geqrf(input, *, out=None) -> (Tensor, Tensor)¶
This is a low-level function for calling LAPACK’s geqrf directly. This function returns a namedtuple (a, tau) as defined in LAPACK documentation for geqrf .
Computes a QR decomposition of
input. Both Q and R matrices are stored in the same output tensor a. The elements of R are stored on and above the diagonal. Elementary reflectors (or Householder vectors) implicitly defining matrix Q are stored below the diagonal. The results of this function can be used together with
torch.linalg.householder_product()to obtain the Q matrix or with
torch.ormqr(), which uses an implicit representation of the Q matrix, for an efficient matrix-matrix multiplication.
See LAPACK documentation for geqrf for further details.