Numerical Algebraic Geometry

Specialeforsvar: Lars Emil Brink-Kjær

Titel: Numerical Algebraic Geometry
Solving Polynomial Systems Using Homotopy Continuation and Certification

Abstract: This thesis contains numerical methods for solving polynomial systems using homotopy continuation and certification. It discusses some of the issues that might occur in homotopy continuation, and we have implemented different versions of this method using Python v.3.8.8, which expose and deal with these various issues. Furthermore, the method of certification is explored and implemented. Examples of real world applications are provided e.g. the inverse kinematics problem for the six revolute serial link robot, which is solved using this implementation.

Vejleder: Elisenda Feliu
Censor:  Anders Nedergaard Jensen, Aarhus Universitet