Hessian Matrices

A Hessian matrix is a square matrix of second-order partial derivatives.


Description

For a multivariate function f(x,y), the Hessian matrix is given by:

hessian.svg

Comparison to Jacobian Matrices

A 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 parameterized function.


CategoryRicottone

Calculus/HessianMatrix (last edited 2026-08-09 02:54:50 by DominicRicottone)