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Scilabヘルプ >> Linear Algebra > Matrix Pencil > pencan

# pencan

### 呼び出し手順

```[Q,M,i1]=pencan(Fs)

[Q,M,i1]=pencan(E,A)```

Fs

E,A

Q,M

i1

### 説明

`M*E*Q` はブロック行列です.

```[I,0;
0,N]```

ただし,`N`は冪零行列`N`, `i1` = 行列`I`の大きさです.

`M*A*Q` は以下のようなブロック行列です:

```[Ar,0;
0,I]```

### 例

```F=randpencil([],[1,2],[1,2,3],[]);
F=rand(6,6)*F*rand(6,6);
[Q,M,i1]=pencan(F);
W=clean(M*F*Q)
roots(det(W(1:i1,1:i1)))
det(W(\$-2:\$,\$-2:\$))```

### 参照

• glever — 行列ペンシルの逆
• penlaur — 行列ペンシルのローラン係数
• rowshuff — シャッフルアルゴリズム
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