We are interested in all finite solutions of polynomial systems. The start system normally used in the homotopy causes divergent continuation paths when applied to a deficient system. Our aim is to avoid this wasted computation by constructing a new start system. The start system presented in this paper respects the m-homogeneous structure of the system we want to solve.
Appl. Math. Comput. 44(3):225-239, 1991.