Noun
Hessian matrix (plural Hessian matrices or Hessian matrixes)
(mathematics) The square matrix of second-order partial derivatives of a scalar-valued function. It describes the local curvature of a function of many variables.
For approximations of the 2nd derivatives (collected in the Hessian matrix) the number of function evaluations is in the order of N². Source: Internet
The different cases may be distinguished by considering the eigenvalues of the Hessian matrix of second derivatives. Source: Internet