Hadamard's inequality

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:inequality
gptkbp:appliesTo square matrices
determinant of a matrix
gptkbp:equalityCondition Rows are orthogonal
gptkbp:field linear algebra
gptkbp:firstPublished 1893
https://www.w3.org/2000/01/rdf-schema#label Hadamard's inequality
gptkbp:namedAfter gptkb:Jacques_Hadamard
gptkbp:sentence 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 numerical linear algebra
matrix analysis
gptkbp:bfsParent gptkb:Jacques_Hadamard
gptkbp:bfsLayer 6