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IMPROVING CONJUGATE GRADIENT METHOD BY USING THE GOLDEN RATIO IN OPTIMIZATION | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 14 مرداد 1405 اصل مقاله (1.1 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.72873.3692 | ||
| نویسندگان | ||
| Layla Hadi Jwear1؛ Yeldez J. Subhi2؛ Basim Abbas Hassan* 3 | ||
| 1Department of Family and Community Medicine, College of Medicine, University of Mosul, Iraq. | ||
| 2Department of Renewable Energy Techniques Engineering, College of Oil and Gas Techniques Engineering, Northern Technical University, Iraq. | ||
| 3Department of Mathematics, College of Computers Sciences and Mathematics, University of Mosul, Iraq. | ||
| چکیده | ||
| Conjugate gradient techniques have been applied extensively to minimization problems. Conventional approaches use the gradient of the goal function to determine the search directions. Conjugate gradient methods that primarily consider the Golden Ratio (0.618) are proposed in this study. We demonstrate their worldwide convergence and provide numerical comparisons with traditional techniques. The findings demonstrate that one of our solutions outperforms the ideal traditional method using the Fletcher and Reeves formula with a little direction change. | ||
| کلیدواژهها | ||
| Golden Ratio؛ Novel conjugate gradient؛ Numerical results | ||
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آمار تعداد مشاهده مقاله: 30 تعداد دریافت فایل اصل مقاله: 48 |
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