Research Project: An optimisation-based framework for non-classical Chebyshev approximation

ARC Discovery grant

Julien Ugon, Marco Lopez-Cerdá, Nadeza Sukhorukova, Vera Roshchina, Jean-Pierre Crouzeix and Nira Dyn

This project aims to solve open problems in multivariate and piecewise polynomial approximation – two directions that correspond to fundamental obstacles to extending classical approximation results.

Through an innovative combination of optimisation and algebraic technique, this project intends to develop foundations for new results in approximation theory and new insights into other areas of mathematics (notably optimisation).

The techniques and methods developed should also have significant benefits in the many disciplines where approximation problems appear, such as engineering, physics and data mining.