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Souli, Choubeila, Ziadi, Raouf, Bencherif-Madani, Abdelatif, Khudhur, Hisham. (1403). A hybrid CG algorithm for nonlinear unconstrained optimization with application in image restoration. فیزیولوژی و بیوتکنولوژی آبزیان, 12(2), 301-317. doi: 10.22124/jmm.2024.26151.2317
Choubeila Souli; Raouf Ziadi; Abdelatif Bencherif-Madani; Hisham Mohammed Khudhur. "A hybrid CG algorithm for nonlinear unconstrained optimization with application in image restoration". فیزیولوژی و بیوتکنولوژی آبزیان, 12, 2, 1403, 301-317. doi: 10.22124/jmm.2024.26151.2317
Souli, Choubeila, Ziadi, Raouf, Bencherif-Madani, Abdelatif, Khudhur, Hisham. (1403). 'A hybrid CG algorithm for nonlinear unconstrained optimization with application in image restoration', فیزیولوژی و بیوتکنولوژی آبزیان, 12(2), pp. 301-317. doi: 10.22124/jmm.2024.26151.2317
Souli, Choubeila, Ziadi, Raouf, Bencherif-Madani, Abdelatif, Khudhur, Hisham. A hybrid CG algorithm for nonlinear unconstrained optimization with application in image restoration. فیزیولوژی و بیوتکنولوژی آبزیان, 1403; 12(2): 301-317. doi: 10.22124/jmm.2024.26151.2317

A hybrid CG algorithm for nonlinear unconstrained optimization with application in image restoration

Journal of Mathematical Modeling
مقاله 8، دوره 12، شماره 2، مهر 2024، صفحه 301-317    اصل مقاله (7.88 M)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2024.26151.2317
نویسندگان
Choubeila Souli1؛ Raouf Ziadi* 1؛ Abdelatif Bencherif-Madani1؛ Hisham Mohammed Khudhur2
1Laboratory of Fundamental and Numerical Mathematics (LMFN), University Ferhat Abbas Setif 1, Algeria
2Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq
چکیده
This paper presents a new hybrid conjugate gradient method for solving  nonlinear unconstrained optimization problems; it is based on a combination of $RMIL$  (Rivaie-Mustafa-Ismail-Leong)  and $hSM$  (hybrid Sulaiman- Mohammed) methods. The proposed algorithm enjoys the sufficient descent condition without depending on any line search; moreover, it is globally convergent under the usual and strong Wolfe line search assumptions.  The performance of the algorithm is demonstrated through numerical experiments on a set of 100 test functions from [1] and four image restoration problems with two noise levels. The numerical comparisons with four existing methods show that the proposed method is promising and effective.
کلیدواژه‌ها
Unconstrained optimization؛ Hybrid conjugate gradient؛ Global convergence؛ Image restoration
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