A NOVEL FORMULA FOR CONJUGATE GRADIENT METHOD IMPULSE NOISE REDUCTION FROM IMAGES

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, College of Computers Sciences and Mathematics, University of Mosul, Iraq.

2 Department of Mathematics, College of Computers Sciences and Mathematics,University of Mosul, Iraq.

Abstract

The main emphasis in conjugate gradient methods is usually on the conjugate formula. This research introduces a novel coefficient for the conjugate gradient approach, based on Perry’s conjugacy
condition and a quadratic model, aimed at addressing image restoration difficulties. The algorithms
demonstrate global convergence and possess the essential property of descent. The new approach
showed a considerable enhancement through numerical experimentation. It has been proven that the
inventive conjugate gradient method performs superiorly compared to the traditional FR conjugate
gradient technique. The new method displayed a significant improvement through numerical testing.
It has been illustrated that the innovative conjugate gradient technique outperforms the conventional
FR conjugate gradient method.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 09 November 2025

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History

  • Receive Date: 08 October 2025
  • Accept Date: 05 November 2025

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