Eigenvalue Attraction

We prove that the complex conjugate (c.c.) eigenvalues of a smoothly varying real matrix attract (Eq. 15). We offer a dynamical perspective on the motion and interaction of the eigenvalues in the complex plane, derive their governing equations and discuss applications. C.c. pairs closest to the real...

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Bibliographic Details
Main Author: Movassagh, Ramis
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer US 2017
Online Access:http://hdl.handle.net/1721.1/106582
https://orcid.org/0000-0002-4078-6752