Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematics concept
|
| gptkbp:appliesTo |
Scalar-valued functions
|
| gptkbp:containsElement |
Second partial derivatives
|
| gptkbp:describes |
Second-order partial derivatives
|
| gptkbp:dimensions |
n x n (for n variables)
|
| gptkbp:generalizes |
Second derivative
|
| gptkbp:heldBy |
Square matrix
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hessian
|
| gptkbp:namedAfter |
gptkb:Ludwig_Otto_Hesse
|
| gptkbp:refersTo |
gptkb:Hessian_matrix
Hessian determinant |
| gptkbp:relatedTo |
gptkb:Sylvester's_criterion
Jacobian matrix |
| gptkbp:symmetry |
Yes (if function is twice continuously differentiable)
|
| gptkbp:usedFor |
Analyzing curvature
Determining local extrema |
| gptkbp:usedIn |
gptkb:Newton's_method
gptkb:Calculus gptkb:Taylor_series_expansion Machine learning Convexity analysis Critical point analysis Multivariable calculus Optimization |
| gptkbp:bfsParent |
gptkb:Hesse
gptkb:West_Central_German |
| gptkbp:bfsLayer |
4
|