leadTerm(ZZ,Matrix) -- get the matrix of lead polynomials of each column

Synopsis

• Function: leadTerm

• Usage:

  leadTerm(n,f)

• Inputs:
  • n, an integer
  • f, a matrix, in a polynomial ring
• Outputs:
  • a matrix, the lead term matrix of f using the first n parts of the monomial order

Description

i1 : R = QQ[x,y,z,a..d,MonomialOrder=>ProductOrder{3,4}];

i2 : f = matrix{{0,x^2*(a+b)}, {a*x+2*b*y, y^2*(c+d)}}

o2 = | 0      x2a+x2b |
     | xa+2yb y2c+y2d |

             2      2
o2 : Matrix R  <-- R

i3 : leadTerm(1,f)

o3 = | 0  x2a+x2b |
     | xa 0       |

             2      2
o3 : Matrix R  <-- R

See also

• selectInSubring -- select columns in a subring