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Scilabヘルプ >> Linear Algebra > Subspaces > spanplus

# spanplus

### 呼び出し手順

`[X,dim,dima]=spanplus(A,B[,tol])`

A, B

X

dim, dima

tol

### 説明

`X`の最初の`dima`列が range(`A`)に展開し, これ以降の(`dim-dima`)列が, `A+B``A`に関する基底を構成.

`X`の最初の`dim`列は, `A+B`の基底を構成します.

`[A,B]`に関する以下の正準形式が定義されます:

```[*,*]    (dima 行)
X'*[A,B]=[0,*]    (dim-dima 行)
[0,0]```

`tol` はオプションの引数です(関数のコードを参照).

### 例

```A=rand(6,2)*rand(2,5);      // rank(A)=2
B=[A(:,1),rand(6,2)]*rand(3,3);   //独立なベクトル2つを追加
[X,dim,dimA]=spanplus(A,B);
dimA
dim```

### 参照

 Report an issue << spaninter Subspaces spantwo >>

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