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most citedA MATLAB package computing simultaneous Gaussian quadrature rules for Multiple Orthogonal Polynomials

3 citations · 3 across the 5 of their papers we have counts for

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math.NA2024

Para-Hermitian rational matrices

Froilán Dopico, Vanni Noferini, María 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…

math.NA20243 cited

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…

math.NA2023

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 no…

math.NA2023

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, , polynomial matr…

math.NA2023

Parameterized Interpolation of Passive Systems

Peter Benner, Pawan Goyal, Paul Van Dooren

We study the tangential interpolation problem for a passive transfer function in standard state-space form. We derive new interpolation conditions based on the computation of a def…

math.NA2023

Computing a compact local Smith McMillan form

Vanni Noferini, Paul Van Dooren

We define a compact local Smith-McMillan form of a rational matrix as the diagonal matrix whose diagonal elements are the nonzero entries of a local Smith-McMillan form of $…