Courant–Fischer theorem

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs min-max theorem
gptkbp:appliesTo gptkb:Hermitian_matrices
symmetric matrices
gptkbp:describes eigenvalues of Hermitian matrices
gptkbp:field linear algebra
matrix theory
https://www.w3.org/2000/01/rdf-schema#label Courant–Fischer theorem
gptkbp:namedAfter gptkb:Richard_Courant
gptkb:Ferdinand_Fischer
gptkbp:publishedIn gptkb:Mathematische_Annalen
gptkbp:state the k-th largest eigenvalue of a Hermitian matrix is the minimum of the maximum Rayleigh quotient over k-dimensional subspaces
gptkbp:usedIn spectral theory
matrix analysis
gptkbp:yearProposed 1905
gptkbp:bfsParent gptkb:Weyl's_inequality
gptkbp:bfsLayer 5