An application of inverse Pade interpolation

Radu Tiberiu Trimbitas

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. The
Computer Algebra software Maple assisted us to find the method and to
establish its order.

Keywords


Nonlinear equations, Inverse interpolation, Computer Algebra

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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).




DOI: http://dx.doi.org/10.24193/subbmath.2019.2.13

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