SVD seems to be most safe and stable, and it is available. I see that people suggest some forms of rank-revealing QR factorization, but they are less stable, an

SVD seems to be most safe and stable, and it is available. I see that people suggest some forms of rank-revealing QR factorization, but they are less stable, and I am not sure how to access that from LAPACK. Any practical suggestions are appreciated in that regard.