= Hessian Matrices = A '''Hessian matrix''' is a square matrix of second-order [[Calculus/PartialDerivative|partial derivatives]]. <> ---- == Description == For a multivariate function ''f(x,y)'', the Hessian matrix is given by: {{attachment:hessian.svg}} === Comparison to Jacobian Matrices === A [[Calculus/JacobianMatricesAndDeterminants|Jacobian matrix]] is also a square matrix of partial derivatives. Importantly however, it is formed by the first-order derivatives of a vector-valued function, such as a [[Calculus/ParametricEquation|parameterized]] function. ---- CategoryRicottone