Examples

Polynomial equations appear in a wide variety of topics.

Method of Moments

For mixtures of three Gaussians

Minimizing a function over the sphere

Using HomotopyContinuation.jl for a problem in optimization

The 6R-serial link robot

Using HomotopyContinuation.jl for a problem in kinematics

When do two ellipses meet?

Let two ellipses grow until they intersect

Tensor decomposition and homotopy continuation

Using homotopy continuation for computing the CPD of a tensor

Tritangents

Using HomotopyContinuation.jl for computing tritangents of sextic curves

Maximal curvature of a surface

How to compute curvature

3264 conics tangent to five conics

All of them can be real.

The number of circles that are tangent to 3 given conics

Using HomotopyContinuation.jl for a problem in enumerative geometry

Do It Yourself

3264 conics in a second.