colcomp

Scilab Function
Last update : April 1993

colcomp - column compression, kernel, nullspace

### Calling Sequence

  `[W,rk]=colcomp(A [,flag] [,tol])`

### Parameters

- `A`: real or complex matrix
- `flag`: character string
- `tol`: real number
- `W`: square non-singular matrix (change of basis)
- `rk`: integer (rank of `A`)

### Description

Column compression of `A`: `Ac = A*W` is column compressed i.e

`Ac=[0,Af]` with `Af` full column rank, rank(`Af`) = rank(`A`) = `rk`.

`flag` and `tol` are optional parameters: `flag = 'qr'` or `'svd'` (default is `'svd'`).

`tol` = tolerance parameter (of order `%eps` as default value).

The `ma-rk` first columns of `W` span the kernel of `A` when `size(A)=(na,ma)`

### Examples

    A=rand(5,2)*rand(2,5);
    [X,r]=colcomp(A);
    norm(A*X(:,1:$-r),1)

### See Also

`rowcomp`, `fullrf`, `fullrfk`, `kernel`,

### Author

F.D.;