Poincaré separation theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:Hermitian_matrices
symmetric matrices
gptkbp:describes relationship between eigenvalues of a symmetric matrix and its principal submatrices
gptkbp:field linear algebra
matrix theory
https://www.w3.org/2000/01/rdf-schema#label Poincaré separation theorem
gptkbp:namedAfter gptkb:Henri_Poincaré
gptkbp:state eigenvalues of a principal submatrix interlace those of the original matrix
gptkbp:usedIn gptkb:spectral_graph_theory
matrix analysis
gptkbp:bfsParent gptkb:Henri_Poincaré
gptkbp:bfsLayer 5