tt_left_orthogonalize

t3toolbox.backend.tt_orthogonalization.tt_left_orthogonalize(tt_cores, return_variation_cores=False)

def tt_left_orthogonalize(
        tt_cores: typ.Union[
            typ.Sequence[NDArray], # ragged. len=d, elm_shape=stack_shape+(ri,ni,r(i+1))
            NDArray, # uniform. shape=(d,)+stack_shape+(r,n,r)
        ],
        return_variation_cores: bool = False,
) -> typ.Union[
    typ.Tuple[NDArray,...], # left_tt_cores
    typ.Tuple[typ.Tuple[NDArray,...], typ.Tuple[NDArray,...]], # left_tt_cores, var_tt_cores
]:

Left-orthogonalize a Tensor train (no Tucker).

Parameters:

• tt_cores (t3toolbox.backend.common.typ.Union[t3toolbox.backend.common.typ.Sequence[NDArray], NDArray])

• return_variation_cores (bool)

Return type:

t3toolbox.backend.common.typ.Union[t3toolbox.backend.common.typ.Tuple[NDArray, Ellipsis], t3toolbox.backend.common.typ.Tuple[t3toolbox.backend.common.typ.Tuple[NDArray, Ellipsis], t3toolbox.backend.common.typ.Tuple[NDArray, Ellipsis]]]