Householder transformation

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application numerical linear algebra
eigenvalue algorithms
least squares problems
gptkbp:defines A linear transformation that reflects a vector in a plane or hyperplane
gptkbp:field linear algebra
https://www.w3.org/2000/01/rdf-schema#label Householder transformation
gptkbp:matrixRepresentation gptkb:Householder_matrix
gptkbp:namedAfter gptkb:Alston_Scott_Householder
gptkbp:property involutory
orthogonal (if over real numbers)
unitary (if over complex numbers)
gptkbp:type gptkb:transformation
orthogonal transformation
gptkbp:usedFor QR decomposition
orthogonalization
reflection of vectors
gptkbp:bfsParent gptkb:Gram-Schmidt_process
gptkb:Albert_S._Householder
gptkbp:bfsLayer 6