Discrepancy of matrices of zeros ond ones.
Discrete orthogonal polynomial ensembles and the Plancherel measure.
Distance matrices perturbed by Laplacians
Let be a tree with vertices. To each edge of we assign a weight which is a positive definite matrix of some fixed order, say, . Let denote the sum of all the weights lying in the path connecting the vertices and of . We now say that is the distance between and . Define , where is the null matrix and for , is the distance between and . Let be an arbitrary connected weighted graph with vertices, where each weight is a positive definite matrix of order . If and...
Distribution of values of permanent and standard forms of (0,1)-matrices
Divisibility properties of Smith matrices
Domains of analytic continuation for the top Lyapunov exponent
Doubly stochastic matrices and the Bruhat order
The Bruhat order is defined in terms of an interchange operation on the set of permutation matrices of order which corresponds to the transposition of a pair of elements in a permutation. We introduce an extension of this partial order, which we call the stochastic Bruhat order, for the larger class of doubly stochastic matrices (convex hull of permutation matrices). An alternative description of this partial order is given. We define a class of special faces of induced by permutation matrices,...
Drei-Nachrichten-Probleme in verallgemeinerter Definition.
Dualità e teoria dei grafi per la completa positività di matrici
Duality of real and quaternionic random matrices.
Dynamics of doubly stochastic quadratic operators on a finite-dimensional simplex
The present paper focuses on the dynamics of doubly stochastic quadratic operators (d.s.q.o) on a finite-dimensional simplex. We prove that if a d.s.q.o. has no periodic points then the trajectory of any initial point inside the simplex is convergent. We show that if d.s.q.o. is not a permutation then it has no periodic points on the interior of the two dimensional (2D) simplex. We also show that this property fails in higher dimensions. In addition, the paper also discusses the dynamics classifications...
Ecuaciones lineales y anillos conmutativos.
Edge matrices for the fundamental cone.
Efficient measurement of higher-order statistics of stochastic processes
This paper is devoted to analysis of block multi-indexed higher-order covariance matrices, which can be used for the least-squares estimation problem. The formulation of linear and nonlinear least squares estimation problems is proposed, showing that their statements and solutions lead to generalized `normal equations', employing covariance matrices of the underlying processes. Then, we provide a class of efficient algorithms to estimate higher-order statistics (generalized multi-indexed covariance...
Eigenspace of a three-dimensional max-Łukasiewicz fuzzy matrix
Eigenvectors of a fuzzy matrix correspond to stable states of a complex discrete-events system, characterized by a given transition matrix and fuzzy state vectors. Description of the eigenspace (set of all eigenvectors) for matrices in max-min or max-drast fuzzy algebra was presented in previous papers. In this paper the eigenspace of a three-dimensional fuzzy matrix in max-Łukasiewicz algebra is investigated. Necessary and sufficient conditions are shown under which the eigenspace restricted to...
Eigenvalue curves of asymmetric tridiagonal random matrices.
Eigenvalue distribution of certain ray patterns
In this paper, the eigenvalue distribution of complex matrices with certain ray patterns is investigated. Cyclically real ray patterns and ray patterns that are signature similar to real sign patterns are characterized, and their eigenvalue distribution is discussed. Among other results, the following classes of ray patterns are characterized: ray patterns that require eigenvalues along a fixed line in the complex plane, ray patterns that require eigenvalues symmetric about a fixed line, and ray...
Eigenvalue distribution of random matrices : some recent results
Eigenvalue distribution of random operators and matrices
Eigenvalues and eigenvectors for the quaternion matrices of degree two.