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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| Main Authors: | , , , , , , , , , |
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| Format: | Article |
| Language: | English |
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Nigerian Society of Physical Sciences
2025-08-01
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| Series: | Journal of Nigerian Society of Physical Sciences |
| Subjects: | |
| Online Access: | https://journal.nsps.org.ng/index.php/jnsps/article/view/2569 |
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| author | 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 |
| author_facet | 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 |
| author_sort | K. Ahmed |
| collection | DOAJ |
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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.
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| format | Article |
| id | doaj-art-e5a9628ae9e7476ab194b5c6ae7fddc6 |
| institution | OA Journals |
| issn | 2714-2817 2714-4704 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Nigerian Society of Physical Sciences |
| record_format | Article |
| series | Journal of Nigerian Society of Physical Sciences |
| spelling | doaj-art-e5a9628ae9e7476ab194b5c6ae7fddc62025-08-20T02:39:03ZengNigerian Society of Physical SciencesJournal of Nigerian Society of Physical Sciences2714-28172714-47042025-08-017310.46481/jnsps.2025.2569A Dai-Kou-Type method with image de-blurring applicationK. Ahmed M. Y. WaziriA. S. HaliluI. A. R. MoghrabH. AbdullahiS. M. IbrahimY. B. MusaS. MurtalaA. M. AwwalA. Sambas 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. https://journal.nsps.org.ng/index.php/jnsps/article/view/2569Nonlinear monotone systems Spectral parameterImage de-blurringConvex constraint |
| spellingShingle | 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 A Dai-Kou-Type method with image de-blurring application Journal of Nigerian Society of Physical Sciences Nonlinear monotone systems Spectral parameter Image de-blurring Convex constraint |
| title | A Dai-Kou-Type method with image de-blurring application |
| title_full | A Dai-Kou-Type method with image de-blurring application |
| title_fullStr | A Dai-Kou-Type method with image de-blurring application |
| title_full_unstemmed | A Dai-Kou-Type method with image de-blurring application |
| title_short | A Dai-Kou-Type method with image de-blurring application |
| title_sort | dai kou type method with image de blurring application |
| topic | Nonlinear monotone systems Spectral parameter Image de-blurring Convex constraint |
| url | https://journal.nsps.org.ng/index.php/jnsps/article/view/2569 |
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