All interested faculty and students are invited to attend.
Martin Bohner will talk on
Positivity of Block Tridiagonal Matrices
Abstract:
This talk relates disconjugacy of linear Hamiltonian difference systems
(and hence positive definiteness of certain discrete quadratic functionals)
to positive definiteness of some block tridiagonal matrices associated
with these systems and functionals. As a special case of a Hamiltonian
system, Sturm-Liouville difference equations are considered, and
analogous results are obtained for these important objects also.