报告题目：Solving polynomial systems by homotopy continuation method

　　报告时间：2019年1月22日(周二)上午10:00

　　报告地点：616会议室

　　报 告 人：台湾中山大学 李宗錂 教授

　　邀 请 人：吴文渊 研究员

　　报告摘要:

　　While the classical linear homotopy continuation method was developed for solving polynomial systems in 1980’s, the polyhedral homotopies were established in 1995, which yields a drastic improvement over the classical linear homotopies. HOM4PS-2.0 is a software package which implements the polyhedral homotopy continuation method for solving polynomial systems. With several sophisticatedly designed algorithms in mixed volume computation and curve tracing, it surpasses the existing packages in finding all isolated zeros of polynomial systems in speed by big margins. The efficiency of HOM4PS-2.0 makes it possible now to solve some very large systems, such as 5-body Albouy-Chenciner equation and mutually touching cylinders equation.

　　报告人简介：

　　李宗錂，台湾中山大学应用数学系教授。2007年毕业于美国密西根州立大学获得博士学位，2008年-2010年美国密西根州立大学助理教授，2010年台湾中山大学教授。

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