Barycentric Lagrange Interpolating Polynomials and Lebesgue Constant

Computes lagrange interpolating polynomials and Lebesgue function/constant.
6.6K descargas
Actualizado 8 Mar 2004

Ver licencia

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.

Citar como

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. Recuperado .

Compatibilidad con la versión de MATLAB
Se creó con R12.1
Compatible con cualquier versión
Compatibilidad con las plataformas
Windows macOS Linux
Categorías
Más información sobre Polynomials en Help Center y MATLAB Answers.
Agradecimientos

Inspirado por: Lagrange polynomial interpolation

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Versión Publicado Notas de la versión
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.