Polynomial equations appear in a wide variety of topics.
A story about how game theory meets multilinear systems and product of simplices.
A classical problem from robotics
Triangulation of a dinosaur
environmental and energy stress response of the bacterium Bacillus subtilis
The conformation space of cyclooctane
Using HomotopyContinuation.jl for a problem in kinematics
Computing a macroscopic configuration
Reconstructing a tensor from linear measurements
Computing the reach
Sampling an algebraic variety and computing its homology
An adventure at the intersection of statistics and nonlinear algebra.
By intersecting with linear spaces
For mixtures of three Gaussians
Computing critical points
Integrating functions on a variety
Let two ellipses grow until they intersect
Computing the degree of a cubic symmetroid
Using homotopy continuation for computing the CPD of a tensor
Using HomotopyContinuation.jl for computing tritangents of sextic curves
How to compute curvature
All of them can be real.
Using HomotopyContinuation.jl for a problem in enumerative geometry