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# torch.geqrf

torch.geqrf(input, *, out=None)

  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.

  Note

  See also `torch.linalg.qr()`, which computes Q and R matrices, and `torch.linalg.lstsq()` with the `driver="gels"` option for a function that can solve matrix equations using a QR decomposition.

  Parameters:

    input (Tensor) – the input matrix

  Keyword Arguments:

    out (tuple, optional) – the output tuple of (Tensor, Tensor). Ignored if None. Default: None.

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