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math.SP2022
On the Spectral Theory of Linear Differential-Algebraic Equations with Periodic Coefficients
Bader Alshammari, Aaron Welters
In this paper, we consider the spectral theory of linear differential-algebraic equations (DAEs) for periodic DAEs in canonical form, i.e., \begin{equation*} J \frac{df}{dt}+Hf=λWf…
math.SP2009
On Explicit Recursive Formulas in the Spectral Perturbation Analysis of a Jordan Block
Aaron Welters
Let A(z) be an analytic square matrix and an eigenvalue of A(0) of multiplicity m. Then under the generic condition, the characteristic polynomial of A(z) evaluated at $λ_{…