Introduction to Isospectral Reductions

Series: 
Dynamical Systems Working Seminar
Friday, March 16, 2018 - 3:05pm
1 hour (actually 50 minutes)
Location: 
Skiles 271
,  
GT Math
Organizer: 

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.