Lasserre, Jean-Bernard (2024) The Christoffel function: Applications, connections and extensions. Numerical Algebra, Control and Optimization.

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Identification Number : 10.3934/naco.2024011

Abstract

We provide an introduction to the Christoffel function (CF), a well-known (and old) tool from the theory of approximation and orthogonal polynomials. We then describe how it provides a simple and easy-to-use tool to address some problems in data analysis and mining, and in approximation and interpolation of discontinuous functions. Finally we also reveal some surprising links of the CF with seemingly different disciplines, including polynomial optimization, positivity certificates, and equilibrium measures of compact sets.

Item Type: Article
Language: English
Date: March 2024
Refereed: Yes
Place of Publication: Springfield, MO, USA
Subjects: B- ECONOMIE ET FINANCE
Divisions: TSE-R (Toulouse)
Site: UT1
Date Deposited: 05 Feb 2025 15:19
Last Modified: 05 Feb 2025 15:19
OAI Identifier: oai:tse-fr.eu:130273
URI: https://publications.ut-capitole.fr/id/eprint/50348
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