Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Matrix_decomposition
|
| gptkbp:alsoKnownAs |
LU decomposition
LU factorization |
| gptkbp:decomposes |
square matrix
|
| gptkbp:decomposesInto |
upper triangular matrix
lower triangular matrix |
| gptkbp:fieldOfStudy |
computational mathematics
numerical analysis |
| gptkbp:generalizes |
gptkb:LUP_decomposition
gptkb:LU_decomposition_with_partial_pivoting |
| gptkbp:introducedIn |
1930s
|
| gptkbp:inventedBy |
gptkb:Tadeusz_Banachiewicz
|
| gptkbp:notation |
A = LU
|
| gptkbp:relatedTo |
Cholesky decomposition
QR decomposition |
| gptkbp:requires |
matrix with nonzero leading principal minors
|
| gptkbp:usedFor |
solving systems of linear equations
matrix inversion computing determinants |
| gptkbp:usedIn |
linear algebra
|
| gptkbp:bfsParent |
gptkb:Lineare_Algebra
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
LU-Zerlegung
|