Finding the roots to polynomial equations with several complex variables using a homotopy proceedure from a system of polynomials with known roots to the system of given polynomials with unknown roots. As time increments by a time step of dt , the current roots are used as the next guess in Newton's method. Complications involve root collisions, however, this is circumvented by means of a guess of collision time and a flip of the roots by 90 degrees.
Document includes one nontrivial example.
Code is currently unavailable for the several variable algorithm.