Kepler equation and accelerated Newton method
Journal of Computational and Applied Mathematics
A one parameter family of locally quartically convergent zero-finding methods
Journal of Computational and Applied Mathematics
On general convergence in extracting radicals via a fundamental family of iteration functions
Journal of Computational and Applied Mathematics
Newton's method and high-order algorithms for the nth root computation
Journal of Computational and Applied Mathematics
On Schröder's families of root-finding methods
Journal of Computational and Applied Mathematics
On interpolation variants of Newton's method for functions of several variables
Journal of Computational and Applied Mathematics
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This note presents a simplified algorithm for achieving acceleration of convergence in Newton's method.