Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
orthogonal group |
| gptkbp:application |
orthogonalization
eigenvalue algorithms solving least squares problems |
| gptkbp:category |
reflection matrix
|
| gptkbp:defines |
A matrix that represents a reflection about a plane or hyperplane in a vector space.
|
| gptkbp:determinant |
-1
|
| gptkbp:dimensions |
n x n
|
| gptkbp:eigenvalues |
1
-1 |
| gptkbp:form |
H = I - 2vv^T / (v^T v)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Householder matrix
|
| gptkbp:namedAfter |
gptkb:Alston_Scott_Householder
|
| gptkbp:property |
symmetric
orthogonal involutory |
| gptkbp:usedIn |
numerical analysis
QR decomposition linear algebra |
| gptkbp:bfsParent |
gptkb:Householder_transformation
|
| gptkbp:bfsLayer |
7
|