455 citations · 1.1k across the 15 of their papers we have counts for
19 papers
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…
Linearizations of matrix polynomials viewed as Rosenbrock's system matrices
Froilán M. Dopico, Silvia Marcaida, María C. Quintana +1
A well known method to solve the Polynomial Eigenvalue Problem (PEP) is via linearization. That is, transforming the PEP into a generalized linear eigenvalue problem with the same…
Revisiting the matrix polynomial greatest common divisor
Vanni Noferini, Paul Van Dooren
In this paper we revisit the greatest common right divisor (GCRD) extraction from a set of polynomial matrices $P_i(λ)\in \F[\la]^{m_i\times n}$, with coefficients i…
On role extraction for digraphs via neighbourhood pattern similarity
Giovanni Barbarino, Vanni Noferini, Paul Van Dooren
We analyse the recovery of different roles in a network modelled by a directed graph, based on the so-called Neighbourhood Pattern Similarity approach. Our analysis uses results fr…
Strongly minimal self-conjugate linearizations for polynomial and rational matrices
Froilán M. Dopico, María C. Quintana, Paul Van Dooren
We prove that we can always construct strongly minimal linearizations of an arbitrary rational matrix from its Laurent expansion around the point at infinity, which happens to be t…
Block Full Rank Linearizations of Rational Matrices
Froilán M. Dopico, Silvia Marcaida, María C. Quintana +1
Block full rank pencils introduced in [Dopico et al., Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems, Linear…