Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants

We present new high-order optimal iterative methods for solving a nonlinear equation, f(x)=0, by using Padé-like approximants. We compose optimal methods of order 4 with Newton’s step and substitute the derivative by using an appropriate rational approximant, getting optimal methods of order 8. In t...

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Bibliographic Details
Main Authors: Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/3204652
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