Modification of the family three-point iterative method for refinement of simple roots of monotonic nonsmooth function
The localization of the root of a convex function by discrete three-point methods is considered. The analysis of existing free-derivatives methods is carried out. Modifications based on the simple procedure of "rapprochement" of the characteristic points of the Lagrange-Hermite are propose...
Збережено в:
| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Russian |
| Опубліковано: |
Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України
2015
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| Теми: | |
| Онлайн доступ: | https://journals.uran.ua/jme/article/view/48061 |
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| Назва журналу: | Energy Technologies & Resource Saving |
Репозиторії
Energy Technologies & Resource Saving| Резюме: | The localization of the root of a convex function by discrete three-point methods is considered. The analysis of existing free-derivatives methods is carried out. Modifications based on the simple procedure of "rapprochement" of the characteristic points of the Lagrange-Hermite are proposed. The idea of rapprochement is implemented numerous schemes and confirmed by numerical experiments on a representative set of test functions with different structures. It is found that due to this procedure can relatively easily improve the efficiency of conventional search localization tools. |
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