TECH

Talk by Mark Embree (Virginia Tech)



Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theory Perspective

Contour integral methods for nonlinear eigenvalue problems seek to compute a subset of the spectrum in a bounded region of the complex plane. We briefly survey this class of algorithms, establishing a relationship to system realization techniques in control theory. This connection motivates new contour integral methods that build on recent developments in rational interpolation of dynamical systems. The resulting techniques, which replace the usual Hankel matrices with Loewner matrix pencils, incorporate general interpolation schemes and permit ready recovery of eigenvectors. Numerical examples illustrate the potential of this approach.

This talk describes joint work with Michael Brennan (MIT) and Serkan Gugercin (Virginia Tech).

source

Virginia Digital News

https://virginiadigitalnews.com is your news website. We provide you with the latest breaking news and videos straight from the Virginia USA.  number of posts: 960    number of comments: 0  

Related Articles

Leave a Reply

Your email address will not be published. Required fields are marked *

Back to top button
pinup