Statements (17)
Predicate | Object |
---|---|
gptkbp:instanceOf |
matrix decomposition
|
gptkbp:appliesTo |
square matrix
|
gptkbp:field |
linear algebra
|
gptkbp:generalizes |
diagonalization
|
https://www.w3.org/2000/01/rdf-schema#label |
Schur decomposition
|
gptkbp:introducedIn |
1909
|
gptkbp:namedAfter |
gptkb:Issai_Schur
|
gptkbp:relatedTo |
gptkb:spectral_theorem
gptkb:Jordan_normal_form gptkb:QR_algorithm |
gptkbp:result |
unitary matrix
upper triangular matrix |
gptkbp:sentence |
Every square matrix can be decomposed as Q T Q* where Q is unitary and T is upper triangular.
|
gptkbp:usedFor |
eigenvalue computation
|
gptkbp:usedIn |
numerical linear algebra
|
gptkbp:bfsParent |
gptkb:Linear_algebra
|
gptkbp:bfsLayer |
5
|