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A multi-parameter family of three-step eighth-order iterative methods locating a simple root. (English) Zbl 1183.65049
Summary: A multi-parameter family of three-step eighth-order iterative methods free from second derivatives is proposed to find a simple root of nonlinear algebraic equations. Convergence analysis as well as numerical experiments confirms the eighth-order convergence and asymptotic error constants.
MSC:
65H05Single nonlinear equations (numerical methods)
Software:
Mathematica
References:
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