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Kepler equation and accelerated Newton method. (English) Zbl 0998.65054
In the development of the work of {\it 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.

##### MSC:
 65H10 Systems of nonlinear equations (numerical methods)
Mathematica
Full Text:
##### References:
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