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).
