up previous next
jacobian

the Jacobian of a list of polynomials

Syntax
jacobian(L:LIST):MAT

where L is a list of polynomials.

Description
This function returns the Jacobian matrix of the polynomials in L with respect to all the indeterminates of the current ring.

Example
/**/  Use R ::= QQ[x,y];
/**/  L := [x-y, x^2-y, x^3-y^2];
/**/  jacobian(L);
matrix([
  [1, -1],
  [2*x, -1],
  [3*x^2, -2*y]
])