**Bertini Tutorial:**

Homotopy continuation and numerical algebraic geometry using Bertini

Homotopy continuation and numerical algebraic geometry using Bertini

Abstract: The field of numerical algebraic geometry consists of a collection of numerical methods for computing and manipulating solution sets to systems of polynomial equations. One foundational method in numerical algebraic geometry is homotopy continuation which tracks solutions as a parameter is changed. This tutorial will introduce some basic fundamental ideas associated with homotopy continuation and numerical algebraic geometry which will be demonstrated using the software package Bertini available at bertini.nd.edu