Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
non-negative matrices
positive matrices |
| gptkbp:field |
linear algebra
matrix theory |
| gptkbp:generalizes |
gptkb:Krein–Rutman_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Perron-Frobenius theorem
|
| gptkbp:namedAfter |
gptkb:Oskar_Perron
Ferdinand Frobenius |
| gptkbp:relatedTo |
spectral radius
irreducible matrix primitive matrix |
| gptkbp:state |
the largest eigenvalue has an associated positive eigenvector
the largest eigenvalue is positive a real square matrix with positive entries has a unique largest real eigenvalue |
| gptkbp:usedIn |
gptkb:probability_theory
gptkb:Markov_chains economics demography graph theory |
| gptkbp:yearProposed |
1907
|
| gptkbp:bfsParent |
gptkb:Perron's_method
|
| gptkbp:bfsLayer |
7
|