10/11/2006, 15:00 — 16:00 — Room P3.10, Mathematics Building
Frank-Olme Speck, Instituto Superior Técnico, U.T. Lisboa
On the analytical solution of the linear-fractional Riemann problem
The linear-fractional problem is a generalization of the linear
Riemann problem that includes the (non-linear) factorization
problem. In case of normal type it can be equivalently reduced to a
family of homogeneous linear vector Riemann problems by space
foliation and adequate substitutions. Moreover these problems are
equivalent to systems of non-homogeneous Toeplitz equations with
special data. The reduced problem can be solved by matrix
factorization in various cases. This research is based upon joint
work with S. V. Rogosin.