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Scilabヘルプ >> Polynomials > invr

invr

(有理) 行列の逆

呼び出し手順

F = invr(H)

パラメータ

H

多項式または有理行列

F

有理行列

説明

invr はLeverrierのアルゴリズムにより H-1を計算します (関数コード参照).

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

参照

  • inv — 逆行列
  • glever — 行列ペンシルの逆
  • coffg — 多項式行列の逆
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Last updated:
Mon Jan 03 14:37:49 CET 2022