficient method for solving unconstrained optimization
problems. Self-scaling is one of the common approaches in the modification of the quasi …

[PDF][PDF] Modification of the new conjugate gradient algorithm to solve nonlinear fuzzy equations

ZM Abdullah, HM Khudhur, AK Ahmed - Indonesian Journal of …, 2022 - academia.edu
The conjugate gradient approach is a powerful tool that is used in a variety of areas to solve
problems involving large-scale reduction. In this paper, we propose a new parameter in …

A non-secant quasi-newton method for unconstrained nonlinear optimization

IAR Moghrabi - Cogent Engineering, 2022 - Taylor & Francis
The Secant equation has long been the foundation of quasi-Newton methods, as updated
Hessian approximations satisfy the equation with each iteration. Several publications have …

An adaptive quasi-newton equation for unconstrained optimization

BA Hassan, AR Ayoob - … To Enhance e-learning and Other …, 2021 - ieeexplore.ieee.org
The quasi-Newton methods is an effective and interesting methods and their good accuracy
for unconstrained optimization. In this paper, a novel quasi-Newton equation is given based …