Introduction to Isospectral Reductions

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