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);