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math.NA2026
An Encoder-Transformer Architecture for Recognition of the Jordan Structure of a Matrix
Michał Trojanowski, Michał 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, Michał 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…