PHCpack in Macaulay2
PHCpack in Macaulay2
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麦考利2中的PHCpack
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
J. Verschelde
中科院分区：
文献类型：
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作者：
Elizabeth Gross;Sonja Petrović;J. Verschelde
Macaulay 2包PHCpack提供了PHCpack的接口，PHCpack是一种使用同伦延拓的通用多项式系统求解器。主要的方法是一个数值黑箱求解器，实现了所有洛朗系统。该软件包还提供了一个快速的混合体积计算，过滤解决方案的能力，同伦路径跟踪，和一个数值不可约分解方法。由于应用代数几何中的许多问题的大小往往超过符号软件的能力，这个软件包将对那些涉及大型多项式系统的问题的工作感兴趣。
The Macaulay2 package PHCpack provides an interface to PHCpack, a generalpurpose polynomial system solver that uses homotopy continuation. The main method is a numerical blackbox solver which is implemented for all Laurent systems. The package also provides a fast mixed volume computation, the ability to filter solutions, homotopy path tracking, and a numerical irreducible decomposition method. As the size of many problems in applied algebraic geometry often surpasses the capabilities of symbolic software, this package will be of interest to those working on problems involving large polynomial systems.