Seminar Event Detail


Applied Interdisciplinary Mathematics (AIM)

Date:  Friday, January 30, 2015
Location:  1084 East Hall (3:00 PM to 4:00 PM)

Title:  Reformulating spectral problems with the Krein matrix

Abstract:   Successful resolution of spectral problems in Hamiltonian systems requires not only that we locate the eigenvalues, but also that we determine the Krein signatures of those which are purely imaginary. The well-known Evans function determines the location and multiplicity of the eigenvalues, but in its classical form it does not allow a determination of the signatures. On the other hand, the Krein matrix, and the accompanying Krein eigenvalues, allow us to not only find the eigenvalues, but the graphs can be used to determine the signatures. We will briefly consider the construction of the matrix, and discuss its role in applications.

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Speaker:  Todd Kapitula
Institution:  Calvin College

Event Organizer:   Peter Miller    millerpd@umich.edu

 

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