LU-Zerlegung

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf 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
https://www.w3.org/2000/01/rdf-schema#label LU-Zerlegung
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 6