Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Wojtylak, Michał"'
We investigate when the algebraic numerical range is a $C$-spectral set in a Banach algebra. While providing several counterexamples based on classical ideas as well as combinatorial Banach spaces, we discuss positive results for matrix algebras and
Externí odkaz:
http://arxiv.org/abs/2410.10678
We compute the quadratic embedding constant for complete bipartite graphs with disjoint edges removed. Moreover, we study the quadratic embedding property for theta graphs, i.e., graphs consisting of three paths with common initial points and common
Externí odkaz:
http://arxiv.org/abs/2409.17662
The Sz\'asz inequality is a classical result providing a bound for polynomials with zeros in the upper half of the complex plane in terms of its low-order coefficients. Some generalisations of this result to polynomials in several variables were done
Externí odkaz:
http://arxiv.org/abs/2406.08965
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 of singular operator pencils are introduced. The concepts are analyzed
Externí odkaz:
http://arxiv.org/abs/2405.11634
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 of hyperstability is introduced and widely discussed. Matrix versions
Externí odkaz:
http://arxiv.org/abs/2203.10509
Autor:
Ran, Andre, Wojtylak, Michal
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 matrices" and sharpen the estimates for eigenvalues of parametric rank one
Externí odkaz:
http://arxiv.org/abs/2203.07811
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 spectral properties, we introduce matrix pencils with coefficients that h
Externí odkaz:
http://arxiv.org/abs/2108.05566
Autor:
Ran, A. C. M., Wojtylak, Michal
General properties of eigenvalues of $A+\tau uv^*$ as functions of $\tau\in\Comp$ or $\tau\in\Real$ or $\tau=\e^{\ii\theta}$ on the unit circle are considered. In particular, the problem of existence of global analytic formulas for eigenvalues is add
Externí odkaz:
http://arxiv.org/abs/2007.01188
We study the characterization of several distance problems for linear differential-algebraic systems with dissipative Hamiltonian structure. Since all models are only approximations of reality and data are always inaccurate, it is an important questi
Externí odkaz:
http://arxiv.org/abs/2001.08902
Publikováno v:
In Linear Algebra and Its Applications 1 August 2023 670:42-67
