Solution of nonlinear equations via Padé approximation. A Computer Algebra approach
DOI:
https://doi.org/10.24193/subbmath.2021.2.08Keywords:
Nonlinear equation, Pad´e approximation, Numerical methods, Computer Algebra.Abstract
We generate automatically several high order numerical methods for the solution of nonlinear equations using Pad´e approximation and Maple CAS.
Mathematics Subject Classification (2010): 65H05, 65D05, 65D99.
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.
Pavaloiu, I., Equations Solution through Interpolation, Dacia Publishers, 1981 (in Romanian).
Sebah, P., Gourdon, X., Newton’s method and high order iterations, numbers. computation.free.fr/Constants/constants.html
Householder, A.S., The Numerical Treatment of a Single Nonlinear Equation, McGraw-Hill, New York, 1970.
Trımbitas, R., An application of inverse Pad´e interpolation, Stud. Univ. Babes-Bolyai Math., 64(2019), no. 2, 291-296.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Studia Universitatis Babeș-Bolyai Mathematica
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
