Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
semidefinite order
|
| gptkbp:appliesTo |
gptkb:Hermitian_matrices
self-adjoint matrices |
| gptkbp:defines |
A ⪰ B if and only if A - B is positive semidefinite
|
| gptkbp:field |
gptkb:mathematics
linear algebra matrix theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Loewner order
|
| gptkbp:namedAfter |
gptkb:Karl_Löwner
|
| gptkbp:notation |
A ⪯ B
A ⪰ B |
| gptkbp:property |
partial order
reflexive antisymmetric transitive |
| gptkbp:relatedTo |
matrix analysis
positive semidefinite matrix |
| gptkbp:usedIn |
gptkb:quantum_information_theory
operator theory matrix inequalities |
| gptkbp:bfsParent |
gptkb:Charles_Loewner
|
| gptkbp:bfsLayer |
6
|