Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:unitarily_invariant_norm
matrix norm |
| gptkbp:alsoKnownAs |
gptkb:Frobenius_norm
|
| gptkbp:appliesTo |
gptkb:Hilbert–Schmidt_operators
matrices |
| gptkbp:definedIn |
square root of the sum of the absolute squares of all entries
|
| gptkbp:hasSpecialCase |
gptkb:Schatten_p-norm_(p=2)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert–Schmidt norm
|
| gptkbp:isInducedBy |
gptkb:Hilbert–Schmidt_inner_product
|
| gptkbp:isNormOn |
finite-dimensional matrices
space of Hilbert–Schmidt operators |
| gptkbp:isSubmultiplicative |
false
|
| gptkbp:isUnitaryInvariant |
true
|
| gptkbp:namedAfter |
gptkb:David_Hilbert
gptkb:Erhard_Schmidt |
| gptkbp:notation |
||A||_F
||A||_{HS} |
| gptkbp:usedIn |
functional analysis
operator theory numerical linear algebra |
| gptkbp:bfsParent |
gptkb:Frobenius_norm
|
| gptkbp:bfsLayer |
6
|