论文标题

Multivar_Horner:用于计算多元多项式的Horner分解的Python软件包

multivar_horner: a python package for computing Horner factorisations of multivariate polynomials

论文作者

Michelfeit, Jannik

论文摘要

科学中的许多应用都需要在数值上稳定且对多元多项式的计算有效评估。因此,找到多项式的有益表示,例如霍纳(Horner)分解,至关重要。 Multivar_horner是此处介绍的Python软件包,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软件包的功能,并将其引用到现场的先前工作。总体上,基准还证明了实施和Horner分解的优势。

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.

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