Impact to formula gradient impulse noise reduction from images

Jun 12, 2025

Journal Journal of Interdisciplinary Mathematics

publisher Issam H. Halil, Yeldez J. Subhi, Basim A. Hassan

DOI 10.47974/JIM-2187

Volume 28 (2025), No. 4, pp. 1635–1642

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, the novel formula satisfies the convergence properties. Lastly, we provide a few illustrations of picture restoration using the suggested conjugate gradient technique. Subject Classification

Solving single variable functions using a new secant method

Feb 13, 2025

Journal Journal of Interdisciplinary Mathematics

publisher Hawraz N. Jabbar $ /Yeldez J. Subhi @ / Hakeem N. Hussein * Basim A. Hassan ^

DOI 10.47974/JIM-1854

Issue 0972-0502 (Print), ISSN: 2169-012X (Online)

Volume 28 (2025), No. 1, pp. 245–251

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 approach in this study that is based on estimating the second derivative information. The convergence of the novel secant type iterative approach is of order

On new secant-method for minimum functions of one variable

Feb 13, 2025

Journal Journal of Interdisciplinary Mathematics

publisher Ali M. Jasim, Yeldez J. Subhi, Basim A. Hassan

DOI 10.47974/JIM-1899

Volume 28 (2025), No. 1, pp. 291–296

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 obtain the optimal solution of the function. We compare the execution time and number of iterations between the proposed approach and the classical

Enhancements Self-Scaling Quasi-Newton for Unconstrained Optimization

Sep 27, 2024

Journal Advances in Nonlinear Variational Inequalities

publisher Basim A. Hassan1, Hakeem N. Hussein, Yeldez J. Subhi2 , Yoksal A. Laylani3, Hawraz N. Jabbar3, Mohammed W. Taha4

DOI https://doi.org/10.52783/anvi.v27.974

Issue Vol. 27 No. 2 (2024)

Volume 27 No. 2 (2024)

A self-scaling for the quasi-Newton tecnique is derive by using a second_order Taylor's expansion to achieve optimal computational performance. Following this, new updating formulas for the quasi-Newton method are introduced based on the newly derived self-scaling equation. The numerical results confirm this derivation and suggest that the new method could potentially rival the BFGS method in terms of performance

Image Impulse Noise Reduction Using a Conjugate Gradient of Alternative Parameter

Jul 30, 2023

Journal EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS

publisher Hawraz N. Jabbar1, Yeldez J. Subhi2, Basim A. Hassan3

DOI https://doi.org/10.29020/nybg.ejpam.v16i3.4849

Volume 16, No. 3, 2023, 1624-1633

Conjugate gradient approaches emphasise the conjugate formula. This study creates a new conjugate coefficient for the conjugate gradient approach to restore pictures using Perry’s conjugacy condition and a quadratic model. Algorithms have global convergence and descent. The new technique performed better in numerical testing. The new conjugate gradient technique outperforms the FR method. The new technique performed better in numerical testing. The new conjugate gradient technique outperforms the FR method