Solving polynomial equations


Wednesday, July 16, 2014 at 15:00 – GSSI, Room D


Prof. Sandra Di Rocco, KTH Stoccolma


Non linear systems of equations arise in a variety of fields and applications. It is therefore important to develop fast and efficient algorithms to find and numerically describe solutions. Algebraic Geometry is one of the tools that are proving to be effective. This talk will introduce the general ideas behind the use of algebraic structures in solving polynomial systems. The effectiveness of the methods will be presented through engineering applications, like kinematic problems. Algebraic Geometry has a profoud history in pure mathematics, partially initiated by italian researchers at the beginning of the last century. The classical theory of projective geometry provides the basic ideas behind fast algorithms for solving polynomial equations, like BERTINI: