Semilocal Convergence Newton Method Applied to Kepler Equation: New Results

Diloné, M and Gutiérrez, J and Veras, E (2017) Semilocal Convergence Newton Method Applied to Kepler Equation: New Results. British Journal of Mathematics & Computer Science, 21 (3). pp. 1-13. ISSN 22310851

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Abstract

The aim of this paper is to consider as a starting point the value E0 = π in the theorems of semilocal convergence of Kantorovich, Gutiérrez, α−theory of Smale and the α−theory of Wang-Zhao, to compare the convergence conditions obtained. Once set E0, one should calculate the parameters listed in the statement of these theorem. So, we will generalize the study of Diloné-Gutiérrez for the case E0 = M.
Numeric and graphic calculations were obtained by applying Mathematica V10.

Item Type: Article
Subjects: Pustaka Library > Computer Science
Depositing User: Unnamed user with email support@pustakalibrary.com
Date Deposited: 10 May 2023 11:04
Last Modified: 29 Jan 2024 06:25
URI: http://archive.bionaturalists.in/id/eprint/844

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