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A Note on the Singh Six-order Variant of Newton’s Method
In 2009 in this journal it was published the paper of M. K. Singh [1], in which the author presented a six-order variant of Newton’s method. Unfortunately, in this paper there were a number of printer errors and a serious error in the proof of theorem on the order of the method proposed. Theref ...
A Six-order Variant of Newton’s Method for Solving Nonlinear Equations
A new variant of Newton’s method based on contra harmonic mean has been developed and its convergence properties have been discussed. The order of convergence of the proposed method is six. Starting with a suitably chosen x0, the method generates a sequence of iterates converging to the roo ...