Barycentric Lagrange Interpolating Polynomials and Lebesgue Constant

Computes lagrange interpolating polynomials and Lebesgue function/constant.

現在この提出コンテンツをフォロー中です。

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.

引用

Greg von Winckel (2026). Barycentric Lagrange Interpolating Polynomials and Lebesgue Constant (https://jp.mathworks.com/matlabcentral/fileexchange/4478-barycentric-lagrange-interpolating-polynomials-and-lebesgue-constant), MATLAB Central File Exchange. に取得済み.

謝辞

ヒントを得たファイル: Lagrange polynomial interpolation

カテゴリ

Help Center および MATLAB AnswersPolynomials についてさらに検索

一般的な情報

MATLAB リリースの互換性

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バージョン 公開済み リリース ノート Action
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.