File: sylm.cat

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scilab 2.6-4
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sylmX            Scilab Group            Scilab Function              sylmX
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