Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algorithm
|
| gptkbp:appliesTo |
inner product space
|
| gptkbp:category |
numerical linear algebra
matrix decomposition |
| gptkbp:field |
linear algebra
|
| gptkbp:firstPublished |
1907
|
| gptkbp:hasVariant |
gptkb:classical_Gram-Schmidt
gptkb:modified_Gram-Schmidt |
| https://www.w3.org/2000/01/rdf-schema#label |
Gram-Schmidt process
|
| gptkbp:improves |
basis for subspace
|
| gptkbp:input |
finite set of linearly independent vectors
|
| gptkbp:limitation |
numerical instability in classical version
|
| gptkbp:namedAfter |
gptkb:Erhard_Schmidt
gptkb:Jørgen_Pedersen_Gram |
| gptkbp:output |
orthonormal set of vectors
|
| gptkbp:relatedTo |
gptkb:Householder_transformation
orthogonal group QR factorization orthogonalization |
| gptkbp:usedFor |
QR decomposition
orthonormalization |
| gptkbp:bfsParent |
gptkb:Euclidean_space
gptkb:Linear_algebra gptkb:Orthogonal_group |
| gptkbp:bfsLayer |
5
|