Dominik Nagel (Universität Osnabrück)
Monday, November 19, 2018 - 11:00
MPI für Mathematik in den Naturwissenschaften Leipzig
Inselstr. 22, 04103 Leipzig, E1 05 (Leibniz-Saal), 1. Etage
The condition number of rectangular Vandermonde matrices with nodes on the complex unit circle is important for the stability analysis of algorithms that solve trigonometric mo- ment problems, e.g. Prony’s method. In the univariate case and with well-separated nodes, this condition number is well understood, but if nodes are nearly-colliding, the situation becomes more complicated. After recalling Prony’s method, results for the condition number of Vandermonde matrices with pairs of nearly-colliding nodes are presented. This is joint work with Stefan Kunis.
submitted by Saskia Gutzschebauch (Saskia.Gutzschebauch@mis.mpg.de, 0341 9959 50)