Name
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)