- January 18, 2013, Friday - 14h30 (Room P
3.10):
Torsten
Ehrhardt
(University of California, Santa Cruz, U.S.A.)
" Resultant
matrices
and inversion of Bezoutians "
Abstract. 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.
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