Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Hermitian matrix
real symmetric matrix |
| gptkbp:characterizedBy |
positive-definite matrix
|
| gptkbp:field |
linear algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Sylvester's criterion
|
| gptkbp:namedAfter |
gptkb:James_Joseph_Sylvester
|
| gptkbp:publishedIn |
19th century
|
| gptkbp:relatedTo |
matrix theory
definiteness of quadratic forms principal minor |
| gptkbp:state |
A Hermitian matrix is positive definite if and only if all its leading principal minors are positive.
|
| gptkbp:usedFor |
determining positive definiteness
|
| gptkbp:bfsParent |
gptkb:Hessian
|
| gptkbp:bfsLayer |
5
|