2 papers
math.NA2021
Generation of orthogonal rational functions by procedures for structured matrices
Niel Van Buggenhout, Marc Van Barel, Raf Vandebril
The problem of computing recurrence coefficients of sequences of rational functions orthogonal with respect to a discrete inner product is formulated as an inverse eigenvalue probl…
math.NA2020
Backward Error Measures for Roots of Polynomials
Simon Telen, Sascha Timme, Marc Van Barel
We analyze different measures for the backward error of a set of numerical approximations for the roots of a polynomial. We focus mainly on the element-wise mixed backward error in…