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See the recommended documentation of this function
sylm(a,b) gives the Sylvester matrix associated to polynomials
b, i.e. the matrix
S such that:
coeff( a*x + b*y )' = S * [coeff(x)';coeff(y)'].
S is equal to
b are coprime polynomials then
rank(sylm(a,b))=degree(a)+degree(b)) and the instructions
compute Bezout factors
y of minimal degree
a*x+b*y = 1