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Modified Halley's method for solving nonlinear functions with convergence of order six and efficiency index 1.8171

International Journal of Pure and Applied Mathematics (2016) 111(1) 55-66
DOI: 10.12732/ijpam.v111i1.6
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Abstract

In this paper, we describe the modified Halley's method for solving nonlinear functions and analyzed. The modified Halley's method has convergence of order 6 and efficiency index 1.8171 and converges faster than Newton's method and Halley's method. The comparison tables demonstrate the faster convergence of modified Halley's method.

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Nazeer, W., Tanveer, M., Munir, M., Jan, A., & Kang, S. M. (2016). Modified Halley’s method for solving nonlinear functions with convergence of order six and efficiency index 1.8171. International Journal of Pure and Applied Mathematics, 111(1), 55–66. https://doi.org/10.12732/ijpam.v111i1.6

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