We implement a real polyhedral homotopy method using three functions. The first function provides a certificate that our real polyhedral homotopy is applicable to a given system; the second function generates binomial systems for a start system; the third function outputs target solutions from the start system obtained by the second function. This work realizes the theoretical contributions in \cite{ergur2019polyhedral} as easy to use functions, allowing for further investigation into real homotopy algorithms.
翻译:我们用三个函数来实施真正的多元同质配对法。 第一个函数提供了一个证书,证明我们真正的多元同质配对法适用于给定的系统; 第二个函数生成启动系统的二元制系统; 第三个函数输出目标解决方案来自由第二个函数获得的初始系统。 这项工作在\ cite{ergur2019polyhedral} 中实现了理论贡献, 很容易使用功能, 从而可以对真正的同质算法进行进一步调查 。