An application of inverse Pade interpolation
DOI:
https://doi.org/10.24193/subbmath.2019.2.13Keywords:
Nonlinear equations, Inverse interpolation, Computer AlgebraAbstract
We use inverse Pad\'{e} interpolation to find a fourth order method for the solution ofscalar nonlinear equations. Our approach is based on Computer Algebra. The
Computer Algebra software Maple assisted us to find the method and to
establish its order.
References
bibitem {vol3}O. Agratini, P. Blaga, I. Chiorean, Gh. Coman, D.D. Stancu,
Radu T. Tr^{i}mbic{t}ac{s}, textit{ Numerical Analysis and Approximation Theory}
(vol. III). Cluj University Press, Cluj-Napoca, 2002 (in Romanian).
bibitem {GGK}Walter Gander, Martin J. Gander, Felix Kwok, textit{Scientific
Computing. An introduction using Maple and MATLAB }. Springer, 2014.
bibitem {GaGr}Walter Gander, Dominik Gruntz, textit{Derivation of Numerical
Methods Using Computer Algebra}, SIAM Review, vol.41, nr. 3, pag. 577-593, 1999.
bibitem {Garvan}Frank Garvan, textit{The Maple Book}, 1st Edition, Chapman
$&$ Hall/CRC, 2001.
bibitem {9}Walter Gautschi, textit{Numerical Analysis} - second edition,
Springer Science+Business Media, 2012.
bibitem {Heck}Andr'{e} Heck, textit{Introduction to Maple} - Third edition,
Springer-Verlag, New York, 2003.
bibitem {Pav1}Ion Pu{a}vu{a}loiu, textit{Equations Solution thru Interpolation}, Dacia Publishers, 1981
(in Romanian).
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Transfer of copyright agreement: When the article is accepted for publication, the authors and the representative of the coauthors, hereby agree to transfer to Studia Universitatis Babeș-Bolyai Mathematica all rights, including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the authors specifically retain: the authors can use the material however they want as long as it fits the NC ND terms of the license. The authors have all rights for reuse according to the license.
