3 papers
math.NA2026
An Encoder-Transformer Architecture for Recognition of the Jordan Structure of a Matrix
MichaÅ Trojanowski, MichaÅ Wojtylak
We propose a machine-learning framework for detecting whether a given matrix is a perturbation of a matrix with a large Jordan block. The proposed model achieves high classificatio…
math.NA2026
A Perturbation Method for Index Detection for Linear Matrix Pencils
Hanna Blazhko, MichaÅ Wojtylak
Rigorous, non-asymptotic bounds for the Puiseux expansion of the eigenvalue at infinity are given. Error analysis is provided. Further, the expected value of the eigenvector condit…
math.FA2025
Spectral theory of infinite dimensional dissipative Hamiltonian systems
Christian Mehl, Volker Mehrmann, MichaÅ Wojtylak
The spectral theory for operator pencils and operator differential-algebraic equations is studied. Special focus is laid on singular operator pencils and three different concepts o…