Abstract
In this paper, we present and analyze a sixth-order convergent method for solving nonlinear equations. The method is free from second derivatives and permits f’(x)=0 in some points. It requires three evaluations of the given function and two evaluations of its derivative in each step. Some numerical examples illustrate that the presented method is more efficient and performs better than classical Newton’s method.
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Sun, L., Fang, L. (2011). A Modified Newton-Type Method with Sixth-Order Convergence for Solving Nonlinear Equations. In: Lin, S., Huang, X. (eds) Advances in Computer Science, Environment, Ecoinformatics, and Education. CSEE 2011. Communications in Computer and Information Science, vol 217. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23339-5_86
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DOI: https://doi.org/10.1007/978-3-642-23339-5_86
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23338-8
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