D.8.8.9 evalJacobianAtBox

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

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]
==>