Applied Mathematics Seminar

Good interpolation schemes, Fekete and Leja points

Speaker: Prof. Vilmos Totik
University of South Florida (Tampa, USA) and
University of Szeged (Szeged, Hungary)

Date: Tuesday March 1st
Time: 11am Room: RC-4082

We address the question how to find good points of
interpolation on a general compact set. The "goodness"
can be measured in different ways, e.g. by the size of
the associated Lebesgue constant, by distribution or
by convergence for certainly classes of functions.

Fekete points are almost optimal for
interpolation, but it is difficult to compute them.
The so called Leja points are simpler to find, and they
are widely used in numerical analysis, though the
theoretical justification is missing for their good behavior.
In this talk we shall discuss these questions and some related
results.