full rank factorization
[Q,M,rk]=fullrf(A,[tol])
real or complex matrix
real number (threshold for rank determination)
real or complex matrix
integer (rank of A
)
Full rank factorization : fullrf
returns Q
and M
such
that A = Q*M
with range(Q
)=range(A
) and ker(M
)=ker(A
),
Q
full column rank , M
full row rank,
rk = rank(A) = #columns(Q) = #rows(M)
.
tol
is an optional real parameter (default value is sqrt(%eps)
).
The rank rk
of A
is defined as the number of singular values
larger than norm(A)*tol
.
If A is symmetric, fullrf
returns M=Q'
.