About: Householder operator

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In linear algebra, the Householder operator is defined as follows. Let be a finite dimensional inner product space with inner product and unit vector . Then is defined by This operator reflects the vector across a plane given by the normal vector . It is also common to choose a non-unit vector , and normalize it directly in the Householder operator's expression

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rdfs:label	Opérateur de Householder (fr) Householder operator (en)
rdfs:comment	In linear algebra, the Householder operator is defined as follows. Let be a finite dimensional inner product space with inner product and unit vector . Then is defined by This operator reflects the vector across a plane given by the normal vector . It is also common to choose a non-unit vector , and normalize it directly in the Householder operator's expression (en) En algèbre linéaire, l'opérateur de Householder est défini comme suit. Soit un espace vectoriel dit préhilbertien de dimension finie, avec une loi de composition interne et un vecteur unitaire noté . Alors l'opérateur de Householder est défini par Cet opérateur reflète le vecteur selon un plan donné par le vecteur normal . Il est également courant de choisir un vecteur non unitaire , et de le normaliser directement dans l'expression de l'opérateur Householder comme suit : (fr)
dcterms:subject	Numerical linear algebra
Wikipage page ID	7989945 (xsd:integer)
Wikipage revision ID	1101044450 (xsd:integer)
Link from a Wikipage to another Wikipage	Vector space Operator (mathematics) Linear algebra Linear operator Householder transformation Numerical linear algebra Inner product Inner product space Orthogonal matrix Unit vector Unitary matrix Self-adjoint
sameAs	Householder operator Householder operator Householder operator Householder operator
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Linear-algebra-stub
has abstract	In linear algebra, the Householder operator is defined as follows. Let be a finite dimensional inner product space with inner product and unit vector . Then is defined by This operator reflects the vector across a plane given by the normal vector . It is also common to choose a non-unit vector , and normalize it directly in the Householder operator's expression (en) En algèbre linéaire, l'opérateur de Householder est défini comme suit. Soit un espace vectoriel dit préhilbertien de dimension finie, avec une loi de composition interne et un vecteur unitaire noté . Alors l'opérateur de Householder est défini par Cet opérateur reflète le vecteur selon un plan donné par le vecteur normal . Il est également courant de choisir un vecteur non unitaire , et de le normaliser directement dans l'expression de l'opérateur Householder comme suit : (fr)
prov:wasDerivedFrom	wikipedia-en:Householder_operator?oldid=1101044450&ns=0
page length (characters) of wiki page	1774 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Householder_operator
is Link from a Wikipage to another Wikipage of	List of numerical analysis topics Householder transformation Householder Operator
is Wikipage redirect of	Householder Operator
is foaf:primaryTopic of	wikipedia-en:Householder_operator

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