Some variant of Newton’s method with third-order convergence |
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| Authors: | M. Frontini E. Sormani |
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| Affiliation: | Dipartimento di Matematica, Piazza Leonardo da Vinci Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133, Milano, Italy |
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| Abstract: | We present a new modification of the Newton’s method which produces iterative methods with order of convergence three. A general error analysis providing the higher order of convergence is given, and the best efficiency, in term of function evaluations, of two of this new methods is provided. |
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| Keywords: | Newton’ s formula Third-order convergence Function evaluations |
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