Abstract
An improvement of the local order of convergence is presented to increase the efficiency of the iterative method with an appropriate number of evaluations of the function and its derivative. The third and fourth order of known two-step like Newton methods have been improved and the efficiency has also been increased.
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Grau-Sánchez, M. Improvements of the efficiency of some three-step iterative like-Newton methods. Numer. Math. 107, 131–146 (2007). https://doi.org/10.1007/s00211-007-0088-8
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DOI: https://doi.org/10.1007/s00211-007-0088-8