4 citations · 11 across the 17 of their papers we have counts for
9 papers · 1 filter
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…
Between the von Neumann inequality and the Crouzeix conjecture
Patryk Pagacz, Paweł Pietrzycki, Michał Wojtylak
A new concept of a deformed numerical range is introduced. Here is a bounded linear operator or a matrix and is a parameter. Each is a clos…
Rank two perturbations of matrices and operators and operator model for t-transformation of probability measures
Anna Kula, Michal Wojtylak, Janusz Wysoczański
Rank two parametric perturbations of operators and matrices are studied in various settings. In the finite dimensional case the formula for a characteristic polynomial is derived a…
The Sobolev moment problem and Jordan dilations
F. H. Szafraniec, M. Wojtylak
Moment problems and orthogonal polynomials, both meant in a single real variable, belong to the oldest problems in Classical Analysis. They have been developing for over a century…
On a class of H-selfadjont random matrices with one eigenvalue of nonpositive type
Michal Wojtylak
Large H-selfadjoint random matrices are considered. The matrix is assumed to have one negative eigenvalue, hence the matrix in question has precisely one eigenvalue of nonposit…