Elimination for Coefficients of Special Characteristic Polynomials

Computing the relations for the coefficients satisfied by the characteristic polynomial of the Kronecker product of a general n x n matrix by a general m x m matrix leads to an elimination problem that is already difficult for small values of n and m. In this article we focus on the problems for (n, m) epsilon {(2, 3), (2, 4), (3, 3)} and use these problems for developing and testing a new elimination technique called elimination by degree steering.