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