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.
Greg von Winckel (2023). 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. Retrieved .
MATLAB Release Compatibility
Platform CompatibilityWindows macOS Linux
Inspired by: Lagrange polynomial interpolation
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!Start Hunting!
The script has been made into two scripts, a barycentric lagrange interpolation scheme which is much faster, and a lebesgue calculator for theoretical interest.