Barycentric Lagrange Interpolating Polynomials and Lebesgue Constant

Versione 1.0.0.0 (2,33 KB) da Greg von Winckel
Computes lagrange interpolating polynomials and Lebesgue function/constant.
3.6
(5)
6,7K download
Aggiornato 8 mar 2004

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The first script, barylag.m, performs a barycentric lagrange interpolation on a for a set of given data. This approach follows from a paper by L. N. Trefethen (ref inside script comments), and is much faster than the previous script. Additionally, it has been vectorized to improve computation time even more. The second script, lebesgue.m is for computing the lebesgue function and constant for a set of nodes. If you want to interpolate data using barylag but are using some unusual set of nodes, use the second script to check the lebesgue constant ensure good numerical conditioning.

Cita come

Greg von Winckel (2024). Barycentric Lagrange Interpolating Polynomials and Lebesgue Constant (https://www.mathworks.com/matlabcentral/fileexchange/4478-barycentric-lagrange-interpolating-polynomials-and-lebesgue-constant), MATLAB Central File Exchange. Recuperato .

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Creato con R12.1
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Ispirato da: Lagrange polynomial interpolation

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Versione Pubblicato Note della release
1.0.0.0

The script has been made into two scripts, a barycentric lagrange interpolation scheme which is much faster, and a lebesgue calculator for theoretical interest.