The spectral radius and the maximum degree of irregular graphs.
The spectral radius of the Coxeter transformations for a generalized Cartan matrix.
The Wigner semi-circle law and the Heisenberg group
The Wigner Theorem states that the statistical distribution of the eigenvalues of a random Hermitian matrix converges to the semi-circular law as the dimension goes to infinity. It is possible to establish this result by using harmonic analysis on the Heisenberg group. In fact this convergence corresponds to the topology of the set of spherical functions associated to the action of the unitary group on the Heisenberg group.
To solving multiparameter problems of algebra. 6. Spectral characteristics of polynomial matrices.
Topological classification of linear endomorphisms
We give a classification of linear endomorphisms up to topological conjugacy.
Two applications of a bound on the Hadamard product with a Cauchy matrix.
Two-station queueing networks with moving servers, blocking, and customer loss.
Two-step Ulm-Chebyshev-like method for inverse singular value problems with multiple singular values
We study the convergence of two-step Ulm-Chebyshev-like method for solving the inverse singular value problems. We focus on the case when the given singular values are positive and multiple. This work extends the result of W. Ma (2022). We show that the new method is cubically convergent. Moreover, numerical experiments are given in the last section, which show that the proposed method is practical and efficient.
Über ein Iterationsverfahren für zyklische Matrizen
Über Matrizen mit semidefinitem Realteil.
Unicyclic graphs with the strong reciprocal eigenvalue property.
Universality in the random matrix spectra in the regime of weak non-hermiticity
Upper bounds on certain functionals defined on groups of linear operators.
Vandermonde Matrices on the Circle: Spectral Properties and Conditioning.
Variational characterizations of the sign-real and the sign-complex spectral radius.
Weighted matrix eigenvalue bounds on the independence number of a graph.
When are Topologically Equivalent Orthogonal Transformations Linearly Equivalent?
Wigner theorems for random matrices with dependent entries: ensembles associated to symmetric spaces and sample covariance matrices.
X-simplicity of interval max-min matrices
A matrix is said to have -simple image eigenspace if any eigenvector belonging to the interval containing a constant vector is the unique solution of the system in . The main result of this paper is an extension of -simplicity to interval max-min matrix distinguishing two possibilities, that at least one matrix or all matrices from a given interval have -simple image eigenspace. -simplicity of interval matrices in max-min algebra are studied and equivalent conditions for interval...
-pencils.