Introduction to Isospectral Reductions

Series
Dynamical Systems Working Seminar
Time
Friday, March 16, 2018 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 271
Speaker
Longmei Shu – GT Math
Organizer
Jiaqi Yang
Isospectral reductions decrease the dimension of the adjacency matrix while keeping all the eigenvalues. This is achieved by using rational functions in the entries of the reduced matrix. I will show how it's done through an example. I will also discuss about the eigenvectors and generalized eigenvectors before and after reductions.