Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hermitian_matrices
symmetric matrices |
| gptkbp:field |
linear algebra
|
| gptkbp:form |
(x^* A x) / (x^* x)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Rayleigh quotient
|
| gptkbp:namedAfter |
gptkb:Lord_Rayleigh
|
| gptkbp:property |
real-valued for Hermitian matrices
stationary at eigenvectors of A |
| gptkbp:relatedTo |
gptkb:Rayleigh–Ritz_method
eigenvalue problem |
| gptkbp:usedFor |
estimating eigenvalues
|
| gptkbp:usedIn |
gptkb:principal_component_analysis
quantum mechanics numerical linear algebra |
| gptkbp:variant |
A (matrix)
x (vector) |
| gptkbp:bfsParent |
gptkb:Lord_Rayleigh
|
| gptkbp:bfsLayer |
5
|