Polyhedral homotopies are a class of homotopy continuation methods that utilize polyhedral structures to find solutions to systems of polynomial equations. These methods are particularly useful for tracking solutions through changes in parameters and are based on the idea that solution paths can be studied via the combinatorial properties of polytopes. This approach leverages geometric insights to ensure that the paths taken through parameter space remain within the confines of the solution set.
congrats on reading the definition of Polyhedral Homotopies. now let's actually learn it.