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Generalized RMIL conjugate gradient method under the strong Wolfe line search with application in image processing
RMIL conjugate gradient method originally proposed by Rivaie et al. (2012) has recently gained lots of attention. In this article, we propose a generalized conjugate gradient parameter that contains both RMIL and its variant, that is, RMIL+, as special cases. We show that the search direction genera...
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| Published in: | Mathematical methods in the applied sciences 2023-11, Vol.46 (16), p.17544-17556 |
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| Main Authors: | , , , , , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c289t-bbbd91dff89f0a2b9b3aadbbb0e298ae3462ef3dcd0974f5762b0a386cded7e43 |
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| cites | cdi_FETCH-LOGICAL-c289t-bbbd91dff89f0a2b9b3aadbbb0e298ae3462ef3dcd0974f5762b0a386cded7e43 |
| container_end_page | 17556 |
| container_issue | 16 |
| container_start_page | 17544 |
| container_title | Mathematical methods in the applied sciences |
| container_volume | 46 |
| creator | Awwal, Aliyu Muhammed Wang, Lin Kumam, Poom Sulaiman, Mohammed Ibrahim Salisu, Sani Salihu, Nasiru Yodjai, Petcharaporn |
| description | RMIL conjugate gradient method originally proposed by Rivaie et al. (2012) has recently gained lots of attention. In this article, we propose a generalized conjugate gradient parameter that contains both RMIL and its variant, that is, RMIL+, as special cases. We show that the search direction generated by the new method is sufficiently descent. Under standard mild conditions, we discuss the convergence analysis of the propose method. We demonstrate the numerical efficiency of the propose method on a set of unconstrained minimization benchmark test problems as well as an image restoration problem. The results of the experiment reveal that the proposed method performs better than its main competitors. |
| doi_str_mv | 10.1002/mma.9515 |
| format | article |
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| ispartof | Mathematical methods in the applied sciences, 2023-11, Vol.46 (16), p.17544-17556 |
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| language | eng |
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| source | Wiley-Blackwell Read & Publish Collection |
| subjects | Conjugate gradient method Image processing Image restoration |
| title | Generalized RMIL conjugate gradient method under the strong Wolfe line search with application in image processing |
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