CONVERGENCE OF MODIFIED HALLEY'S METHOD BASED ON CONTRA HARMONIC MEAN
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Date
2012-11-09
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Abstract
In this paper, we present a new variant of modified Halley's method based on contra-harmonic
mean for solving simple roots of nonlinear equations. Analysis of convergence shows the method
with sixth-order convergence. Several numerical examples are given to illustrate the efficiency and
performance of the proposed method. Comparison of results with other methods has also been
given.
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modified Halley's method, contra-harmonic mean, order of convergence, nonlinear equation