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math-ph2024
Generalized Eigenspaces and Pseudospectra of Nonnormal and Defective Matrix-Valued Dynamical Systems
Saori Morimoto, Makoto Katori, Tomoyuki Shirai
We consider nonnormal matrix-valued dynamical systems with discrete time. For an eigenvalue of matrix, the number of times it appears as a root of the characteristic polynomial is…
math-ph2024
Eigenvalue and pseudospectrum processes generated by nonnormal Toeplitz matrices with rank 1 perturbations
Saori Morimoto, Makoto Katori, Tomoyuki Shirai
We introduce two kinds of matrix-valued dynamical processes generated by nonnormal Toeplitz matrices with the additive rank 1 perturbations , where and …