Research report 2021 - Max Planck Institute for Mathematics in the Sciences
Solving polynomial equations
Emmy-Noether-Forschungsgruppe "Numerical and Probabilistic Nonlinear Algebra"
SummaryMany problems from the sciences can be modelled as the problem of computing the solutions to a system of polynomial equations. Starting from an example application, we will discuss basic strategies for solving such systems of equations and we will explore what solving means in this context. We will underline our philosophy that applied and theoretic scientific questions are not mutually exclusive, but that they complement each other.