SOLVING APPROXIMATELY SYSTEMS OF POLYNOMIAL EQUATIONS

Series: 
Algebra Seminar
Wednesday, October 5, 2011 - 15:00
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
University of Cantabria, Spain
Organizer: 

[Note unusual day and time!]

In the last decades, path following methods have become a very popularstrategy to solve systems of polynomial equations. Many of the advances are due tothe correct understanding of the geometrical properties of an algebraic object, the so-called solution variety for polynomial system solving. I summarize here some of the mostrecent advances in the understanding of this object, focusing also on the certification andcomplexity of the numerical procedures involved in path following methods.