A New Derivative-Free Method to Solve Nonlinear Equations

Beny Neta
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Beny Neta: Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA 93943, USA

Mathematics, 2021, vol. 9, issue 6, 1-5

Abstract: A new high-order derivative-free method for the solution of a nonlinear equation is developed. The novelty is the use of Traub’s method as a first step. The order is proven and demonstrated. It is also shown that the method has much fewer divergent points and runs faster than an optimal eighth-order derivative-free method.

Keywords: derivative-free methods; simple roots; nonlinear equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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