On the Evaluation of Polynomial Coefficients

@article{Calvetti2003OnTE,
  title={On the Evaluation of Polynomial Coefficients},
  author={Daniela Calvetti and Lothar Reichel},
  journal={Numerical Algorithms},
  year={2003},
  volume={33},
  pages={153-161}
}
The evaluation of the coefficients of a polynomial from its zeros is considered. We show that when the evaluation is carried out by the standard algorithm in finite precision arithmetic, the accuracy of the computed coefficients depends on the order in which the zeros are introduced. An ordering that enhances the accuracy for many polynomials is presented.