sylmX(1)

NAME
sylm - Sylvester matrix

CALLING SEQUENCE
[S]=sylm(a,b)

PARAMETERS

a,b : two polynomials

S   : matrix

DESCRIPTION
sylm(a,b) gives the Sylvester matrix associated to polynomials a and b, i.e. the matrix S such that:

coeff( a*x + b*y )' = S * [coeff(x)';coeff(y)'].

Dimension of S is equal to degree(a)+degree(b).

If a and b are coprime polynomials then

rank(sylm(a,b))=degree(a)+degree(b)) and the instructions
  u = sylm(a,b)  eye(na+nb,1)
  x = poly(u(1:nb),'z','coeff')
  y = poly(u(nb+1:na+nb),'z','coeff')
compute Bezout factors x and y of minimal degree such that a*x+b*y = 1