A Dai-Kou-Type method with image de-blurring application

A Dai-Kou-Type method with image de-blurring application

By exploiting nice attributes of three-term conjugate gradient (TTCG) methods and the efficiency of the Dai-Kou scheme, this paper proposes a spectral class of Dai-Kou-type methods for monotone systems with convex constraints. The scheme combines a modified Dai-Kou search direction with the project...

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Bibliographic Details
Main Authors: K. Ahmed, M. Y. Waziri, A. S. Halilu, I. A. R. Moghrab, H. Abdullahi, S. M. Ibrahim, Y. B. Musa, S. Murtala, A. M. Awwal, A. Sambas
Format: Article
Language:English
Published: Nigerian Society of Physical Sciences 2025-08-01
Series:Journal of Nigerian Society of Physical Sciences
Subjects:
Nonlinear monotone systems
Spectral parameter
Image de-blurring
Convex constraint
Online Access:https://journal.nsps.org.ng/index.php/jnsps/article/view/2569
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Summary:By exploiting nice attributes of three-term conjugate gradient (TTCG) methods and the efficiency of the Dai-Kou scheme, this paper proposes a spectral class of Dai-Kou-type methods for monotone systems with convex constraints. The scheme combines a modified Dai-Kou search direction with the projection method and can best be described as an adaptation of the Dai-Kou method to nonlinear systems. An important contribution of the scheme is its application to image de-blurring. The method is shown to converge globally under mild assumptions. Furthermore, test results of some numerical experiments suggest that the proposed approach outperforms three recent schemes for convex constrained monotone systems.
ISSN:2714-2817
2714-4704

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