Computing the relations for the coefficients satisfied by the
characteristic polynomial of the Kronecker product of a general
$n \times n$ matrix by a general $m \times m$ 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 $(n, m) \in \{ (2,3), (2,4), (3,3)$ and
use these problems for developing and testing a new elimination
technique called elimination by degree steering.
@article{1243429962,
author = {Plesken, W. and Robertz, D.},
title = {Elimination for Coefficients of Special Characteristic Polynomials},
journal = {Experiment. Math.},
volume = {17},
number = {1},
year = {2008},
pages = { 499-510},
language = {en},
url = {http://dml.mathdoc.fr/item/1243429962}
}
Plesken, W.; Robertz, D. Elimination for Coefficients of Special Characteristic Polynomials. Experiment. Math., Tome 17 (2008) no. 1, pp. 499-510. http://gdmltest.u-ga.fr/item/1243429962/