In this article discusses the modification of Halley’s method to solve nonlinear equa-tions having multiple roots. The method is obtained using improvements of the Osada’s method and Euler-Chebyshev’s method. Analytically , we show that this iterative method have third order for a multiple roots. Furthermore, numerical ex-periments show that, the modification of Halley method is superior to Newton’smethod for multiple roots.
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