CoCoA:Jacobian

Jacobian

the Jacobian of 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 ::= Q[x,y];
  L := [x-y, x^2-y, x^3-y^2];
  Jacobian(L);
Mat([
  [1, -1],
  [2x, -1],
  [3x^2, -2y]
])
-------------------------------

Syntax

Jacobian(L:LIST):MAT

where L is a list of polynomials.

   <type>polynomial</type>
   <type>matrix</type>