Semilocal Convergence Newton Method Applied to Kepler Equation: New Results
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 21, Issue 3
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, Gutierrez, 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 Dilone-Gutierrez for the case E0 = M. Numeric and graphic calculations were obtained by applying Mathematica V10.
Authors and Affiliations
M. A. Dilone, J. M. Gutierrez, E. Veras
Keywords
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- EP ID EP322083
- DOI 10.9734/BJMCS/2017/30928
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