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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. AMS Subject Classification: 65H05, 65D32

MODIFIED HALLEY'S METHOD FOR SOLVING NONLINEAR FUNCTIONS WITH CONVERGENCE OF ORDER SIX AND EFFICIENCY INDEX 1.8171