Resumen de Some remarks on the evaluation of linear recurrences

Roberto Barrio Gil , María Begoña Melendo Pardos, S. Serrano

• Some remarks on the numerical evaluation of recurrence relations are presented. Results concerning to rounding error bounds of the numerical scheme are given and the results are illustrated with some numerical examples. In particular, it is analyzed the case of perturbed Gegenbauer polynomials and the limit case of Jacobi-Sobolev polynomials. In these examples the theoretical bounds give sharp relative rounding error estimations.