4 citations · 11 across the 17 of their papers we have counts for
22 papers
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…
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…
Spectral theory of infinite dimensional dissipative Hamiltonian systems
Christian Mehl, Volker Mehrmann, Michał 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…
Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices II
Andre Ran, Michal Wojtylak
We present in this note a correction to Theorem 17 in our earlier paper "Global properties of eigenvalues of parametric rank one perturbations for structured and unstructured matri…
Stability Of Matrix Polynomials In One And Several Variables
Oskar Jakub Szymański, Michał Wojtylak
The paper presents methods of eigenvalue localisation of regular matrix polynomials, in particular, stability of matrix polynomials is investigated. For this aim a stronger notion…
Matrix pencils with coefficients that have positive semidefinite Hermitian part
Christian Mehl, Volker Mehrmann, Michal Wojtylak
We analyze when an arbitrary matrix pencil is equivalent to a dissipative Hamiltonian pencil and show that this heavily restricts the spectral properties. In order to relax the spe…