6 papers · 1 filter
On rank-2 Nonnegative Matrix Factorizations and their variants
Etna Lindy, Vanni Noferini, Paul Van Dooren
We consider the problem of finding the best nonnegative rank-2 approximation of an arbitrary nonnegative matrix. We first revisit the theory, including an explicit parametrization…
On computing the zeros of a class of Sobolev orthogonal polynomials
Nicola Mastronardi, Marc Van Barel, Raf Vandebril +1
A fast and weakly stable method for computing the zeros of a particular class of hypergeometric polynomials is presented. The studied hypergeometric polynomials satisfy a higher or…
Minimal rank factorizations of polynomial matrices
Andrii Dmytryshyn, Froilán Dopico, Paul Van Dooren
We investigate rank revealing factorizations of polynomial matrices into products of three, , or two, , polynom…
Para-Hermitian rational matrices
Froilán Dopico, Vanni Noferini, MarÃa C. Quintana +1
In this paper we study para-Hermitian rational matrices and the associated structured rational eigenvalue problem (REP). Para-Hermitian rational matrices are square rational matric…
A MATLAB package computing simultaneous Gaussian quadrature rules for Multiple Orthogonal Polynomials
Teresa Laudadio, Nicola Mastronardi, Walter Van Assche +1
The aim of this paper is to describe a Matlab package for computing the simultaneous Gaussian quadrature rules associated with a variety of multiple orthogonal polynomials. Multipl…
Assigning Stationary Distributions to Sparse Stochastic Matrices
Nicolas Gillis, Paul Van Dooren
The target stationary distribution problem (TSDP) is the following: given an irreducible stochastic matrix and a target stationary distribution , construct a minimum n…