Ultra-Formulas for Conjugate Gradient Impulse Noise Reduction from Images

Basim A.  Hassan; Mohammed W.  Taha

doi:10.24996/ijs.2026.67.1.22

Authors

Basim A. Hassan Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Nineveh, Iraq
Mohammed W. Taha Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Nineveh, Iraq

DOI:

https://doi.org/10.24996/ijs.2026.67.1.22

Keywords:

Adjusting parameters gradient, Theoretical analysis, Image restoration problems, Optimization, Gradient methods

Abstract

In this research, a new coefficient of conjugate gradient technique is identified which is used for solving issues related to image restoration. This coefficient is derived using Perry's conjugacy condition and the quadratic model. The algorithms have been shown to exhibit global convergence and possess the descent property. Through numerical testing, the new method demonstrated a significant improvement. It has been shown that the innovative conjugate gradient method works better than the conventional FR conjugate gradient technique.

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Published

2026-01-30

Issue

Vol 67 No 1 (2026)

Section

Mathematics

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

[1]

B. A. . Hassan and M. W. . Taha, “Ultra-Formulas for Conjugate Gradient Impulse Noise Reduction from Images”, Iraqi Journal of Science, vol. 67, no. 1, pp. 276–285, Jan. 2026, doi: 10.24996/ijs.2026.67.1.22.