norm of matrix

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-16.13

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https://metanorma.github.io/isq-smart/math/part-2-16/t2-16.13
urn:iso:std:iso:80000:-2:ed-2:en:item:2-16.13

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-16.13

IEC

urn:iec:std:iec:80000-2:2019:::item:2-16.13

Designations

ENnorm of matrix

FRnorme d'une matrice

Symbol

∥ A ∥

Notation systems

AsciiMath

norm(bb(ii(A)))

LaTeX

{\lVert \mathbf{\mathit{A}} \lVert}

Definition

norm of matrix $A$

norme de la matrice $A$

The norm of matrix $A$ is a number characterizing this matrix and satisfying the triangle inequality:

if $A + B = C$ , then $∥ A ∥ + ∥ B ∥ \geq ∥ C ∥$ .

Different matrix norms are used.

La norme de la matrice $A$ est un nombre caractérisant cette matrice et vérifiant l'inégalité triangulaire:

si $A + B = C$ , alors $∥ A ∥ + ∥ B ∥ \geq ∥ C ∥$ .

Plusieurs normes de matrices sont utilisées.

A mathematical concept as defined in ISO/IEC 80000 Part 2.

isq:t2-16.13

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-16.13
skosxl:prefLabel	"norm of matrix"@en
skosxl:altLabel	"norm(bb(ii(A)))"@en
skos:definition	norm of matrix stem:[bb(ii(A))]
skos:note	The norm of matrix stem:[bb(ii(A))] is a number characterizing this matrix and satisfying the triangle inequality: if s…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-16