Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: A combination of two conjugate gradient methods under a new line search with its application in image restoration problems
Creator:
Maiza, Asma ; Ziadi, Raouf ; Saleh, Mohammed A. ; Almaymuni, Abdulgader Z.
Date:
Resource Type:
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
A combined conjugate gradient algorithm is introduced for solving unconstrained optimization problems. In the suggested approach, the conjugate gradient parameter is defined as a combination of PRP (Polak-Ribiére-Polyak) and BRB (Rahali- Belloufi-Benzine) conjugate gradient parameters. To improve the convergence properties, we have adopted a new inexact line search technique that fits in with the suggested approach. The proposed line search technique can be useful for other gradient descent methods. ; We have established the existence of a step length that meets the new line search conditions. The generated descent direction and the convergence properties of the suggested approach are studied under the new line search conditions and the proposed method converges globally under mild assumptions. Our approach is evaluated on various test functions, and a comparison with similar recent algorithms is carried out. Furthermore, the proposed algorithm is applied for restoring images with different noise levels.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 35, number 2 (2025) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2025)
Last modified:
Aug 7, 2025
In our library since:
Aug 7, 2025
Number of object content hits:
15
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/101989
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 35, number 1 (2025)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 35, number 2 (2025)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 35, number 3 (2025)
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