论文标题
关于多项式变形虫的计算方面的综述
A review on computational aspects of polynomial amoebas
论文作者
论文摘要
我们回顾了有关多项式变形虫主题的论文结果,重点是该主题的计算方面。多项式变形虫在科学的各个领域中都有很多应用。对于给定的多项式和描述其特性的变形虫的计算通常是一个强大的复杂性问题。我们描述了用于计算和描述与它们相关的变形虫和几何对象的主要算法,例如轮廓和刺。我们回顾了用于计算多项式变形虫的最新软件包,并比较它们的功能和性能。
We review results of papers written on the topic of polynomial amoebas with an emphasis on computational aspects of the topic. The polynomial amoebas have a lot of applications in various domains of science. Computation of the amoeba for a given polynomial and describing its properties is in general a problem of formidable complexity. We describe the main algorithms for computing and depicting the amoebas and geometrical objects associated with them, such as contours and spines. We review the latest software packages for computing the polynomial amoebas and compare their functionality and performance.