Cauchy matrix

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:application coding theory
cryptography
interpolation
gptkbp:category structured matrix
gptkbp:defines A matrix whose elements are of the form 1/(x_i - y_j) for two sequences (x_i) and (y_j) with x_i ≠ y_j.
gptkbp:determinant explicit formula exists
gptkbp:field gptkb:mathematics
linear algebra
https://www.w3.org/2000/01/rdf-schema#label Cauchy matrix
gptkbp:invertible yes
gptkbp:namedAfter gptkb:Augustin-Louis_Cauchy
gptkbp:property all minors are nonzero if x_i and y_j are distinct
gptkbp:relatedTo gptkb:Vandermonde_matrix
gptkb:Hilbert_matrix
gptkbp:usedIn numerical analysis
gptkbp:bfsParent gptkb:Cauchy,_Augustin-Louis
gptkb:Vandermonde_matrix
gptkbp:bfsLayer 7