Théorie des Opérateurs et la décomposition en valeurs singulières

Instantanés de recherche mathématique à Oberwolfach

Théorie des Opérateurs et la décomposition en valeurs singulières

Cet instantané concerne la théorie des opérateurs et un de ses outils fondamentaux : la décomposition en valeur singulières (ou SVD, de l’anglais « Singular Value Decomposition »). La SVD factorise les applications linéaires en applications plus simples et dévoile leurs propriétés géométriques. De par sa capacité à organiser l’information, cet outil est devenu important dans de nombreux domaines des mathématiques appliquées. Nous traitons ici de la DVS dans les cas concrets de transformations linéaires dans le plan (telles que la rotation ou la réflexion).

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Sujet mathématique

Analyse

Liens avec d'autres domaines

Informatique
Physique

Auteur(s)

Gregory Knese

Licence

DOI

10.14760/SNAP-2014-009-EN

Télécharger PDF

snapshot-2014-009.pdf

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Sujet mathématique

Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique

Liens avec d'autres domaines

Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques

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