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Scilab 5.5.1
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See the recommended documentation of this function

# norm

### 呼び出し手順

`[y]=norm(x [,flag])`

x

flag

y

ノルム

### 説明

norm(x)

または`norm(x,2)``x`の最大特異値 (`max(svd(x))`) となります.

norm(x,1)

`x`のl_1 ノルム (列の和の最大値: `max(sum(abs(x),'r'))` ).

norm(x,'inf'),norm(x,%inf)

`x`の無限大ノルム (列の和の最大値 : `max(sum(abs(x),'c'))` ).

norm(x,'fro')

フロベニウスノルム,すなわち, `sqrt(sum(diag(x'*x)))`.

ベクトルの場合

norm(v,p)

l_p ノルム (`sum(v(i)^p))^(1/p)` .

norm(v), norm(v,2)

l_2 ノルム

norm(v,'inf')

`max(abs(v(i)))`.

### 例

```A=[1,2,3];
norm(A,1)
norm(A,'inf')
A=[1,2;3,4]
max(svd(A))-norm(A)
A=sparse([1 0 0 33 -1])
norm(A)```

### 参照

• h_norm — H無限大ノルム
• dhnorm — 離散 H無限大ノルム
• h2norm — 連続時間プロパー動的システムのH2ノルム
• abs — 絶対値, 大きさ
• svd — 特異値分解

### Comments

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