Two-sided approximation for some Newton’s type methods

Autor:	T. Zhanlav, Vandandoo Ulziibayar, Ochbadrakh Chuluunbaatar
Rok vydání:	2014
Předmět:	Approximations of π Applied Mathematics Mathematical analysis Newton's method in optimization Steffensen's method Local convergence Computational Mathematics symbols.namesake Nonlinear system Newton fractal symbols Newton's method CFD-DEM Mathematics
Zdroj:	Applied Mathematics and Computation. 236:239-246
ISSN:	0096-3003
DOI:	10.1016/j.amc.2014.03.068
Popis:	We suggest and analyze a combination of a damped Newton’s method and a simplified version of Newton’s one. We show that the proposed iterations give two-sided approximations of the solution which can be efficiently used as posterior estimations. Some numerical examples illustrate the efficiency and performance of the method proposed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::91f62d1f5181a0a09a67a8f283636d14 https://doi.org/10.1016/j.amc.2014.03.068 Zobrazit plný text záznamu Full Text from ScienceDirect