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Aide de Scilab >> Polynômes > invr

invr

inverse une matrice de polynômes ou de fractions rationelles

Séquence d'appel

F = invr(H)

Paramètres

H
matrice de polynômes ou de quotients polynomiaux (fractions rationelles).
F
matrice de fractions rationelles

Description

invr calcule H-1 selon l'algorithme de Leverrier (voir code de la fonction).

Exemples

s = %s;
H = [s, s*s+2 ; 1-s, 1+s], iH = invr(H), H * iH

[Num,den] = coffg(H); Num/den
H = [1/s, (s+1) ; 1/(s+2), (s+3)/s]; invr(H)
--> H = [s, s*s+2 ; 1-s, 1+s], iH = invr(H), H * iH
 H  =
  s     2 +s²
  1 -s  1 +s

 iH  =
      1 +s       -2 -s²
   ----------  ----------
   -2 +3s +s³  -2 +3s +s³

     -1 +s         s
   ----------  ----------
   -2 +3s +s³  -2 +3s +s³

 ans  =
   1  0
   -  -
   1  1

   0  1
   -  -
   1  1

--> [Num,den] = coffg(H); Num/den
 ans  =
      1 +s       -2 -s²
   ----------  ----------
   -2 +3s +s³  -2 +3s +s³

     -1 +s         s
   ----------  ----------
   -2 +3s +s³  -2 +3s +s³

Voir aussi

  • inv — inverse d'une matrice
  • glever — inverse d'un faisceau de matrices
  • coffg — Co-facteurs d'une matrice carrée de polynômes ou de fractions rationnelles
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Last updated:
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