28/04/2015, 14:00 — 15:00 — Room P3.10, Mathematics Building
Sónia Carvalho, ISEL-IPL
Generalized matrix functions: derivatives and norms
In recent papers we have already obtained formulas for directional derivatives, of all orders, of the immanant and of the $m$-th $\xi$-symmetric tensor power of an operator and a matrix, when $\xi$ is an irreducible character of the full symmetric group. The operator bound norm of these derivatives was also calculated. In this seminar it will be presented similar results that have been established for generalized matrix functions and for every symmetric tensor power associated with the same character.