The list of overloaded operators is the following: This is done by overloading of operations. This tool is based on the evaluation graph of the vectorial function Rn → Rm. In this section, we review the external modules which are available for differenciation in Scilab.īenoit Hamelin developped the SCIAD module for Scilab, under the supervision of Jean-Pierre Dussault. In the following session, we compute the first derivative of the polynomial p(s)=1/s. The derivat function computes the derivatives of polynomials. More details on this topic are presented in. the strategy for the computation of the step h are different.The main differences between numdiff and derivative are the following:ĭerivative can compute the Jacobian and the Hessian matrix, while numdiff can manage only the Jacobian, The previous session produces the following output: ->g=numdiff(F,x) The following script is an example for the numdiff function: function y=F(x) It is based on a choice of the step which tries to overcome the limitations of floating point arithmetic. This function provides order 1, 2 and 4 formulas. The first row of H contains the Hessian matrix of f1, while the second row of H contains the Hessian matrix of f2. We compute the Jacobian and the Hessian matrix at the point x=. We consider a function which takes x, a 3-by-1 vector, and returns y, a 2-by-1 vector.

The following session is a simple example for the derivative function. In this section, we present the derivative and numdiff functions which are both based on finite differences. Derivatives of a polynomial or a rational polynomialĪpproximate Jacobian with finite differencesĪpproximate Jacobian and Hessian with finite differences

Functions in scilab