Hessian matrix
Datsun spl311
The Hessian matrix was developed in the 19th Century by German mathematician Otto Hesse, after whom it is named. It is an important tool in differential geometry, describing the local curvature of a function.
Hessian matrix [k]. By analogy with eq 1, the force felt by atom A due to displacement of atom B is given by δF A = −[k AB]δr B. The 3 × 3 interatomic force constant matrix [k AB] contains only the elements of the full Hessian matrix relating to atoms A and B: =− ∂ ∂∂ ∂ ∂∂ ∂ ∂∂ ∂ ∂∂ ∂ ∂∂ ∂ ∂∂ ∂ ∂∂ ∂ ∂∂ ∂ ∂∂ ⎡ ⎣ ⎢