fullrfk

Scilab Function
Last update : 16/12/2004

fullrfk - full rank factorization of `A^k`

### Calling Sequence

  `[Bk,Ck]=fullrfk(A,k)`

### Parameters

- `A` : real or complex matrix
- `k` : integer
- `Bk,Ck` : real or complex matrices

### Description

This function computes the full rank factorization of `A^k` i.e. `Bk*Ck=A^k` where `Bk` is full column rank and `Ck` full row rank. One has range(`Bk` )=range(`A^k` ) and ker(`Ck` )=ker(`A^k` ).

For `k=1` , `fullrfk` is equivalent to `fullrf` .

### Examples

    A=rand(5,2)*rand(2,5);[Bk,Ck]=fullrfk(A,3);
    norm(Bk*Ck-A^3,1)

### See Also

`fullrf` , `range` ,

### Author

F.D (1990);