Improvements of the efficiency of some three-step iterative like-Newton methods

Authors:
Miquel Grau-Sánchez
Affiliations:
Technical University of Catalonia, Department of Applied Mathematics II, Jordi Girona 1-3, Omega 435, 08034, Barcelona, Spain
Venue:
Numerische Mathematik
Year:
2007

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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.