Title: Rational approximation and its role in different branches of mathematics and applications

Speaker: Nadezda Sukhorukova (Swinburne University of Technology)

Date and Time: Wed Nov 3, 17:00 AEST (Register here for remote connection via Zoom)

Abstract:

Rational approximation is a powerful function approximation tool. Rational approximation is approximation by a ratio of two polynomials, whose coefficients are subject to optimisation. Numerical methods for rational approximation have been developed independently in different branches of mathematics. In this talk, I will present the interconnections between different numerical methods developed to rational approximation. Most of them can be extended to the case of the so called generalised rational approximation where the approximation is a ration of two linear forms and the basis functions are not limited to monomials. Finally, I am going to talk about real-life applications for rational and generalised rational approximation.queness.