Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:machine_learning
economics engineering physics |
| gptkbp:appliesTo |
functions of several variables
|
| gptkbp:component |
second partial derivatives
|
| gptkbp:defines |
square matrix of second-order partial derivatives of a scalar-valued function
|
| gptkbp:dimensions |
n x n for n variables
|
| gptkbp:field |
gptkb:mathematics
optimization multivariable calculus |
| gptkbp:heldBy |
symmetric if second derivatives are continuous
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hessian matrix
|
| gptkbp:namedAfter |
gptkb:Ludwig_Otto_Hesse
|
| gptkbp:notation |
H(f) or ∇²f
|
| gptkbp:relatedTo |
gptkb:Laplace_operator
Jacobian matrix |
| gptkbp:usedFor |
gptkb:second_derivative_test
analyzing local curvature of functions determining local extrema |
| gptkbp:bfsParent |
gptkb:Hessian
|
| gptkbp:bfsLayer |
5
|