Showing math-phShow all
2 papers · 1 filter
math-ph2025
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 $J…
math-ph2025
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…