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An improved nonlinear conjugate gradient method and its application to satellite image restoration | ||
| Journal of Mathematical Modeling | ||
| دوره 14، شماره 3، آبان 2026، صفحه 941-951 اصل مقاله (1.47 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.30611.2744 | ||
| نویسندگان | ||
| Atefe Bay* 1؛ Zohreh Akbari2 | ||
| 1Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran | ||
| 2Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Mazandran, Babolsar, Iran | ||
| چکیده | ||
| In this paper, an improved nonlinear conjugate gradient method is proposed for solving unconstrained optimization problems. Due to the high computational cost of Newton-type methods, conjugate gradient methods have emerged as efficient alternatives for large-scale problems. However, their performance heavily depends on the choice of search directions and algorithmic parameters. In the proposed method, a novel parameter and a modified search direction are introduced to ensure sufficient descent at each iteration. Global convergence of the method is established under standard assumptions. Numerical experiments on satellite image restoration demonstrate the superiority of the proposed method over the Polak–Ribiere–Polyak method in terms of noise reduction and image quality enhancement. | ||
| کلیدواژهها | ||
| Nonlinear conjugate gradient method؛ unconstrained optimization؛ global convergence؛ image restoration | ||
| مراجع | ||
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