Can anyone suggest an idea to compute the rightmost eigenvalues of the exponential polynomial ...?

05 November 2014 1 1K Report

Can anyone suggest an idea to compute the rightmost eigenvalues of the exponential polynomial $det(lambda E - A - e^{lambda tau_1} B_1 - e^{lambda tau_2})B_2)$?

Here E, A, B are square matrices, E is singular (not invertible), 0 < tau_1 < tau_2.

Phi Ha

@Peter: Thank you, you are right. It is indeed very simple.

So is there any suggestion for the other questions

"what can we say about the eigenvalues \lambda of the original exp. polynomial and the perturbed one (we perturb tau_1 and tau_2)? Is there any estimation for the change in the spectral abscissa?"

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