Modification of the family three-point iterative method for refinement of simple roots of monotonic nonsmooth function
Abstract
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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Copyright (c) 2015 Г. А. Шелудько, С. В. Угримов
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