Solving systems of multivariate polynomial equations and its application to distance computation between quadratic complexes.

quadratic complexes. They can be considered as a generalization of
polyhedra with faces embedded on quadratic surfaces and bounded by
quadratic curves.
The problem can be reduced to the problem of finding the common roots
of two bivariate polynomials.
We will present different methods for solving systems of multivariate
polynomial equations and the results of applying them to our problem instances.
The methods, we will present in detail, are based on resultants
and are reducing the orignal problem to solving an univariate polynomial equation
or computing the eigenvalues of a matrix respectively.