Hadamard inequality

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:inequality
gptkbp:appliesTo matrices
determinants
gptkbp:equalityCondition Rows are orthogonal
gptkbp:field linear algebra
gptkbp:firstPublished 1893
gptkbp:generalizes gptkb:Cauchy–Schwarz_inequality
https://www.w3.org/2000/01/rdf-schema#label Hadamard inequality
gptkbp:namedAfter gptkb:Jacques_Hadamard
gptkbp:state The absolute value of the determinant of a matrix is less than or equal to the product of the Euclidean norms of its rows
gptkbp:usedIn matrix analysis
gptkbp:bfsParent gptkb:Schur_product
gptkbp:bfsLayer 8