Macaulay matrix
Macaulay matrix. Given $n+1$ polynomials in $n$ variables of degree $d_0,...,d_n$, this matrix is constructed by constructing all the monomials of degree $\mu=\sum_{i=0}^{n} d_i -n$ and replacing in this list of monomials, the monomial $x_{i}^{d_{i}}$ by the polynomial $V_{i}$. In this way, we obtain a list of polynomials, which forms the columns in the macaulay matrix.
generated by doc++