Greedy algorithms for optimizing multivariate Horner schemes

  title={Greedy algorithms for optimizing multivariate Horner schemes},
  author={Martine Ceberio and Vladik Kreinovich},
  journal={ACM SIGSAM Bulletin},
For univariate polynomials <i>f</i>(<i>x</i><sub>1</sub>), Horner's scheme provides the fastest way to compute a value. For multivariate polynomials, several different version of Horner's scheme are possible; it is not clear which of them is optimal. In this paper, we propose a greedy algorithm, which it is hoped will lead to good computation times.The univariate Horner scheme has another advantage: if the value <i>x</i><sub>1</sub> is known with uncertainty, and we are interested in the… CONTINUE READING
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