An application of inverse Pad´e interpolation

Authors

  • Radu T. TRÂMBIȚAȘ Babe¸s-Bolyai University Faculty of Mathematics and Computer Sciences 1, Kog˘alniceanu Street, 400084 Cluj-Napoca, Romania, e-mail: tradu@math.ubbcluj.ro

DOI:

https://doi.org/10.24193/subbmath.2019.2.13

Keywords:

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).

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Published

2019-06-30

How to Cite

TRÂMBIȚAȘ, R. T. (2019). An application of inverse Pad´e interpolation. Studia Universitatis Babeș-Bolyai Mathematica, 64(2), 291–296. https://doi.org/10.24193/subbmath.2019.2.13

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