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Solving square systems of polynomial equations

The basic idea of homotopy continuation algorithms and a couple of examples

Parameter Homotopies

How to track parametrized systems of equations.

Overdetermined systems

How to track solutions of systems with more equations than variables.


How to solve polynomial system by using the monodromy method.

Solutions in projective space

Solving systems defined over projective space

Custom Homotopies

How to construct your own custom homotopy.