An application of inverse Pad´e interpolation
DOI:
https://doi.org/10.24193/subbmath.2019.2.13Keywords:
Nonlinear equations, inverse interpolation, Computer Algebra.Abstract
We use inverse Pad´e interpolation to find a fourth order method for the solution of scalar nonlinear equations. Our approach is based on Computer Algebra. Maple Computer Algebra system assisted us to find the method and to establish its order.
Mathematics Subject Classification (2010): 65H05, 65Y99.
References
Agratini, O., Blaga, P., Chiorean, I., Coman, Gh., Stancu, D.D., Trˆımbi¸ta¸s, R.T., Numerical Analysis and Approximation Theory (vol. III), Cluj University Press, Cluj- Napoca, 2002 (in Romanian).
Gander, W., Gander, M.J., Kwok, F., Scientific Computing. An Introduction Using Maple and MATLAB, Springer, 2014.
Gander, W., Gruntz, D., Derivation of numerical methods using Computer Algebra, SIAM Rev., 41(1999), no. 3, 577-593.
Garvan, F., The Maple Book, 1st Edition, Chapman & Hall/CRC, 2001.
Gautschi, W., Numerical Analysis, Second Edition, Springer Science+Business Media, 2012.
Heck, A., Introduction to Maple, Third Edition, Springer-Verlag, New York, 2003.
P˘av˘aloiu, I., Equations Solution through Interpolation, Dacia Publishers, 1981 (in Romanian).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2019 Studia Universitatis Babeș-Bolyai Mathematica
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.