Kepler equation and accelerated Newton method (Q5957936)
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scientific article; zbMATH DE number 1719264
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kepler equation and accelerated Newton method |
scientific article; zbMATH DE number 1719264 |
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Kepler equation and accelerated Newton method (English)
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15 November 2002
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In the development of the work of \textit{J. Gerlach} [SIAM Rev. 36, No. 2, 272-276 (1994; Zbl 0814.65046)] the author suggests a formula of order three and a proof of its convergence for the Newton method with applications to the resolution of a system of algebraic equations and to Kepler's equation.
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algebraic nonlinear equations
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Kepler equation
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Newton method
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convergence acceleration
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