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Texas Instruments TI-Nspire CX CAS Manual

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LU
Catalogue >
LU Matrice, lMatrice, uMatrice, pMatrice
[,Tol]
Calcule la décomposition LU (lower-upper)
de Doolittle d'une matrice réelle ou
complexe. La matrice triangulaire inférieure
est stockée dans IMatrice, la matrice
triangulaire supérieure dans uMatrice et la
matrice de permutation (qui décrit les
échange de lignes exécutés pendant le
calcul) dans pMatrice.
lMatrice · uMatrice = pMatrice ·
matrice
L'argument facultatif Tol permet de
considérer comme nul tout élément de la
matrice dont la valeur absolue est
inférieure à Tol. Cet argument n'est utilisé
que si la matrice contient des nombres en
virgule flottante et ne contient pas de
variables symbolique sans valeur affectée.
Dans le cas contraire, Tol est ignoré.
• Si vous utilisez /· ou définissez le
mode Auto ou Approché (Approximate)
sur Approché (Approximate), les calculs
sont exécutés en virgule flottante.
• Si Tol est omis ou inutilisé, la tolérance
par défaut est calculée comme suit :
5EM14 ·max(dim(Matrice)) ·rowNorm
(Matrice)
L'algorithme de factorisation LU utilise la
méthode du Pivot partiel avec échanges de
lignes.
M
mat4list()
Catalogue >
mat4list(Matrice)⇒liste
Donne la liste obtenue en copiant les
éléments de Matrice ligne par ligne.
Remarque : vous pouvez insérer cette
fonction à partir du clavier de l'ordinateur
en entrant mat@>list(...).
… 124 …


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