Functional Analysis and Applications Seminar 

18/01/2013, 14:30 — 15:30 — Room P3.10, Mathematics Building
Torsten Ehrhardt, University of California, Santa Cruz, USA

Resultant matrices and inversion of Bezoutians

The subject of this talk are special types of structured matrices. The inversion of finite Toeplitz matrices is very well studied, and the inverses of Toeplitz matrices are so-called Bezout matrices. We pursue to opposite goal, the inversion of (invertible) Bezout matrices. Special attention is paid to explicit formulas and a fast computation of the inverse. It turns out that the problem is related to another problem, namely the description of the kernel of generalized resultant matrices. This problem is studied as well. The talk is based on joint work with Karla Rost.