05C50 Online Seminar: Kevin Vander Meulen
Topic
On counting eigenvalues of a matrix sign pattern
Speakers
Details
The signs of the entries of a real matrix can give insight into the eigenvalues of the matrix. A well-known example is the Perron Frobenius theorem for matrices that have no negative entries. As an inverse eigenvalue problem, one can ask for the possible spectra of a given sign pattern, where a sign pattern is a specified arrangement of the zero, positive and negative entries. We review combinatorial and analytic techniques employed to explore the possible spectra of a sign pattern. We present recent results, and open questions, on the number of distinct eigenvalues allowed by a sign pattern.
This talk will NOT be recorded. You may email the speaker for their slides.
Additional Information
The 05C50 Online is an international seminar about graphs and matrices held twice a month on Fridays.
Time: 8AM Pacific/10AM Central
For more information, visit https://sites.google.com/view/05c50online/home.
If you would like to attend, please register using this form to receive the zoom links: https://docs.google.com/forms/d/e/1FAIpQLSdQ98fh58cgeSWzbFe3t77i28FXDck1gYuX9jv_qd4kEf5l_Q/viewform?usp=sf_link