CPOLYMESH: Matlab and Python codes for complex polynomial approximation by Chebyshev admissible meshes

  • Dimitri Jordan Kenne 1Doctoral School of Exact and Natural Sciences, Jagiellonian University, Krakow, Poland
  • Alvise Sommariva University' di Padova https://orcid.org/0000-0002-8902-8063
  • Marco Vianello University of Padova
Keywords: complex polynomial approximation, interpolation, least-squares, admissible polynomial meshes, discrete extremal sets, Approximate Fekete Points, Discrete Leja Points, Pseudo Leja Points, Lebesgue constant. (MSC2020: 65D05,65E05)

Abstract

We provide Matlab and Python codes for polynomial approximation on complex compact sets with connected complement, by Chebyshev-like admissible polynomial meshes on boundaries with piecewise (trigonometric) polynomial parametrization. Such meshes have lower cardinality with respect to those previously known. They are used for polynomial least-squares, for the extraction of extremal interpolation sets of Fekete and Leja type, as well as for the computation of the uniform norms (Lebesgue constants) of polynomial projection operators.

Published
2024-09-06
How to Cite
Kenne, D. J., Sommariva, A., & Vianello, M. (2024). CPOLYMESH: Matlab and Python codes for complex polynomial approximation by Chebyshev admissible meshes. Journal of Approximation Software, 1(2). Retrieved from https://ojs.unito.it/index.php/JAS/article/view/10829
Issue
Vol. 1 No. 2 (2024)
Section
Articles

Copyright (c) 2024 Alvise Sommariva, Marco Vianello, Dimitri Jordan Kenne

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

JAS only considers unpublished manuscripts.

JAS is committed to electronic open-access publishing since its foundation in 2023 and has chosen to apply the Creative Commons Attribution License (CCAL) CC-BY to all articles.

Under the Creative Commons Attribution License, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles in JAS, provided that the original authors and source are credited.