7 papers
Krylov and core transformation algorithms for an inverse eigenvalue problem to compute recurrences of multiple orthogonal polynomials
Amin Faghih, Michele Rinelli, Marc Van Barel +2
In this paper, we develop algorithms for computing the recurrence coefficients corresponding to multiple orthogonal polynomials on the step-line. We reformulate the problem as an i…
Orthonormal polynomial wavelets associated with de la Vallée Poussin-type interpolation on
Woula Themistoclakis, Marc Van Barel
Starting from de la Vallée Poussin type (VP) interpolation, the authors have recently introduced a family of interpolating polynomial scaling and wavelet bases generating the appr…
A Parametric Family of Polynomial Wavelets for Signal and Image Processing
Mariantonia Cotronei, Woula Themistoclakis, Marc Van Barel
This paper investigates the potential applications of a parametric family of polynomial wavelets that has been recently introduced starting from de la Vallée Poussin (VP) interpol…
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…
Generalized cyclic symmetric decompositions for the matrix multiplication tensor
Charlotte Vermeylen, Marc Van Barel
A new generalized cyclic symmetric structure in the factor matrices of polyadic decompositions of matrix multiplication tensors for non-square matrix multiplication is proposed to…
Constructing Sobolev orthonormal rational functions via an updating procedure
Amin Faghih, Marc Van Barel, Niel Van Buggenhout +1
In this paper, we generate the recursion coefficients for rational functions with prescribed poles that are orthonormal with respect to a continuous Sobolev inner product. Using a…