The Method of Resultants for Computing Real Solutions of Polynomial Systems
Eugene L. Allgower, Kurt Georg, Rick Miranda · SIAM Journal on Numerical Analysis · 1992
A new method for determining the real solutions to a set of polynomial equations is presented. It is based on the theory of multiresultants. The inherently unstable calculation of the determinant is replaced by a stable minimization procedure which is able to take advantage of the sparseness of the resultant matrix. Two numerical examples illustrate the method. The paper contains preliminary work which demonstrates the feasibility of the given approach.