Many applications in the sciences require numerically stable and computationally efficient evaluation of multivariate polynomials. Finding beneficial representations of polynomials, such as Horner factorisations, is therefore crucial. multivar_horner, the python package presented here, is the first open source software for computing multivariate Horner factorisations. This work briefly outlines the functionality of the package and puts it into reference to previous work in the field. Benchmarks additionally prove the advantages of the implementation and Horner factorisations in general.

中文翻译：

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multivar_horner：用于计算多元多项式的霍纳因式分解的 Python 包

科学中的许多应用需要对多元多项式进行数值稳定和计算高效的评估。因此，找到多项式的有益表示（例如霍纳因式分解）至关重要。multivar_horner，这里介绍的 python 包，是第一个用于计算多元霍纳分解的开源软件。这项工作简要概述了包的功能，并将其作为该领域先前工作的参考。基准测试还证明了实现和霍纳分解的优势。