Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
non-negative matrices
|
| gptkbp:field |
linear algebra
matrix theory |
| gptkbp:generalizes |
gptkb:Frobenius_theorem
Perron theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
Frobenius–Perron theorem
|
| gptkbp:namedAfter |
gptkb:Ferdinand_Georg_Frobenius
gptkb:Oskar_Perron |
| gptkbp:publishedIn |
1907
|
| gptkbp:relatedTo |
Perron–Frobenius eigenvalue
Perron–Frobenius vector |
| gptkbp:state |
The largest eigenvalue is positive
The largest eigenvalue has an associated positive eigenvector A real square matrix with positive entries has a unique largest real eigenvalue |
| gptkbp:usedIn |
gptkb:network_protocol
gptkb:probability_theory gptkb:Markov_chains dynamical systems economics demography |
| gptkbp:bfsParent |
gptkb:Perron–Frobenius_operator
|
| gptkbp:bfsLayer |
8
|