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Scilabヘルプ >> Linear Algebra > Eigenvalue and Singular Value > projspec

# projspec

スペクトル演算子

### 呼び出し手順

`[S,P,D,i]=projspec(A)`

A

S, P, D

s正方行列

i

### 説明

`A`の0におけるスペクトル特性.

`S` = 0における縮小レゾルベント (`S` = -Drazin_inverse(`A`)).

`P` = 0におけるスペクトル投影.

`D` = 0における冪零演算子.

`index` = 0固有値の添字.

### 例

```deff('j=jdrn(n)','j=zeros(n,n);for k=1:n-1;j(k,k+1)=1;end')
A=sysdiag(jdrn(3),jdrn(2),rand(2,2));X=rand(7,7);
A=X*A*inv(X);
[S,P,D,index]=projspec(A);
index   //J-ブロックの大きさ
trace(P)  //J-ブロックの次元の合計
A*S-(eye()-P)
norm(D^index,1)```

### 参照

• coff — レゾルベント (余因子法)
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