校级学术报告

题目：Solving Polynomial Systems
报告人：李天岩教授
（University Distinguished Professor Tien Yien Li，Michigan State University, USA）
简介：李天岩教授是美国密西根州立大学的杰出教授，混沌理论，非线性方程组数值解的现代同伦算法的开创者，并解决了著名的乌伦猜想（乌伦是氢弹之父）
时间：2006. 6. 12, 下午 3：30-4:30
地点：华东师范大学理科楼 A510
摘要：The problem of solving polynomial systems has been, and will continue to be, one of the most important subjects in both pure and applied mathematics. The need to solve systems of polynomial equations occurs frequently in various fields of science and engineering, such as, formula construction, geometric intersection problems, inverse kinematics, robotics, vision, power flow problem with PQ - specified buses, and the computation of equilibrium states of chemical reaction equations, etc.
In this talk, a numerical approach, developed in the last two decades, by using the homotopy continuation method will be surveyed. The method involves first solving a trivial system, and then deforming these solutions along smooth paths to the solutions of the target system. The method has been successfully implemented in solving many polynomial systems, and the amount of computation required to find all solutions can be made roughly proportional to the number of solutions.

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数学系
2006．6．9．