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...

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Збережено в:
Бібліографічні деталі
Дата:2015
Автори: Шелудько, Г. А., Угримов, С. В.
Формат: Стаття
Мова:Russian
Опубліковано: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2015
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Онлайн доступ:https://journals.uran.ua/jme/article/view/48061
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Назва журналу:Energy Technologies & Resource Saving

Репозитарії

Energy Technologies & Resource Saving
Опис
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.