Base tensorielle des matrices de Hankel (ou de Toeplitz) Applications.
Binary Moore-Penrose inverses of set inclusion incidence matrices.
Binomial matrices
Block distance matrices.
Block Factorization of Hankel Matrices and Euclidean Algorithm
It is shown that a real Hankel matrix admits an approximate block diagonalization in which the successive transformation matrices are upper triangular Toeplitz matrices. The structure of this factorization was first fully discussed in [1]. This approach is extended to obtain the quotients and the remainders appearing in the Euclidean algorithm applied to two polynomials u(x) and v(x) of degree n and m, respectively, whith m < ...
Block matrix approximation via entropy loss function
The aim of the paper is to present a procedure for the approximation of a symmetric positive definite matrix by symmetric block partitioned matrices with structured off-diagonal blocks. The entropy loss function is chosen as approximation criterion. This procedure is applied in a simulation study of the statistical problem of covariance structure identification.
Bounds and inequalities for the Perron root of a nonnegative matrix. III: Bounds dependent on simple paths and circuits.
Bounds for Exponents of Doubly Stochastic Primitive Matrices.
Bounds for graph expansions via elasticity.
Bounds for the singular values of a matrix involving its sparsity pattern.
Bounds for the spectral radius of block -matrices.
Bounds for the spectral radius of nonnegative matrices
Bounds for the Z-eigenpair of general nonnegative tensors
In this paper, we consider the Z-eigenpair of a tensor. A lower bound and an upper bound for the Z-spectral radius of a weakly symmetric nonnegative irreducible tensor are presented. Furthermore, upper bounds of Z-spectral radius of nonnegative tensors and general tensors are given. The proposed bounds improve some existing ones. Numerical examples are reported to show the effectiveness of the proposed bounds.
Bounds on the coefficients of the characteristic and minimal polynomials.
Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices.
Bounds on the spectral radius of Hadamard products of positive operators on -spaces.
Bounds on the subdominant eigenvalue involving group inverses with applications to graphs
Let be an symmetric, irreducible, and nonnegative matrix whose eigenvalues are . In this paper we derive several lower and upper bounds, in particular on and , but also, indirectly, on . The bounds are in terms of the diagonal entries of the group generalized inverse, , of the singular and irreducible M-matrix . Our starting point is a spectral resolution for . We consider the case of equality in some of these inequalities and we apply our results to the algebraic connectivity of undirected...
Brève communication. Sur la séparation des valeurs propres d'une matrice positive
Brèves communications. Un corollaire du théorème de Perron-Frobenius
Brèves communications. Une classe de matrices tri-diagonales-tests