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D.15.30.9 evalJacobianAtBox

Procedure from library rootisolation.lib (see rootisolation_lib).

Usage:
evalJacobianAtBox(I, B); I ideal, B box

Return:
Jacobian matrix of I where polynomials are evaluated at B

Purpose:
evaluates each polynomial of the Jacobian matrix of I using interval arithmetic

Example:
 
LIB "rootisolation.lib";
ring R = 0,(x,y),dp;
ideal I = 2x2-xy+2y2-2, 2x2-3xy+3y2-2;
interval J = bounds(-1,1);
evalJacobianAtBox(I, list(J,J));
==> [-5, 5],[-5, 5]
==> [-7, 7],[-9, 9]
==>