Positive entries of stable matrices.
Principal eigenvectors of irregular graphs.
Product of operators and numerical range preserving maps
Let V be the C*-algebra B(H) of bounded linear operators acting on the Hilbert space H, or the Jordan algebra S(H) of self-adjoint operators in B(H). For a fixed sequence (i₁, ..., iₘ) with i₁, ..., iₘ ∈ 1, ..., k, define a product of by . This includes the usual product and the Jordan triple product A*B = ABA as special cases. Denote the numerical range of A ∈ V by W(A) = (Ax,x): x ∈ H, (x,x) = 1. If there is a unitary operator U and a scalar μ satisfying such that ϕ: V → V has the form A...
Pseudo linear transformations and evaluation in Ore extensions.
Pseudospectra and matrix behaviour
We study the extent to which the pseudospectra of a matrix determine other aspects of its behaviour, such as the growth of its powers and its unitary equivalence class.
Quasianalytic perturbation of multi-parameter hyperbolic polynomials and symmetric matrices
This paper investigates hyperbolic polynomials with quasianalytic coefficients. Our main purpose is to prove factorization theorems for such polynomials, and next to generalize the results of K. Kurdyka and L. Paunescu about perturbation of analytic families of symmetric matrices to the quasianalytic setting.
Random matrices, non-colliding processes and queues
Rank and inertia of submatrices of the Moore-Penrose inverse of a Hermitian matrix.
Real linear matrix analysis
Reducing the adjacency matrix of a tree.
Reduction of the modified Poincaré differential equation to Birkhoff matrix form.
Reduction of the modified Poincaré differential equation to Birkhoff matrix form
In this paper the reduction of the modified Poincaré linear differential equation with one -tuple regular singularity to the Birkhoff canonical matrix form is given.
Refined inertially and spectrally arbitrary zero-nonzero patterns.
Regular Elements of Finite Reflection Groups.
Remark on inequalities for the Laplacian spread of graphs
Two inequalities for the Laplacian spread of graphs are proved in this note. These inequalities are reverse to those obtained by Z. You, B. Liu: The Laplacian spread of graphs, Czech. Math. J. 62 (2012), 155–168.
Remarks on eigenvalues of infinite matrices
Remarks on inertia theorems for matrices
Remarks on inverse of matrix polynomials
Analysis of a non-classically damped engineering structure, which is subjected to an external excitation, leads to the solution of a system of second order ordinary differential equations. Although there exists a large variety of powerful numerical methods to accomplish this task, in some cases it is convenient to formulate the explicit inversion of the respective quadratic fundamental system. The presented contribution uses and extends concepts in matrix polynomial theory and proposes an implementation...
Separable characteristic polynomials of pencils and property .
Sharp lower bounds for the dimension of linearizations of matrix polynomials.