hessMTg ============================================== Purpose ---------------- Computes numerical Hessian using gradient procedure. Format ---------------- .. function:: h = hessMTg(&gfct, par1, data1) :param &gfct: pointer to procedure computing either 1xK gradient or NxK Jacobian. :type &gfct: scalar :param par1: an instance of structure of type :class:`PV` containing parameter vector at which Hessian is to be evaluated :type par1: struct :param data1: structure of type :class:`DS` containing any data needed by *gfct* :type data1: struct :return h: Hessian. :rtype h: KxK matrix Examples ---------------- :: // Define a PV structure struct PV p1; // Create p1 PV structure p1 = pvCreate; // Fill PV structure p1 = pvPack(p1, 0.1|0.2, "P"); // Create data matrix x = seqa(1, 1, 15); // Function to compute Hessian proc gfct(struct PV p0, x); local p, g1, g2; // Unpack parameters p = pvUnpack(p0, "P"); // Define gradients g1 = exp(-p[2] * x); g2 = -p[1] * x .* g1; retp(g1~g2); endp; // Find Hessian h = hessMTg(&gfct, p1, x); Remarks ------- *par1* must be created using the :func:`pvPack` procedures. Source ------ hessmt.src