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Scilabヘルプ >> Polynomials > colcompr

colcompr

多項式行列の列圧縮

呼び出し手順

[Y, rk, ac] = colcompr(A)

パラメータ

A

多項式行列

Y

正方多項式行列 (右ユニモジュラ基底)

rk

Aの通常ランク

Ac

Ac=A*Y, 多項式行列

説明

多項式行列 Aの列圧縮 (左への圧縮)

s = %s;
p = [s ; s*(s+1)^2 ; 2*s^2+s^3]
[Y, rk, ac] = colcompr(p*p');
Y
clean(ac)
--> p = [s ; s*(s+1)^2 ; 2*s^2+s^3]
 p  = 
  s         
  s +2s² +s³
  2s² +s³   

--> [Y, rk, ac] = colcompr(p*p');
--> Y
 Y  = 
  1 +2s +s²  2s +s²  1
  -1         0       0
  0          -1      0

--> clean(ac)
 ans  =
  0  0  s²         
  0  0  s² +2s³ +s⁴
  0  0  2s³ +s⁴
     

参照

  • rowcompr — 多項式行列の行圧縮
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Last updated:
Mon Jan 03 14:37:49 CET 2022