Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants
Joint Authors
Cordero, Alicia
Torregrosa, Juan R.
Hueso, José L.
Martínez, Eulalia
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-03
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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 the same way, increasing the degree of the approximant, we obtain optimal methods of order 16.
We also perform different numerical tests that confirm the theoretical results.
American Psychological Association (APA)
Cordero, Alicia& Hueso, José L.& Martínez, Eulalia& Torregrosa, Juan R.. 2017. Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1151293
Modern Language Association (MLA)
Cordero, Alicia…[et al.]. Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-6.
https://search.emarefa.net/detail/BIM-1151293
American Medical Association (AMA)
Cordero, Alicia& Hueso, José L.& Martínez, Eulalia& Torregrosa, Juan R.. Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1151293
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151293
