fullrf(1)

NAME
fullrf - full rank factorization

CALLING SEQUENCE
[Q,M,rk]=fullrf(A,[tol])

PARAMETERS

A   : real or complex matrix

tol : real number (threshold for rank determination)

Q,M : real or complex matrix

rk  : integer (rank of A)

DESCRIPTION
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.

SEE ALSO
svd, qr, fullrfk

AUTHOR
F.D.