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Macaulay2Doc :: leadTerm(ZZ,Matrix)

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

Synopsis

Description

Returns the matrix whose i-th column is the lead term of the i-th column of f, using the first n parts of the monomial order.
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