SylvesterSequence(RingElement,RingElement)

Synopsis

• Function: SylvesterSequence

• Usage:

  SylvesterSequence(f,g)

• Inputs:
  • f, a ring element
  • g, a ring element
• Outputs:
  • a list, the Sylvester sequence of f and g

Description

This computes the Sylvester sequence of two univariate polynomials f and g in the same ring

i1 : R = QQ[t]

o1 = R

o1 : PolynomialRing

i2 : f = (t+1)*(t+2)

      2
o2 = t  + 3t + 2

o2 : R

i3 : g = (t+2)

o3 = t + 2

o3 : R

i4 : SylvesterSequence(f,g)

o4 = {t + 1, 1, 0}

o4 : List

See also

• numSylvester