Is polynomial interpolation in the monomial basis unstable?

Zewen Shen (University of Toronto)
Event time: 
Wednesday, April 5, 2023 - 1:00pm
AKW 200 See map
Event description: 

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.

Event Type: 
Applied Mathematics