Department of Mathematics College of Computer Sciences and Mathematics University of Mosul, Mosul, 41002, Iraq
Ranen M. Sulaimin, Basim A. Hassan
In this paper: Utilizing strategies based on conjugate gradients and carefully choosing a suitable coefficient conjugate might lead to the production of exceptional outcomes. In this work, a modified version of the...
Yeldez J. Subhi, Basim A. Hassan
In this paper: For the majority of image processing techniques and applications, denoising a photo is a must. The Taylor series is used to suggest a new conjugate gradient scalar. Together with the descent property,...
Basim A. Hassan, Ahmed W. Mohammed
In this paper: A variety of quasi-Newton approaches all have their roots in the quasi-Newton equation. We thus obtain the updated BFGS quasi-Newton updating formulas using the provided alternative equation. In our s...
Basim A. Hassan, Mohammed W. Taha
In this paper: A conjugate mode is generally the main focus of conjugate_gradient approaches. During image restoration, the conjugate gradient method is utilized to fix issues. Using the quadratic model creates a ne...
Hawraz N. Jabbar, Ali A. Al-Arbo, Yoksal A. Laylani, Hisham M. Khudhur, Basim A. Hassan
In this paper: Conjugate gradient (CG) algorithms are an optimization method with fast convergence. To date, several CG methods have been developed to improve computational performance and have been used to solve un...
Basim A. Hassan, Ahmed W. Mohammed
In this paper: Many quasi-Newton techniques are built on the quasi-Newton’s equation. We are able to get the updated BFGS quasi-Newton updating equations by using the proposed alternative equation. In this study, a...
Yoksal A. Laylani, Suaad M. Abdullah, Basim A. Hassan
In this paper: The classical Newtonian method is the most often used in single-variable scenarios. The second-order Taylor expansion, which the new secant technique is built on, does away with the need to compute th...
Yoksal A. Laylani, Suaad M. Abdullah, Basim A. Hassan
In this paper: The advancement of the second approximation is employed to introduce a modified version of the popular Secant technique, which is used to solve nonlinear optimization problems involving a single varia...
Basim A. Hassan, Mohammed W. Taha
In this paper: In most image processing processes that are utilized in most applications, denoising an image is a basic step. A two-phase conjugate gradient is used in our study to provide a method for reducing impu...
Hawraz N. Jabbar, Yeldez J. Subhi, Basim A. Hassan
In this paper: The quadratically convergent Newton method is a fundamental and significant approach for solving one-variable functions. In order to solve a single minimization issue, we deduce a novel secant type ap...
Ali M. Jasim, Yeldez J. Subhi, Basim A. Hassan
In this paper: In this article, we developed the Newton method by utilizing the Taylor series to estimate derivatives based on the function’s minimum value. The aim was to reduce the number of iterations required to...
Basim A. Hassan, Yousif Ali Mohammed
In this paper: Conjugate gradient approaches focus on the conjugate of the coefficient. In this study, we provide an innovative coefficient conjugate gradient approach for eliminating impulse noise pictures using th...
Basim A. Hassan, Marwa Muthana Mohammed
In this paper: The conjugate gradient approach is fascinating when applied to mathematical formulations. An innovative formula based on curvature needs has been developed. In contrast to the Dai-Liao method, which u...
Basim A. Hassan, Hawraz N. Jabbar, Yoksal A. Laylani
In this paper: An effective iterative technique, conjugate gradient algorithm is based on the conjugate gradient parameters. By satisfying the conjugacy requirement, one may construct an effective parameters conjuga...
Basim A. Hassan, Abdulameer A. Saad
In this paper: Using the conjugacy condition and second-order Taylor expansion, we present a new formula in this paper. The novel formula, unlike traditional conjugate gradient approaches, utilizes information on av...
Basim A. Hassan, Abdulameer A. Saad
In this paper: The coefficient conjugate is often the subject of conjugate gradient techniques. In this work, we use the quadratic function to unconstrained optimization problems and construct an unique coefficient...
Barah M. Sulaiman, Basim A. Hassan, Ranen M. Sulaiman
In this paper: In single variable situations, the traditional Newton’s approaches are the most popular. The new secant approach is based on the 2nd order Taylor expansion, which eliminates the necessity to compute t...
Basim A. Hassan, Hawraz N. Jabbar
In this paper: The quasi-Newton plays a basic role in constructing the Hessian approximation, and quasi-Newton algorithms are built based on it. In this paper, a new class quasi-Newton equation is presented. The pro...
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