Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
eigenvalues
matrices diagonal entries |
| gptkbp:field |
linear algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mirsky's theorem
|
| gptkbp:namedAfter |
gptkb:Leon_Mirsky
|
| gptkbp:publicationYear |
1958
|
| gptkbp:publishedIn |
gptkb:Duke_Mathematical_Journal
|
| gptkbp:relatedTo |
gptkb:Schur–Horn_theorem
|
| gptkbp:state |
For any two sequences of complex numbers, there exists a square matrix with the first sequence as its diagonal entries and the second as its eigenvalues if and only if the sequences have the same sum.
|
| gptkbp:bfsParent |
gptkb:Dilworth's_theorem
|
| gptkbp:bfsLayer |
6
|