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.
