LU decomposition with partial pivoting

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf matrix decomposition method
gptkbp:alsoKnownAs gptkb:LUP_decomposition
gptkbp:commonIn computer implementations of LU decomposition
gptkbp:form PA = LU
https://www.w3.org/2000/01/rdf-schema#label LU decomposition with partial pivoting
gptkbp:improves numerical stability
gptkbp:involves permutation matrix
upper triangular matrix
lower triangular matrix
gptkbp:L lower triangular matrix
gptkbp:output P, L, U matrices
gptkbp:PP permutation matrix
gptkbp:prevention division by small pivots
gptkbp:relatedTo gptkb:Gaussian_elimination
gptkbp:step partial pivoting
row exchanges
gptkbp:U upper triangular matrix
gptkbp:usedFor solving linear systems
matrix inversion
computing determinants
gptkbp:usedIn numerical linear algebra
gptkbp:bfsParent gptkb:LU-Zerlegung
gptkbp:bfsLayer 7