Introduction to Numerical Algebraic Geometry

Series: 
Research Horizons Seminar
Tuesday, April 6, 2010 - 12:00
1 hour (actually 50 minutes)
Location: 
Skiles 255
,  
School of Math, Georgia Tech

Hosted by: Huy Huynh and Yao Li

One of the basic problems arising in many pure and applied areas of mathematics is to solve a system of polynomial equations. Numerical Algebraic Geometry starts with addressing this fundamental problem and develops machinery to describe higher-dimensional solution sets (varieties) with approximate data. I will introduce numerical polynomial homotopy continuation, a technique that is radically different from the classical symbolic approaches as it is powered by (inexact) numerical methods.