Resumen de Roundoff errors of the evaluation of Lagrange formulae

Jesús Miguel Carnicer, T. N. T. Goodman, Juan Manuel Peña Ferrández

• A roundoff error analysis of the Lagrange interpolation formula for evaluating polynomials is performed. We have taken into account that all steps but the last one can be computed to high relative accuracy. The exactness of the initial data is crucial for obtaining low error bounds. Related formulae are considered and numerical experiments are provided.