In this paper we will study the Hessian matrices of composite functions F which are in the form F (x) = f (g(x)) with f : R -> R and g : R^n -> R. We present an explicit formulas for the Hessian of F and for the inverse of the Hessian matrix.
In this paper we will study the Hessian matrices of composite functions F which are in the form F (x) = f (g(x)) with f : R -> R and g : R^n -> R. We present an explicit formulas for the Hessian of F and for the inverse of the Hessian matrix. (en)