Rounding Error Analysis for the Evaluation of a Polynomial and Some of Its Derivatives
H. Woźniakowski · SIAM Journal on Numerical Analysis · 1974
We consider one-parameter family of Shaw–Traub algorithms (see [3]) for computing a polynomial and its normalized derivatives in floating point arithmetics fl, ${\text{fl}}_{\text{2}} $ and $\overline {{\text{fl}}} $. The numerical stability of this class is proved.