SCS: Zewen Shen (U Toronto)

Thursday Mar 30, 2023, 10:00 AM → 11:00 AM America/New_York

3rd Floor Conference Room/3-Flatiron Institute (162 5th Avenue)

Presenter: Zewen Shen (University of Toronto)

Title: Is polynomial interpolation in the monomial basis unstable?

Abstract: In this talk, we will show that the monomial basis is
generally as good as a well-conditioned polynomial basis for
interpolation, provided that the condition number of the Vandermonde
matrix is smaller than the reciprocal of machine epsilon. We will also
show that the monomial basis is more advantageous than other polynomial bases in a number of applications