Constructing copositive matrices from interior matrices.
Constructing matrix geometric means.
Constructions of trace zero symmetric stochastic matrices for the inverse eigenvalue problem.
Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations.
Cyclic products and an inequality for determinants
Cylinder matrices
Decreasing diagonal elements in completely positive matrices
Diagonal similarity and equivalence for matrices over groups with 0
Diffeomorphisms of Rn with oscillatory jacobians.
The paper presents, mainly, two results: a new proof of the spectral properties of oscillatory matrices and a transversality theorem for diffeomorphisms of Rn with oscillatory jacobian at every point and such that NM(f(x) - f(y)) ≤ NM(x - y) for all elements x,y ∈ Rn, where NM(x) - 1 denotes the maximum number of sign changes in the components zi of z ∈ Rn, where all zi are non zero and z varies in a small neighborhood of x. An application to a semiimplicit discretization of the scalar heat equation...
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...
Dualità e teoria dei grafi per la completa positività di matrici
Edge matrices for the fundamental cone.
Eigenvalues of sums of pseudo-Hermitian matrices.
Equivalence of -irreducibility concepts
Erratum to “A note on the largest eigenvalue of non-regular graphs”.
Étude des puissances d'une distance
Euclidean and circum-Euclidean distance matrices: characterizations and linear preservers.
Evaluating scientific products by means of citation-based models: a first analysis and validation.
Existence et unicité du maximum d'une forme linéaire sur un ensemble de matrices diagonales
Exponents of two-colored digraphs
We consider the primitive two-colored digraphs whose uncolored digraph has vertices and consists of one -cycle and one -cycle. We give bounds on the exponents and characterizations of extremal two-colored digraphs.