Four-Point Optimal Sixteenth-Order Iterative Method for Solving Nonlinear Equations
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We present an iterative method for solving nonlinear equations. The proposed iterative method has optimal order of convergence sixteen in the sense of Kung-Traub conjecture (Kung and Traub, 1974); it means that the iterative scheme uses five functional evaluations to achieve 16(=25-1) order of convergence. The proposed iterative method utilizes one derivative and four function evaluations. Numerical experiments are made to demonstrate the convergence and validation of the iterative method.
2018 ◽
Vol 35
(2)
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pp. 497-509
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2018 ◽
Vol 15
(03)
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pp. 1850010
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